04profit and loss

Profit and Loss

Quantitative Aptitude

1. Profit & Loss

Q. 1. What profit/loss percent did Ravi earn if he purchased an

item of Rs.5,600 and sold it at three-fourth of its cost price?

(a) Loss of 20 percent

(b) Gain of 25 percent

(c) Neither gain or loss

(d) Loss of 15 percent

(e) None of these

Ans: (e) None of these

Explanation: Q.1.

C.P. = Rs.5600

S.P. = Rs.5600x ¾ = Rs.4200

Loss = Rs.5600-4200 = Rs.1400

Loss percentage = 1400x100/5600 = 25%.Ans.

Q.2. The owner of a cell phone shop charges his customer 23%

more than the cost price. If a customer paid Rs.7,011 for a cell

phone, then what was the cost price of the cell phone?

(a) Rs.5,845

(b) Rs.6,750

(c) Rs.5,900

(d) Rs.6,925

(e) None of these


Explanation: Q.2.

123% of CP =SP

Therefore, CP = Rs.7,011x100/123 = Rs.5700. Ans.

Q.3. The cost price of 16 articles is the same as the selling price of

12 articles. Find the loss/profit percentages.

(a) 30% (b) 32.50% (c) 331/3% (d) 40% (e)None of these

Ans: (c) 331/3%.

Explanation. Q.3.

The gain is 4 out of 12 articles.

Therefore, gain percentage = 4x100/12 = 100/3 = 331/3%. Ans.

Q.4. Raju purchased an item for Rs.4,500 and sold it at the gain of

15%. From that amount he purchased another item and sold it at

the loss of 10%. What is his overall gain/loss?

(a) Gain of Rs.151.50 (b) Gain of Rs.157.50 (c) Loss of Rs.165

(d) neither gain nor loss (e) None of these

Ans: (b) Gain of Rs.157.50

Explanation Q.4.

1st SP = Rs.4500 + 15% of 4500 = Rs.4500+Rs.675 = Rs.5175

2nd CP = Rs.5175.

2nd SP = Rs.5175 – 10% of 5175 = Rs.4657.50

Overall gain = Rs.4657.50 – 4500 = Rs.157.50. Ans.

Q.5. A shopkeeper labeled the price of his articles so as to earn a

profit of 30% on the cost price. He then sold the articles by offering

a discount of 10% on the labeled price. What is the actual percent

profit earned in the deal?

(a) 18% (b)15% (c)20% (d)Cannot be determined (e)None of

these


Explanation Q.5.

Let the CP of the article = Rs.100.

Then labeled price = Rs.130.

SP = Rs.130- 10% of 130 = Rs.130-13 = Rs.117.

Gain = Rs.117 – Rs.100 = Rs.17.

Therefore, gain/profit percent = 17%. Ans.

Q.6. Profit earned by an organization is distributed among officers

and clerks in the ratio of 5:3 respectively. If the number of officers

is 45 and the number of clerks is 80 and the amount received by

each officer is Rs.25,000/-, what was the total amount of profit

earned?

(a)Rs.22 lakhs (b)Rs.18.25 lakhs (c)Rs.18 lakhs (d)Rs.23.25

lakhs (e) None of these

Ans: (c) Rs.18 lakhs.

Explanation Q.6.

The total amount distributed among 45 officers = Rs.45x25000 =

Rs.1125000.

Let the amount distributed to 80 clerks be ‘x’.

Then 1125000/x = 5/3, therefore, x = Rs.675000.

Therfore, the Total profit = Rs.1125000 + 675000 = Rs.18 lakhs.

Ans.

Q.7. The cost of 8 gel pens and 12 ball pens is Rs.82. What would

be the cost of 36 gel pens and 54 ball pens?

(a) Rs.366 (b)Rs.365 (c)Rs.369 (d)Rs.364 (e)None of these

Ans: (c) Rs.369.

Explanation Q.7.

From the given statement we have,

The cost of 4 gel pens + 6 ball pens = Rs.41.

Multiplying each terms by 9, we get

The cost of 36 gel pens + 54 ball pens = Rs.369. Ans.

Q.8. A merchant sells his two cars – one at 15% loss and another

at 12% profit. If the cost prices of the two cars are in the ratio of

1:2, what is his percent profit or loss?

(a)3% profit (b)2% loss (c)2% profit (d)1.2%loss (e)None of

these

Ans: (a)3% profit

Explanation Q.8.

Given that CPs are in the ratio 1:2

Therefore let the CPs be Rs.100 & Rs.200 respectively,

SP = 100-15% of 100 = Rs.86.

SP = 200 + 12% of 200 = Rs.224.

Total CP = Rs.300. Total SP = 85+224 = Rs.309.

Profit = Rs.309-300 = Rs.9.

Profit percent = 9x100/300 = 3% profit. Ans.

Q.9. The profit earned after selling an article for Rs.675 is twice the

loss incurred after selling the article for Rs.435. What is the cost

price of the article?

(a)Rs.450 (b)Rs.595 (c)Rs.400 (d)Rs.450 (e)None of these

Ans:(e) None of these

Explanation Q.9.

Let ‘x’ be the CP of the article.

i.e. Rs.675-x = 2(x-435)

675-x = 2x-870

675+870 = 3x, therefore, x=1545/3 =Rs.515. Ans.

Q.10. Mohan purchased 15 kgs of rice at the rate of Rs.26 per kg

and 8 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total

amount that he paid to the shopkeeper?

(a)Rs.598 (b)Rs.594 (c)Rs.596 (d)Rs. 595 (e) None of these

Ans:(a) Rs.598.

Explanation Q.10.

Price of 15 kgs of rice at Rs.26/kg = 15x26 = Rs.390

Price of 8 kgs of pulses at Rs.26/kg = 8x26 = Rs.208

Therefore, Total amount = Rs.390+Rs.208 = Rs.598.Ans.

Q.11. Suhas sold an item for Rs.7500 and incurred a loss of 25%.

At what price, should he have sold the item to have gained a profit

of 25%?

(a)Rs.13800 (b)Rs.12500 (c)Rs.11200 (d)Cannot be

determined (e) None of these

Ans: (b)Rs.12500.

Explanation Q.11.

255 loss means that Rs.7500 is 75% of CP.

Therefore, CP = 7500x100/75 = Rs.10000.

25% of Rs.10000 = Rs.2500.

To get a gain of 25%, the SP should be = Rs.10000+2500 =

Rs.12500. Ans.

Q.12. Maria earned a profit of 30% on selling an article for

Rs.6110. What was the cost price of the article?

(a)Rs.5725 (b)Rs.4080 (c)Rs.5250 (d)Rs.4400 (e)None of

these

Ans:(e)None of these

Explanation Q.12.

30% profit means, SP= 130% of CP

i.e. 130% of CP= Rs.6110. Therefore, CP = 6110x100/130 =

Rs.4700.Ans.

Q.13. If the cost of 15 kgs of rice is Rs.780/-, what is the cost of

112 kgs of rice?

(a)Rs.5824/- (b)Rs.5720/- (c)Rs.5616/- (d) Rs.5512/- (e) None

of these

Ans: (a) Rs.5824/-

Explanation Q.13.

Cost of 1 kg of rice = Rs.780/15 = Rs.52.

Therefore, cost of 112 kgs. = Rs.52x112 = Rs.5824/- Ans.

Q.14. Nilesh sold an item for Rs.6400/- and incurred a loss of 20%.

At what price should he have sold the item to have gained a profit

of 20%?

(a)Rs.7800 (b)Rs.9600 (c)Rs.8750 (d)Cannot be determined

(e)None of these

Ans: (b) Rs.9600/-

Explanation Q.14.

20% loss means SP = 80% of CP

:. CP = Rs.6400x100/80 = Rs.8000.

The SP for a gain of 20% = 8000+20% of 8000 = 8000+1600

=Rs9600.Ans.

Q.15. The owner of an electronic store charges his customer 14%

more than the cost price. If a customer paid Rs.1,65300 for an LED

TV, then what was the original price of the TV?

(a)Rs.140400 (b)Rs.150500 (c)Rs.145000 (d)Rs.135200 (e)No

ne of these

Ans: (c) Rs.145000

Explanation Q.15.

14% more than CP means SP = 114% = Rs.165300.

:. CP = 165300x100/140 = Rs.145000.Ans.

Q.16. The cost of 8 sharpeners and 12 pens is Rs.76/-. What is the

cost of 20 sharpeners and 30 pens?

(a)Rs.172 (b)Rs.186 (c)Rs.190 (d) Rs.195 (e)None of these

Ans: (c) Rs.190

Explanation Q.16.

From the above statement we have,

The cost of 4 sharpeners + 6 pens = Rs.38/-

Multiplying each term by 5, we get

20 sharpeners + 30 pens = Rs.38x5 =Rs.190 Ans.

Q.17. Sujit incurred a loss of 45% on selling an article for

Rs.3740/-. What was the cost price of the article?

(a)Rs.5725/- (b)Rs.5080/- (c)Rs.6250/- (d)Rs.6400/- (e)None

of these


Explanation Q.17.

45% loss means SP of Rs.3740/- is 55% of CP

:. CP = 3740x100/55 = Rs.6800/- Ans.

Q.18. The cost of 3 pens and 5 pencils is Rs.100. Also the cost of

one pen and one pencil is in the ratio of 5:1 respectively. What is

the cost of one dozen pens?


Ans: (c) Rs.300

Explanation Q.18.

Let the cost of one pen is ‘5x’ and pencil is ‘x’

3 X 5x + 5x = Rs.100

15x + 5x = Rs.100

X = 100/20 = 5

:. Cost of 1 pen = 5x = 5 x 5 = 25

:. Cost of 12 pens, i.e. (one dozen) = 25 x 12 = Rs.300. Ans.

Q.19. Mrudul invested an amount of Rs.29500/- in order to start a

business. Shalaka joined her 4 months later by investing an

amount of Rs.33500/-. If the business earned a profit of

Rs.120575/- at the end of two years, what was Mrudul’s share of

the profit?

(a)Rs.60725/- (b)Rs.61950/- (c)Rs.59250/- (d)Rs.58625/- (e)N

one of these

Ans: (b) Rs.61950/-

Explanation Q.19.

Ratio of Mrudul’s profit and Shalaka’s profit = 29500x24/33500x20

= 354 : 335

:. Mrudul’s share out of total profit = 120575x354/689 =

Rs.61950.Ans.

Q.20. The cost of five chairs and three tables is Rs.3110. Cost of

one chair is Rs.210 less than cost one table. What is the cost of

two tables and two chairs?

(a)Rs.1660/- (b) Rs.1860/- (c)Rs.2600/- (d)Cannot be

determined (e)None of these

Ans: (a) Rs.1660

Explanation Q.20.

Let ‘x’ be the cost of one chair

Then cost of 1 table = x + 210

Given 5x + 3(x+210) = Rs.3110

8x = 3110 – 630 = 2480

Cost of one chair (x) = 2480/8 = 310

Cost of one table = 310 + 210 = rs.520

:. Cost of 2 tables + 2 chairs = 2x520 + 2x310 = Rs.1660. Ans.

Q.21. Meena bought a watch with 25% discount on the selling

price. If the watch cost her Rs.1545. What is the original selling

price of the watch?




Explanation Q.21.

CP of Meenal is 75% of the Original SP.

:. Original SP = 1545x100/75 = Rs.2060.Ans.

Q.22. Shreyas bought an article and sold it for 125% of its cost

price. What was the cost price of the article, if Shreyas sold it for

Rs.30750/-?

(a)Rs.24600 (b)Rs.25640 (c)Rs.24250/- (d)Rs.23200 (e)None

of these

Ans: (a) Rs.24600/-

Explanation Q.22.

125% of CP = Rs.30750

:. CP = Rs.30750x100/125 = Rs.24600.Ans.

Q.23. If the cost of 8 erasers and 5 sharpeners is Rs.31/-, what will

be the cost of 24 erasers and 10 sharpeners?

(a)Rs.62/- (b)Rs.84/- (c)Rs.78/- (d)Cannot be


Ans: (c)Rs.78/-

Explanation Q.23.

By analysis, we get 8x2 = 16 (erasers)

5x3 = 15 (sharpeners)

:.1 Eraser costs Rs.2/- and 1 sharpener costs Rs.3/-

Hence, the cost of 24 erasers + 10 sharpeners = 24x2 + 10x3 =

48+30 = Rs.78/- Ans.

Q.24. When a shop keeper sold 2/3 of an item, he got the cost

price of the whole lot. What is the percentage of his profit?

(a)33 1/8% (b)66 2/3% (c)25% (d)50% (e)None of these

Ans: (d)50%

Explanation Q.24.

If 2/3 of the cost of item amount to CP

Then the ½ of the cost of item amounts to gain

:. Profit percentage = 1 x 100/2 = 50%.Ans.

Q.25. If a quarter kilogram costs Rs.60 then how much will cost for

150 grams?


Ans: (c)Rs.36

Explanation Q.25.

Given 250 gms costs Rs.60/-

Then 50 gm costs Rs.12

:.150gm costs 3 x12 =- Rs.36/-. Ans.

Q.26. Raju purchases 550 ml. of milk every day. If the cost of one

litter of milk is Rs.44. How much amount will he pay in 45 days?



Explanation Q.26.

500 ml cost Rs.22

50 ml cost Rs.2.20

:.550 ml cost Rs.24.20

For 44 days the cost of milk = 45 x 24.20

= Rs.1089/-Ans.

Q.27. If the cost of 6 erasers and 4 sharpeners is Rs.21/-. What

will be the cost of 24 erasers and 16 sharpeners?

(a)Rs.62/- (b)Rs.84/- (c)Rs.78/- (d)Cannot be


Ans: (b) Rs.84/-

Explanation Q.27.

6 erasers + 4 sharpeners = Rs.21.

Multiply by 4

We get,

24 erasers + 16 sharpeners = Rs.21x4 = Rs.84/-. Ans.

Q.28. The profit earned after selling a T-shirt for Rs.575/- is the

same as loss incurred after selling the same T-shirt for Rs.295/-.

What is the cost price of the T-shirt?

(a)Rs.425/- (b)Rs.445/- (c)Rs.430/- (d)Rs.450/- (e)None of

these


Explanations Q.28.

Let ‘x’ be the CP. Then 575-x = x-295

x = Rs.435 .Ans.

Q.29. A juice shop requires 35 kgs of sugar for seven days. How

many kgs. of sugar will it require for 50 days?

(a)250 kgs (b)150 kgs (c)350 kgs (d)300 kgs (e) None of

these

Ans: (a 250 kgs

Explanation Q.29.

The daily requirement of sugar = 35/7 = 5 kgs

:. 50 day’s requirement of sugar = 50 x 5 = 250 kgs. Ans.

Q.30. A man purchases some eggs for Rs.500. 15% of the eggs

break during transportation. What profit percentage should he take

on the remaining to get an overall profit of 20%?

(a)37.5 (b)30 (c)42 (d)41.17 (e)45

Ans: (d) 41.17

Explanation Q.30.

The eggs remaining = 85%

CP of 85% eggs = 85x500/100 = Rs.425

Overall profit = 500 + 20% of 500 -CP of 85% eggs.

Rs.600 – Rs.425 = Rs.175.

:. Overall profit percent = 175x100/425 = 41.17%. Ans.

Q.31. The owner of an electronics shop charges his customer 25%

more than the cost price. If a customer paid Rs.11,500 for a

television set, then what was the cost price of the television set?

(a)Rs.9200 (b)Rs.7200 (c)Rs.8600 (d)Rs.9800 (e)Rs.100

00

Ans: (a) Rs.9200

Explanation Q.31.

SP = Rs.11500

i.e. 125% of CP.

:. CP = 11500x100/125

= Rs.9200/- Ans.

Q.32. 25% of the total cost of a plot of area 280 sq.ft. is

Rs.132370. What is the rate per sq.ft of the plot?

(a)Rs.2091 (b)Rs.1981 (c)Rs.1991 (d)Rs.1891 (e)None

of these

Ans: (d) Rs.1891.

Explanations Q.32.

25% = ¼

:. Cost of total area = Rs.132370x4

Rate per sq.ft = 132370x4/280 = Rs.1891/- Ans.

Q.33. A banana costs Rs.2.25 and an apple costs Rs.3.00. What

will be the total cost of 4 dozen of apples?

(a)Rs.

216 (b)Rs.108 (c)Rs.189 (d)Rs.225 (e)Rs.162

Ans: (a) Rs.216

Explanations Q.33.

2.25 x 4 x 12 + 3 x 3 x 12 = Rs.216. Ans.

Q.34. The cost of 9 kgs. of sugar is Rs.279. What is the cost

of .153 kgs. of sugar?

(a)Rs.3.377 (b)Rs.4.473 (c)Rs.4.377 (d)Rs.4.743 (e)Rs.4.3

47

Ans: (d) Rs.4.743

Explanations Q.34.

The cost of .153 kgs. of sugar = 279x .153/9 = Rs.4.743 Ans.

Q.35. Ranjeet purchased an item for Rs.3500 and sold it at the

loss of 25%. From that amount he purchased another item and

sold it at the gain of 20%. What is his overall gain/loss?

(a)Loss of Rs.240 (b)Gain of Rs.120 (c)Loss of

Rs.350 (d)Neither gain nor loss (e)None of these

Ans: (c) Loss of Rs.350

Explanation Q(35):

1st SP = Rs.3500 – 25% of 3500 = Rs.3500 – 875 = Rs.2625.

(24% = ¼)

2nd SP = Rs.2625 + 20% of 2625 = Rs.2625 + 525 = Rs.3150.

:. Overall loss = Rs.3500 – Rs.3150 = Rs.350. Ans.

Q.36. An order was placed for supply of carpeat of breadth 3

metres the length of carpet was 1.44 times of breadth.

Subsequently the breadth and length were increased by 25 and 40

percent respectively. At the rate of Rs.45 per square metre, what

would be the increase in the cost of the carpet?

(a)Rs.1020.6 (b)Rs.398.8 (c)Rs.437.4 (d)Rs.583.2 (e)None

of these

Ans:(c) Rs.437.4

Explanation Q.36.

Initial area of the carpet = 3 x 3 x 1.44 = 12.96 sq.metres.

Increased area = 3 + 3 x 25/100 x 3 x 1.44/100 + 3 x 1.44 x

40/100

= 375 x 604.8/ 100 x 100 = 22.68 sq.metre

:. Increase in area = 22.68 – 12.96 = 9.72 sq.metre.

Cost of 9.72 sq.metre = 9.72 x 45 = Rs.437.40 Ans.

Q.37. Ajay spends 25 per cent of his salary on house rent, 5

percent on food, 15 percent travel, 10 percent on clothes and the

remaining amount of Rs.27000 is saved. What is Ajay’s income?

(a)Rs.60000 (b)Rs.80500 (c)Rs.60700 (d)Rs.70500 (e)Non

e of these

Ans: (a) Rs.60000

Explanataion Q.37:

Savings = Income – expenditure

100 – (25+5+15+10) = 45%

45% of income = Rs.27000

:. Income = 27000 x 100/45 = Rs. 60000. Ans.

Q.38. Rajeev purchased six calculators at the cost of Rs.690. How

many calculators can he purchase for Rs.920?

(a)8 (b)9 (c)11 (d)12 (e)None of these

Ans: (a) 8

Explanations Q.38:

Price of one calculator = Rs.690/6 = Rs.115

1. The No. of calculators which can be bought for Rs.920

= 920/115 = 8 Nos. Ans.

Q.39. The cost of 5kg of rice is equal to 17 kg of potatoes. Cost of 7 kg of rice

is Rs.476. What will be the cost of 3 kg of rice and 5 kg of

potatoes together?

(a)Rs.302 (b)Rs.312 (c)Rs.328 (d)Rs.304

(e)None of these

Ans: (d) Rs.304.

Explanation Q.39.

Price of 1 kg of rice = 476/7 = Rs.68.

Price of 5 kg of rice = Rs.68 x 5 = Rs.340.

Cost of 17 kg potatoes = Rs.340.

:. Cost of 1 kg potato = Rs.340/17 = Rs.20.

:. Cost of 3 kg rice + 5 kg potato = 3 x 68 + 5 x 20 = Rs.304. Ans.

Q.40. A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.25 per

metre of cloth. How much profit will the trder earn on 40 metres of

cloth?


ne of these

Ans: (c) Rs.1000.

Explanation Q.40.

SP of 1 metre cloth = 8200/40 = Rs.205.

CP of 1 metre cloth = Rs.205 – 25 = Rs.180

CP on 40 metres = 180 x 40 = Rs.7200

Profit earned on 40 metres cloth = Rs.8200 – Rs.7200 = Rs.1000.Ans.

Q.41. In a sale, a discount of 15% was available on all the articles. If Vinit

purchased an article for Rs.4284 in the sale. What was the actual

selling price of the article?


ne of these


Explanations Q.41.

i.e. Rs.4284 = 85% of SP

:. SP = 4284 x 100/84 = Rs.5040.Ans.

Q.42. The cost of 4 bags and 12 purses is Rs.1520, what is the cost of 10

bags and 30 purses?

(a)Rs.3600 (b)Rs.3500 (c)Rs.4000 (d)Rs.3900 (e)Non

e of these


Explanation Q.42.

Cost of 4 bags + 12 purses = Rs.1520

Multiply each term by 5/2, we get,

Cost of 10 bags + 30 purses = Rs.3800.Ans.

Q.43. If an amount of Rs.142136 is distributed equally amongst 163 persons,

how much amount would each person get?


these

Ans:(a) Rs.872

Explanation Q.43.

Amount each person would get = Rs.142136/163 = Rs.872.Ans.

Q.44. The owner of a book shop charges his customer 28% more than the

cost price. If a customer paid Rs.1408 for some books, then what

was the cost price of the books?

(a)Rs.1100 (b)Rs.1111 (c)Rs.1110 (d)Rs.1000 (e)None

of these

Ans:(a) Rs.1100.

Explanation Q.44.

SP is 128% of CP

:. CP = 1408 x 100/128 = Rs.1100.Ans.

Q.45. Rehaan purchased a bike for Rs.54000/-. He sold it at a loss of 8

percent. With that money he again purchased another bike and

sold it at a profit of 10 percent. What is his overall loss/profit?

(a) Loss of Rs.657/- (b) Profit of Rs. 567/- (c)Loss of Rs.648/- (d)Profit of

Rs.648/- (e)None of these

Ans:(d) Profit of Rs.648/-

Explanation Q.45.

1st SP = 2nd CP = Rs.54000 – 8% of Rs.54000.

= Rs.54000 – Rs.4320 = Rs.49680.

2nd SP = Rs.49680 + 10% of Rs.49680

= Rs.49680 + Rs.4968 = Rs.54648.

Overall Profit = Rs.54648 – Rs.54000 = Rs.648.Ans.

Q.46. The postal charges for booking a parcel of 250 gram are Rs.75. What

will be the postal charges for booking a parcel of 1.8 kilogram?


these

Ans: (b) Rs.540/-

Explanation Q.46.

Postal charges for 50 gm = Rs.75/5 = Rs.15

Postal charges for 100 gm = 15 x 2 = Rs.30

:. Charges for 1.8 kg. i.e.1800 gm = Rs.30 x 18 = Rs.540.Ans.

Q.47. Raju sold an item for Rs.6000 at a loss of 25%. At what cost would he

have purchased that item?


these

Ans: (c) Rs.8000/-

Explanation Q.47.

The SP = 75% of CP = Rs.6000

:. CP = 6000 x 100/75 = Rs.8000.Ans.

Q.48. The cost of 5 kg of apples is Rs.450. The cost of 12 dozen mangoes is

Rs.4320 and the cost of 4 kg of oranges is Rs.240. What is the

total cost of 8 kgs. of apples, 8 dozens of mangoes and 8 kgs. of

oranges?


these

Ans: (b) Rs.4080/-

Explanation Q.48.

Cost of 1 kg apple = Rs.450/5 = Rs.90.

Cost of 1 kg oranges = Rs.240/4 = Rs.60.

Cost of 12 dozen mangoes = Rs.4320.

:. Cost of 8 (i.e. 12 x 2/3) dozen mangoes = 4320 x 2/3 = Rs.2880.

:. The total cost of 8 kg apples + 8 dozen mangoes + 8 kg oranges = 8 x 90 +

2880 + 8 x 60 = 720 + 2880 + 480 = Rs.4080.Ans.

Q.49. Sam bought an article for Rs.4550 and sold it for Rs.5225. What was

the approximate percent profit that he gained from this

transaction?

(a)15 (b)115 (c)35 (d)5 (e)75

Ans: (a) 15.

Explanation Q.49.

The actual profit = Rs.675

Approximate profit percent = 675 x 100/4550 = 15% approx. Ans.

Q.50. Chamanlal purchased a mobile phone and a refrigerator for

Rs.15400 and Rs.19600 respectively. He sold mobile phone for a

profit of 15 percent and the refrigerator for a loss of 20 percent.

What is his overall loss/profit?

(a)Loss of Rs.1620 (b)Profit of Rs.1620 (c)Loss of Rs.1610 (d)No

gain no loss (e)None of these

Ans: (c) Loss of Rs.1610.

Explanation Q.50.

The total CP = Rs.15400 + Rs.19600 = Rs.35000

SP of mobile phone = 15400+ its 15% = 15400 + 2310 = Rs.17710.

SP of Fridge = 19600 – its 20% = 19600-3920 = Rs.15680.

Total SP = 17710 + 15680 = Rs.33390

:. Overall loss = 35000 – 33390 = Rs.1610.Ans.

Q.51. Sumit bought a car at a certain praice and sold it at Rs.852150 which

was 15% more than the original price. What was the price at which

Sumit bought the car?

(a)Rs.751000 (b)Rs.741000 (c)Rs.731000 (d) Cannot be


Ans: (b) Rs.741000.

Explanation Q.51

SP is 115% of CP

:. CP = 852150 x 100/115 = Rs.741000.Ans.

Q.52. The total cost of 15 pencils and 25 sharpeners is Rs.170. What will be

the cost of 57 pencils and 95 sharpeners?


Ans: (b) Rs.646.

Explanation Q.52.

Cost of 15 pencils + 25 sharpeners = Rs.170

Dividing each term by 5, we get,

Cost of 3 pencils + 5 sharpeners = Rs.34

Multiplying each term by 19, we get

Cost of 57 pencils + 95 sharpeners = 34 x 19 = Rs.646. Ans.

Q.53. Gina invests Rs.48000/- to start a business, 4 months later Shrayon

joins her by investing Rs.62000/- and another two months later

Deepika joins them both by investing Rs.80000/-. At the end of one

year the business earns a profit of Rs.20661/-. What is Deepika’s

share in the profit?


these

Ans: (e) Rs.6390/-

Explanation Q.53.

Gina : Shrayon :

Deepika

Ratio of investments & Profits = 48000 x 12 : 62000 x 8 :

80000 x 6

36 : 31 :

30

Sum of Ratio =97

:. Share of Deepika = 20661 x 30/97 = Rs.6390. Ans.

Q.54. The owner of a furniture shop charges his customers 155 more than the

cost price. If a customer paid Rs.9039/- for a sofa set, then what is

the cost price of the sofa set?


these

Ans: (b) Rs.7860/-

Explanation Q.54.

SP = 115% of CP = Rs.9039/-

:. CP = 9039 x 100/115 = Rs.7860/- Ans.

Q.55. The cost of 3 chairs and 10 tables is Rs.9856. What is the cost of 6

chairs and 20 tables?


these

Ans: (e) none of these

Explanation Q.55.

Cost of 3 chairs + 10 tables = Rs.9856

Multiplying each term by ‘2’, we get

Cost of 6 chairs + 20 tables = Rs.9856 x 2 = Rs.19712.Ans.

Q.56. A gold bracelet is sold for Rs.13425 at a loss of 25%. What is the cost

price of the bracelet?


these

Ans: (b) Rs.17900/-

Explanation Q.56.

SP i.e. Rs.13425 is 75% of CP

:. CP = 13425 x 100/75 = Rs.17900/-Ans.

Q.57. Meena bought two fans for Rs.1200 each. She sold one at a loss of 55

and the other at a profit of 10%. What will be the total profit percent

or loss percent?

(a) 1.2% loss (b) 1.2% profit (c)2.5% profit (d)2.5% loss (e)None

of these

Ans: (c) 2.5% profit

Explanation Q.57.

SP = 1200 – (5% of it) = 1200 – 60 = Rs.1140.

SP = 1200 – (10% of it) = 1200 + 120 = Rs.1320.

Total SP = Rs.1140 + Rs.1320 = Rs.2460.

Total CP = 2400

Profit = 2460 – 2400 = Rs.60.

Profit percent = 60 x 100/2400 = 60/24 = 2.5% Ans.

Q.58. Mr. Baljit purchased 100 pieces of an article at the rate of Rs.480 per

piece. He then listed the price so as to gain a profit of 25%. While

selling the articles he offered a discount of 5%. What is the

percentage of profit earned in the deal?

(a) 20.00 (b) 15.00 (c)15.79 (d)18.75 (e)None of these

Ans: (d) 18.75

Explanation Q.58.

CP = Rs.480

:. Marked SP = Rs.480 + 25 x 480/100 = Rs.480 + 120 = Rs.600.

Actual SP = Rs.600 – 30 = Rs.570.

Profit = 570 – 480 = Rs.90.

Percentage profit = 90 x 100/480 = 18.75%. Ans.

Q.59. What would be the cost of building a fence around a cicular plot of area

98.56 sq.ft., if the cost of fencing per foot is Rs.614?

(a)Rs.60515.84 (b)Rs.30257.92 (c)Rs.21612.80 (d)Rs.43324.60 (e)N

one of these

Ans: (c) Rs.21612.80.

Explanation Q.59.

Area = 98.56 sq.ft

:. r² = 98.56 x 7/22 = 31.36

:. r = 5.6 ft.

Circumference = 2 x 22 x 5.6/7 = 35.2 ft.

Cost of fencing = 35.2 x 614 = Rs.21612.80. Ans.

Q.60. The cost of 36 Microwaves and 12 Cookers is Rs.84126. What is the

cost of 6 microwaves and 2 Cookers?

(a)Rs.14021 (b)Rs.15291 (c)Rs.16131 (d) Cannot be


Ans: (a) Rs.14021

Explanation Q.60.

Cost of 36 microwaves + 12 cookers = Rs.84126.

Dividing each term by 6, we get

6 microwaves + 2 colours = Rs.14021.Ans.

Q.61. Arun ordered 15 chapatis, 4 plates of rice, 6 plates of mixed vegetables

and 5 ice-cream cups. The cost of one chapatti is Rs.5, one plate

of rice is Rs.50, one plate of mixed vegetables is Rs.75 and one

ice-cream cup is Rs.20. How much amount did Arun pay to the

cashier?


Ans: (c)Rs.825

Explanation Q.61.

Total amount = 15 x 5 + 4 x 50 + 6 x 75 + 5 x 20

=75 + 200 + 450 + 100

= Rs.825.Ans.

Q.62. The cost of 15 kgs. of Rice is Rs.675. The cost of 12 kgs. of Wheat is

Rs.432 and the cost of 8 kgs. of Corn is Rs.224. What is the total

cost of 28 kgs. of Rice, 23 kgs. of Wheat and 35 kgs. of Corn?


Ans: (c) Rs.3068

Explanation Q.62.

Cost of 1 kg Rice = Rs.45/-

Cost of 1 kg Wheat = Rs.36/-

Cost of 1 kg corn = Rs.28/-

:. Cost of 28 kg Rice + 23 kg Wheat + 35 kg corn = 28 x 45 + 23 x 36 + 35 x 28

= 1260 + 828 + 980 = Rs.3068.Ans.

Q.63. If total cost of four tube lights and three bulbs is Rs.260 and the ratio

between the cost of a tube light and a bulb is 5:2 respectively, what

is the total cost of one tube light and six bulbs?


Ans: (d) Rs.170

Explanation Q.63.

Let the cost of 1 tube light = 5x and that 1 bulb = 2x.

Given 4 X 5x + 3 X 2x = Rs.260

26x = Rs.260. :.x = 10.

:. Cost of 1 tube light = Rs.50.

Cost of 1 bulb = Rs.20

:. 1 tube light + 6 bulbs = 50 + 6 x 20= Rs.170.Ans.

Q.64. The cost price of an item is two-third of its selling price. What is the

gain/loss percent on that item?

(a) 45 (b) 50 (c)35 (d)54 (e)None of these

Ans: (b) 50

Explanation Q.64.

SP = x

CP = 2x/3

Profit = x-2x/3 = x/3

Profit percent = x/3 / 2x X 100/3 = x/3 X 3/2x X 100

=100/2 = 50%. Ans.

Q.65. Naresh purchased a TV set for Rs.11250 after getting discount of 10%

on the labelled price. He spent Rs.150 on transport and Rs.800 on

installation. At what price should it be sold so that the profit earned

would be 15% if no discount was offered?

(a)Rs.12937.50 (b)Rs.14030 (c)Rs.13450 (d)Rs.15467.50 (e)None of

these

Ans: (b) Rs.14030.

Explanation Q.65.

The CP = Rs.11250 + 800 + 150 = Rs.12200

15% of 12200 = Rs.1830

For getting 15% gain the SP should be = Rs.12200 + 1830 Rs.14030.Ans.

Q.66. A person buys bananas 75 paise per piece and sells them at Rs.15 per

dozen. What is the percentage profit?

(a)6% (b)33 1/3% (c)66 2/3% (d)25% (e)None of these

Ans: (c) 66 2/3

Explanation Q.66.

Cost price of 1 dozen bananas = .75 x 12 =Rs.9

SP of the same = Rs.15.

Profit = Rs.15 – 9 =Rs.6.

:.profit percentage = 6 x 100/9 = 200/3 = 66 2/3%.Ans.

Q.67. A person bought an old TV at Rs.4000 and spent 20% of its cost on

repairing. If the person wants to make a net profit of Rs.520, to

what percentage should he add, in the purchase price while

determining the selling price?

(a)24% (b)28% (c)30% (d)33% (e)None of these

Ans: (d) 33%

Explanation Q.67.

The expense on repairing = 20% of 4000 = Rs.800

Profit expected = Rs.520, 800 + 520 = Rs.1320.

:.To get Rs.520 as profit SP = 4000 + 1320 = Rs.5320.

Rs.1320 = 33% of Rs.4000. :. 33% .ans.

Q.68. If the cost of 10 tables and 15 chairs is Rs.20000 what will be the cost of

tables and 21 chairs?


Ans: (b) Rs.28000.

Explanation Q.68.

The cost of 10 tables + 15 chairs = Rs.20000

Multiplying each term by 7/5, we get

Cost of 10 x 7/5 tables + 15 x 7/5 chairs = Rs.20000 x 7/5

= 14 tables + 21 chairs = Rs.28000.Ans.

Q.69. A person sells an item to another person at a profit of 40% and the

second person sells it to a third person at a loss of 15%. What is

the resultant profit or loss?

(a)25% (b)20% (c)27 1/2% (d)19% (e)17.5%

Ans: (e)19%

Explanation Q.69.

Let the CP of the item = Rs.100.

1st person’s SP = Rs.140

2nd person’s SP = Rs.140 – 21 = Rs.119.

Resultant profit = Rs.119 – 100 = Rs.19.

Resultant profit percent = 19 x 100/100 = 19%.Ans.

Q.70. Seema sold a mobile phone at the cost of Rs.1950 at a loss of 25%. At

what cost will she have to sell it to get a profit of 30%?


Ans: (d) Rs.3,380.

Explanation Q.70.

Here, the SP is 75% of CP.

CP = 1950 x 100/75 = Rs.2600.

To get a profit of 30% the SP should be = 2600 + 30% of 2600= Rs.3380.Ans.

Q.71. ‘A’ sells an item to “B” at a profit of 40% and “B” sells it to “C” at a profit

of 50%. Find the resultant profit percent.?


Ans: (c) 110%.

Explanation Q.71.

Let Rs.100 be the CP

A’s SP = Rs.140

B’s SP = Rs.210

Resultant profit = 210 – 100 =110

Resultant profit percent = 110 x 100/100 = 110%.Ans.

Q.72. In a sale a discount of 15% was available on all the articles. If Vinit

purchased an article for Rs.4284 in the sale, what was the actual

selling price of the article?


Ans: (e) none of these

Explanation Q.72.

Vinit’s purchase price = 85% of Actual SP

:. Actual SP = 4284x100/85 = Rs.5040.Ans.

Q.73. The cost of 4 bags and 12 purses is Rs.1520. What is the cost of 10

bags and 30 purses?



Explanation Q.73.

The cost of 4 bags + 12 purses = Rs.1520


Cost of 10 bags = 30 purses = Rs.3800.Ans.

Q.74. A shopkeeper sells an item on a discount on 20% of printed price and

makes 25% profit. If the printed price of the item is Rs.4250 then

what is the cost price?


Ans: (b) Rs.2720

Explanation Q. 74.

Assuming CP = ‘x’

SP = x + x . 25/100 = 5x/4 = 80% of printed price. i.e. Rs.4250.

i.e. 5x/4 = Rs.3400.

:. x = 3400 x 4/5 = Rs.2720. Ans.

Q.75. A shopkeeper purchased 175 items at Rs.35 per item. He spent Rs.875

on packing and Rs.1000 on transport. He sold the items at the rate

of Rs.60 per item. What is the percentage profit earned?

(a)25% (b)27.5% (c)30% (d)31.5% (e)None of these


Explanation Q.75.

Total CP = 175 x 35 + 875 + 1000 = Rs.8000.

Total SP = 60 x 175 =Rs.10500.

Profit = Rs.10500 – Rs.8000 = Rs.2500.

Profit percent = 2500 x 100/8000 = 31.25% Ans.

Q.76. Ramesh purchased 64 items at Rs.450 per item. He invested Rs.1600 in

transportation of these items. What should be the selling price of

each item if he has to gain 20% as profit?

(a)Rs.520 (b)Rs.540 (c)Rs.560 (d)Rs.570 (e)Rs.580

Ans: (d) Rs.570.

Explanation Q.76.

Total CP = 64 x 450 + 1600 = Rs.30400.

Total SP = 30400 + 20% of 30400.

= 30400 + 6080 = Rs.36480.

:. SP of each item = Rs.36480/64 = Rs.570.Ans.

Q.77. A person X sold an Item to Y at 40% loss, then Y sold it to third person Z

at 40% profit and finally Z sold it back to X at 40% profit. In this

whole process what is the percentage loss or profit of X?

(a) No loss, no gain (b)40% profit (c) 40% loss (d)80% loss (e)None of

these.

Ans: (e)None of these

Explanation Q.77.

Let the CP = Rs.100. for X.

Y’s CP = Rs.60.

Z’s CP = Rs.84.

Finally, X’s CP = Rs.117.6.

:. X’s loss = 117.6 – 60 = Rs.57.6

:. X’s loss percent = 57.6%.Ans.

Q.79. ¼ of a commodity is sold at 18% profit, 1/5 is sold at a profit of 15% and

the rest at 35%. If a total profit of Rs.321 is earned, then what is

the value of the commodity?


Ans: (d) Rs.1200

Explanation Q.79.

i.e. x/4 X 18/100 + x/5 X 15/100 + [x- (x/4 + x/5) X 35/100] = Rs.321.

18x/400 + 3x/100 + 77x/400 = Rs.321.

= 18x + 12x + 77x/400 = Rs.321.

107x = 400 x 321

x = 400 x 321/107 = Rs.1200.Ans.

Q.80. Sunitha bought a watch at 40% discount on the selling price. If the

watch costs her Rs.3414, what is the original selling price of the

watch?


Ans: (c) Rs.5690.

Explanation Q.80.

Let the original SP = ‘x’

Now SP = x – x.40/100 = 60x/100

Given 60x/100 = Rs.3414

:. x = 3414 x 100/60 = Rs.5690.Ans.

Q.81. The cost of 21 books and 38 pens is Rs.1855. What is the cost of 18

books and 24 pens?


Ans: (a) Rs.1590.

Explanation Q.81.

The cost of 21 books + 28 pens = Rs.1855

Multiply each term by 6/7, we get

The cost of 21 x 6/7 books + 28 x 6/7 pens = Rs.1855 x 6/7

:. 18 books + 24pens = Rs.1590. Ans.

Q.82. On selling an item for Rs.90 a man gains 20%. In order to gain 48%,

what will be the increase in its selling praice?

(a)Rs.16 (b)Rs.18 (c)Rs.21 (d)Rs.24 (e

)27

Ans: (c) Rs.21

Explanation Q.82.

CP = 90 x 100/120 = Rs.75

New SP = 75 + 75 x 48/100 = Rs.111.

Increase in SP = Rs.111 – Rs.90 = Rs.21.Ans.

Q.83. A shopkeeper wants to to earn 12% profit on an item after giving 20%

discount to the customer. By what percentage should he increase

his marked price to arrive at the label price?

(a)24% (b)32% (c)40% (d)16% (e)44%

Ans: (c) 40%

Explanation Q.83.

Let x = marked price and the CP be Rs.100.

Initial SP = Rs.112.

To give 20% discount = x – 20x/100 = Rs.112.

= x – x/5 = Rs.112, 4x = 112 x 5

x = Rs.140.

Here marked profit = Rs.40.

Percent profit = 40%. Ans.

Q.84. The owner of a furniture shop charges his customers 155 more than the

cost price. If a customer paid Rs.9039 for a sofa set, then what is

the cost price of the sofa set?


Ans: (b) Rs.7860.

Explanation Q.84.

i.e. SP is 115% of CP

:. CP = 9039 x 100/115 = Rs.7860.Ans.

Q.85. 20% of the total cost of a plot with an area of 395 sq.ft. is Rs.78210.

What is the rate of per sq.ft. of the plot?



Explanation Q.85.

Total cost of the plot = 78210 x 100/20 = Rs.78210 x 5

Rate per sq.ft. = 78210 x 5/395 = Rs.990.Ans.

Q.86. A shopkeeper gave an additional 40% discount on the reduced price

after giving 25% standard concession on that item, if a perason

bought that item faaor Rs.1260, what is the original price of the

item?


Ans: (b) Rs.2800.

Explanation Q.86.

Let the original parice be ‘x’

The price sfter 1st concession of 25% = x – 25x/100 = x – x/4 = 3x/4

The Price after additional discount 40% = 3x/4 – 3x/4 X 40/100 = 30x – 12x/40

= 9x/20, i.e. 9x/20 = Rs.1260, :. x = 1260 x 20 /9 = Rs.2800. Ans.

Q.87. A shopkeeper sold an item at Rs.1008 after giving a discount of 25% on

the labeled price. Had he not given the discount he would have

earned a profit of 40% on the cost price. What is the cost price of

the item?


Ans: (d) Rs.960

Explanation Q.87.

Labelled price = 1008 x 100/75 = Rs.1344 = 140% of CP

:. CP = 1344 x 100/140 = Rs.960.Ans.

Q.88. 20 apples were bought for a rupee. Approximately how many apples

must be sold for a rupee to gain a profit of 30%?

(a) 12 (b)10 (c) 18 (d)20 (e)15

Ans: (e) 15

Explanation Q.88.

Given 20 apples cost 100 paise.

:. 1 apple’s cost = 5 paisa.

For a getting a profit of 30% , the SP per apple should be equal to 6.5 paise.

:. For 1 Rupee, the No. of apples to be sold = 100/6.5 = 15 nos. approximately.

Ans.

Q.89. A boy purchases 20 pens for Rs.15 and sells 15 pens for Rs.20. How

much profit does he get?

(a)33 1/3% (b)21% (c)47 2/3% (d)66 2/3% (e) None of these


Explanation Q.89.

Purchase price of 1 pen = 15/20 = Rs.3/4.

SP of 1 en = 20/15 =Rs.4/3.

Profit = 4/3 – ¾ = Rs.7/12

In 1 pen profit percent = 7/12 /3/4 x 100 = 77 7/9%.Ans.

Q.90. The cost of 17 kg of rice is Rs.374. The cost of 22 kg of atta is Rs.352

and the cost of 14 kg of pulse is Rs.770. What will be the total cost

of 26 kg of rice, 30 kg of atta and 18 kg of pulse?


Ans: (d) Rs.2042

Explaantiion Q.90.

The price of 1 kg Rice = Rs.22

The price of 1 kg Atta = Rs.16

The price of 1 kg Pulse = Rs.55

:. The total price of 26 kg Rice + 30 kg Atta + 18 kg Pulse = 26 x 22 + 30 x 16

+ 18 x 55

= 572 + 480 + 990 = Rs.2042. Ans.

Q.91. On selling an item for Rs.1056 a person gain 20%. In order to gain 45%

what be the increase in its selling price?

(a)Rs.180 (b)Rs. 220 (c)Rs.310 (d)Rs.360 (e)None of these

Ans: (b) Rs.220/-

Explanation Q.91.

CP = Rs.1056 x 100/120 = Rs.880.

For 45% profit SP = 880 x 145/100 = Rs.1276.

:. Increase in SP = Rs.1276 – 1056 = Rs.1276 – 1056 = Rs.220/- Ans.

Q.92. A shopkeeper sold a TV at 18% discount on print rate. If the customer

paid Rs.8856 for the TV and the printed price is 20% more than its

cost price, what is the cost price of the TV?


Ans: (b) Rs.9000/-

Explanation Q.92.

The printed price = 8856 x 100/82 = Rs.10800.

Printed price 20% more than CP.

:. CP = 10800 x 100/120 = Rs.9000.Ans.

Q.93. An electrician bought an old fan for Rs.420 and spent 25% of it on

repairing. If he wants to make a profit of Rs.126, what percentage

of the cost price should be added to it?

(a)35% (b)45% (c)55% (d)60% (e) 66%

Ans: (c) 55%

Explanation Q.93.

CP + Repairing + Profit = 420 + 105 + 126 = Rs.651.

Increase will be = Rs.651 – Rs.420 = Rs.231

:. Percentage increase to be added to CP = 231 x 100/420 = 55%.Ans.

Q.94. A plot of 5200 sq.ft. is available at the rate of Rs.48 per sq.ft. If 17% of

the total cost of the plot is to be paid for booking the plot, what is

the booking cost?

(a)Rs.42432 (b)Rs. 42436 (c)Rs.42518 (d)Rs.42560 (e)Rs.43200

Ans: (a) Rs.42432

Explanation Q.94.

Total cost of the plot = Rs.48 x 5200 = Rs.249600

Booking cost = 17% of Rs.249600 (i.e. 17% = 10%

+ 5% +25)

= Rs.42432.Ans.

Q.95. The cost of 24 pens and 40 copies is Rs.520. What will be the cost of 42

pens and 70 copies?


Ans: (b) Rs.910.

Explanation Q.95.

The cost of 24 pens + 40 copies = Rs.520.

Multiplying each aterm by 7/4, we get

Cost of 42 pens + 70 copies = Rs.910.Ans.

Q.96. The profit earned by selling an item for Rs.820 is equal to the loss

incurred when the same item is sold for Rs.660. What should be

the sale price of the item make 30% profit?


Ans: (a) Rs.962

Explanation Q.96.

Let ‘x’ be the CP

Given 820 – x = x – 660

:.2x = 1480, x = Rs.740

Profit 30% = 740 x 30/100 = Rs.222.

Such an SP = 740 + 222 = Rs.962.Ans.

Q.97. A man sold a wrist watch for Rs.2400 at a loss of twenty five per cent. At

what rate should he have sold the wrist watch to earn a profit of

twenty five percent?


Ans: (b) Rs.4000.

Explanation Q.97.

CP = 2400 x 100/75 =Rs.3200

25% of CP = Rs.800

To get a profit of 25% the SP should be = Rs.3200 – 800 =Rs.4000.Ans.

Q.98. The cost of 14 bats and 35 balls is Rs.1190. What will be the cost of 16

bats and 40 balls?


Ans: (c) Rs.1360.

Explanation Q.98.

The cost of 14 bats + 35 balls = Rs.1190.

Multiplying each term by 8/7. we get

16 bats + 40 balls =Rs.1360.Ans.

Q.99. Cost of 18 shirts and 45 trousers is Rs.68,400. What is the cost of 10

shirts and 25 trousers?

(a)Rs.38000 (b)Rs. 36000 (c)Rs.34200 (d)Rs.36200 (e)None of

these

Ans: (a) Rs.38000.

Explanation Q.99.

The cost of 18 shirts + 45 trousers = Rs.68400


The cost of 10 shirts + 25 trousers = Rs.38000.Ans.

Q.100. A person bought an old TV at Rs.7200 and spent 15% of it on

repairing. If he wants to make a profit of Rs.648 then what

percentage should be added to purchase price?

(a)15% (b)16% (c)20% (d)24% (e) 25%

Ans:(d) 24%

Explanation Q.100.

CP = Rs.7200

CP + repair cost + profit expected = Rs.7200 + 1080 +648 = Rs.8928.

The amount to be added to CP = Rs.8928 – Rs.7200 = Rs.1728

The percentage of amount to be added to CP = 1728 x 100/7200 = 24%.Ans.

Q. 101. Prof. Chatterjee bought a car and got 15% of its orinal price as

dealer’s discount. He then sold it at 205 profit on his purchase

price. What percentage profit did he get on the original price?

(a) 2% (b)12% (c) 5% (d)17%

Ans: (a) 2%

Explanation Q.101.

Let the original CP of Car = Rs.100;

Chatterjee’s CP = Rs.85.

20% of Rs.85 = Rs.17

SP (Chatterjee’s selling price) = Rs.102.

:. Chatterjee’s profit = Rs.2.

So, profit percent = 2%. Ans.

Q. 102. The cost of 18 pens and 12 scissors is 756/-. What is the cost

of 6 pens and 4 scissors?

252 (b) 189 (c) 378 (d) Cannot be determined

(e) None of these

Ans: (a) 252

Explanation Q.102.

The cost of 18 pens + 12 scissors = 756.

Dividing each terms by 3, we get,

The cost of 6 pens = 4 scissors = 252.Ans.

Q. 103. A man sold a table at a loss of 10%. Had he been able to sell it at a

gain of 10%, it would have fetched Rs. 35 more than it did. What

was the cost price?

150 (b) 165 (c) 170 (d)

175 (e) None of these

Ans: (d) 175.

Explanation Q.103.

Let the CP be ‘x’; then 110x/100 - 90x/100 = 35

i.e. 20x/100 = 35; x = 3500/20 = 175. Ans.

Q. 104. Harkamal purchased 8kg of grapes at the rate of 70 per kg and

9 kg of mangoes at the rate of 55 per kg. How much

amount did he pay to the shopkeeper?

(a) 1400 (b) 1505 (c) 1040 (d)


Ans: (d) 1055.

Explanation Q. 104.

Cost of 8 kg grapes = 70 × 8 = 560.

Cost of 9 kg of mangoes = 55 × 9 = 490.

Total cost he has to pay = 560 + 490 = 1055.Ans.

Q. 105. Suresh started a business, investing Rs.18000. After 3 months and 4

months respectively, Rohan and Sudhir joined him with capitals

of 12000 and 9000. At the end of the year the total

profit was Rs.3982. What is the difference between Rohan’s and

Sudhir’s share in the profit?

(a) 354 (b) 370 (c) 362 (d)


Ans: (c) 362

Explanation Q.105.

Suresh : Rohan :

Sudhir

Ratio of their investments = 18000 × 12 : 12000 × 9 :

9000 × 8

= 6 : 3: 2

The difference between Rohan’s and Sudhir’s share = 1 share

:.i.e. = Rs. 3982 × 1/11 = Rs.362.Ans.

Q.106. Narendra started a business, investing 30000. Six months later,

Chandan joined him with 15000. If they make a profit

of 10000 at the end of the year, what should be the share of

Narendra?

(a) 6000 (b) 8000 (c) 7200 (d)


Ans: (b) 8000.

Explanation Q. 106.

The ratio of their investments = 30000 × 12 : 15000 × 6 = 4 : 1.

:. Narendra’s share on profit of Rs.10000 = 10000 × 4/5 = Rs.8000.Ans.

Q. 107. By selling a book for 270, 20% profit was earned. What is the

cost price of the book?

(a) 216 (b) 226 (c) 254 (d)


Ans:(d) 225

Explanation Q. 107.

SP = 120% of CP; :. CP = 270 × 100/120 = 225.Ans.

Q.108. A shopkeeper sold some articles @ 35 per article and earned a

profit of 40%. At what price each article should have been sold so

that 60% profit was earned?

(a) 45 (b) 42 (c) 39 (d) 40 (e)

None of these

Ans: (d) 40

Explanation Q.108.

SP = 140% of CP; :. CP = 35 × 100/140 = 25

Then, 60% of CP = 2.5 × 6 = 15

To set a profit of 60% the SP = 25 + 15 = 40. Ans.

Q. 109. The price of two tables and three chairs is Rs.5600. What will be the

price of six tables and nine chairs?

16800 (b) 11200 (c) 22400 (d) Data

inadequate (e) None of these

Ans: (a) 16800/-

Explanation Q. 109.

The cost of two tables + three chairs = 5600.

Multiply each term by 3, we get,

Cost of 6 table + 9 chairs = 16800.Ans.

Q. 110. Amit purchased a book with a 10% discount on the labeled price. How

much did he pay if the labelled price was 600?

480 (b) 360 (c) 540 (d)

340 (c) None of these

Ans: (c) 540

Explanation Q. 110.

Selling Price = 600 – 10% of 600 = 600 – 60 = 540. Ans.

Q.111. Kaavya sold an item for 4080 and incurred a loss of 20%. At

what price should she have sold the item to have gained a profit of

20%?

6120 (b) 5890 (c) 5100 (d) Cannot be


Ans: (a) 6120

Explanation Q. 111.

Cost Price = 4080 × 100 /80 ( Because SP is 80% CP)

= Rs. 5100.

For 20% profit = Rs. 5100 + 1020 = 6120. Ans.

Q. 112. The owner of an electronic store charges his customer 9% more than

the cost price. If a customer paid 1,26440 for an LED T.V.,

then what was the original price of the T.V.?

116000 (b) 114700 (c) 117500 (d)

118200 (e)None of these

Ans: (a) 116000.

Explanation Q. 112.

Selling Price = 109% of CP;

:. CP = 126440 × 100/109 = 116000.Ans.

Q. 113. The profit earned by selling on article for 900 is double the loss

incurred when the same article is sold for 450. At what price

should the article be sold to make 25% profit?

750 (b) 800 (c) 600 (d) Data

inadequate (e) none of these

Ans: (a) 750

Explanation Q.113.

Let ‘x’ be the CP of the article;

Then 900 – x = 2(x – 450); :. x= 600.

25% of 600 = 150

:. New SP = 600 + 150 = 750.Ans.

Q. 114. A shopkeeper bought an article for Rs.319.60. Approximately at what

price should he sell the article to make 25 per cent profit?

(a) 600 (b) 500 (c) 450 (d)

550 (e) 400

Ans: (e) 400.

Explanation Q. 114.

25% of CP should be added to the CP to get a profit of 25%.

25% of 319.60 = 319.60/4 = 79.9.

:. SP = 319.60 + 79.9 = 399.50. = Rs.400. approx.Ans.

Q.115. The profit earned by selling an article for 752 is 1.2 times the

loss incurred when the same article is sold for 400. What is

the cost price of the article?

(a) 520 (b) 580 (c) 560 (d) Data

inadequate (e) None of these

Ans: (c) 560.

Explanation Q. 115.

Let ‘x’ be the CP.

Then 752 – x = 1.2(x-400); = 752 – x = 1.2x -480

» 1232 = 2.2x; :. x=1232/2.2 = 560. Ans.

Q. 116. Shelly could get equal number of 25 per piece, 40 per

piece and 65 per piece bangles. She spent a total

of 1560 for all the bangles. How many of each type did she

buy?

(a) 12 (b) 14 (c) 16 (d) Cannot be determined (e) None of

these

Ans: (a) 12

Explanation Q. 116.

Let ‘x’ be the No. of bangles in each type which is equal for all the types.

:. 25x + 40x + 65x = 1560

130x = 1560 and x= 12. Ans.

Q. 117. A television is brought for 13600 and sold at 15980.

What is the gain per cent?

(a) 12.5% (b) 15% (c) 17.5% (d) 18.5% (e) 22.5%

Ans: (c) 17.5%

Explanation Q. 117.

CP = 13600; SP = 15980

Profit/ gain = 15980 – 13600 = 2380.

Gain percent = 2380 × 100/13600 = 17.5%.Ans.

Q. 118. A person sold 3/5 of a consignment at a profit of 35% and the rest at a

loss of 25%. If there was an overall profit of 715, what is the

actual cost of the consignment?

(a) 6000 (b) 6300 (c) 6500 (d)

7000 (5) 7500

Ans : (c) 6500.

Explanation Q. 118.

Let the total CP = ‘x’

Then first SP = 3x/5 × 135/100 = 81x/100

And the second SP = 2x/5 × 75/100 = 30x/100

:. Total SP = 81x/100 + 3x/100 = 111x/100.

SP – CP = profit, So, 111x/100 – x = 715

i.e 11x = 71500 and so, x = 71500/11 = 6500.Ans.

Q. 119. A shopkeeper bought an item at 10% discount on its original price. He

sold it at 35% increase on the original price. What percentage

profit did he get?

(a) 25% (b) 45% (c) 50% (d) 22 ½% (e) 42 ½%

Ans: (c) 50%

Explanation Q. 119.

Let the original price be 100.

Then his CP = 90. And he sold it at 135. Then, his profit

= 135 – 90 = 45.

His percentage profit on the sale = 45 × 100/90 = 50%.Ans.

Q. 120. The profit earned after selling an article for 350 is the same as

half of the loss incurred after selling the article for 260.

What is the cost price of the article?

245 (b) 292 (c) 345 (d)



Explanation Q. 120.

Let the profit = x.

Then, 350 – x = 260 + 2x;

x= 30; Cost Price = 350 – 30 = Rs.320. Ans.

Q. 121. Ram sold an article for 3480 and earned a profit of 16%. At

what price should it have been sold so as to earn a profit of

32.5%?

3315 (b) 3572 (c) 4015 (d)

3975 (e) 5675

Ans: (d) 3975.

Explanation Q. 121.

SP = 116 % of CP = 3480 :. CP = 3480 × 100/116 = 3000/-

32.5% of 3000 = 975

:. The expected SP = 3000 + 975 = 3975. Ans.

Q. 122. A man leaves Rs.8600 to be divided among 5 sons, 4 daughters and

2 nephews. If each daughter receives four times as much as each

nephew and each son receives five times as much as each

nephew, how much does each daughter receive?

100 (b) 600 (c) 800 (d)


Ans:(c) 800.

Explanation Q. 122.

5 sons + 4 daughters + 2 nephews = 8600.

One daughter = 4 nephews and one son = 5 nephews

Then 4 daughters = 16 nephews and 5 sons = 25 nephews

So, it becomes, 25 nephews + 16 nephews + 2nephews = 8600 ; i.e. 43

nephews =8600

:. One nephew = 8600/43 = 200 :. Each daughter gets 4 × 200 =

800.Ans.

Q. 123. The selling price of 5 articles is the same as the cost price of 3 articles.

The gain or loss is

(a) 20% gain (b) 25% gain (c) 33.33% loss (d) 40% loss (e) None

of these

Ans: (d) 40% loss.

Explanation Q. 123.

There is a loss. Percentage of loss = 5 – 3/5 × 100 = 40%. Ans.

Q. 124. By selling an article for 480 a person lost 20%. For what

should he sell it to make a profit of 20%?

(a) 800 (b) 760 (c) 720 (d)

Rs.680 (e) None of these

Ans: (c) 720

Explanation Q. 124.

Here SP = 80% of CP = 480

:. CP = 480 × 100/80 = 600.

For a profit of 20 % it should be = 600 × 120/100 = 720.Ans.

Q. 125. A, B and C are partners of a company. During a particular year A

received one-third of the profit, B received one-fourth of the profit

and C received the remaining Rs.5000. How much did A receive?

(a) 5000 (b) 4000 (c) 3000 (d)


Ans: (b) 4000.

Explanation Q. 125.

Let ‘x’ be the total profit in that particular year.

x-(x/3 + x/4) = 5000. » x- 7x/12 = 5x/12 ; i.e. 5x /12=5000; :. x=

12000.

:. A’s amount = 12000/3 = 4000. Ans.

Q. 126. A book-seller bought 200 textbooks for 12000. He wanted to

sell them at a profit so that he got 20 books free. At what profit per

cent should he sell them?

(a) 10 (b) 11 (c) 11.5 (d) 12 (5) none of these


Explanation Q. 126.

Here, the profit = CP of 20 books out of 180 books and

now the CP of 180 books = 12000.

:. The profit percent = 20 × 100/180 = 11 1/9 %.Ans.

Q. 127. A shopkeeper marks his sarees at 20% above the cost price and

allows the purchaser a discount of 10% for cash buying. What

profit per cent does he make?

(a) 18 (b) 12 (c) 10 (d) 8 (e) None of these

Ans: (d) 8

Explanation Q. 127.

Let the CP of saree = 100.; then Marked price = 120

:. SP = 120 – 10% of 120 = 120 -12 = 108. So, profit = 8

:. Profit percent = 8%. Ans.

Q. 128. A gold bracelet is sold for 14500 at a loss of 20%. What is the

cost price of the gold bracelet?

(a) 18125 (b) 17400 (c) 15225 (d)


Ans: (a) 18125.

Explanation Q. 128.

The SP of the gold bracelet is 80% of the CP.

:. CP = 14500 × 100/80 = 18125.Ans.

Q. 129. Sonika spent Rs. 45760 on the interior decoration for her home,

Rs.27896 on buying Air conditioner and the remaining 28% of the

total amount she had as cash with her. What was the total

amount?

98540 (b) 102300 (c) 134560 (d) cannot be


Ans: (b) 102300

Explanation Q. 129.

The Total expense = 45760 + 27896 = 73656 = 72% of

the Total amount.

:. Total amount = 73656 × 100/72 = 102300. Ans.

Q. 130. On selling an item for 276 a person gains 15%. In order to gain

35%, what should be the increase in its selling price?

(a) 42 (b) 44 (c) 45 (d)

48 (e) 50

Ans: (d) 48.

Explanation Q. 130.

i.e. 115 % of CP = SP = 276

CP = 276 × 100/115 = 240

35% of 240 = 84.

:. Required increase in selling price = 324 – 276 = 48.Ans.

Q. 131. A person sells an item at a profit of 42%. If the customer pays

12496 for that item what is the net profit (in ) of the person?

3284 (b) 3416 (c) 3696 (d)


Ans: (c) 3696

Explanation Q.131.

Here, The SP is 142% of the CP;

:. CP = 12496 × 100/142 = 8800.

:. The net profit of the person = 12496 – 8800 = 3696.Ans.

Q. 132. Manoj incurred a loss of 40% on selling an article for 5700.

What was the cost price of the article?

(a) 7725 (b) 9080 (c) 8250 (d)


Ans; (e) None of these

Explanation Q.132.

Here, the Selling price only 60% of the Cost price;

So, Cost Price = 5700 × 100/60 = 9500.Ans.

Q. 133. Meenal purchased a car for Rs.250000 and sold it for Rs.348000.

What is the percent profit she made on the car?

(a) 40 (b) 39.2 (c) 38.4 (d) 38 (e) None of these.

Ans: (b) 39.2

Explanation Q. 133.

Actual profit = 348000 - 250000 = 98000.

So, the Profit percent = 98000 × 100/250000 = 39.2%.Ans.

Q. 134. A shopkeeper increases the original selling price of an item to its

twice. The initial gain per cent is given as 8%. Find out the new

gain per cent.

(a) 64% (b) 116% (c) 164% (d) 180% (e) 205%

Ans: (b) 116%

Explanation Q. 134.

Let the Cost price = Rs.100

The initial gain per cent = 8%

So, original SP = 108

Twice the SP = 216

Then, the gain = 216 – 100 = 116 i.e. gain per cent = 116%.Ans.

Q. 135. A man buys a cycle at a discount of 15% and sells it for 2550.

In this process, he makes a profit of 25%. Find the discount

received by him.

(a) 220 (b) 300 (c) 320 (d)


Ans: (d) 360

Explanation Q. 135.

Man’ SP is 125% of his CP; So, his CP = 2550 × 100/125 = 2040.2040 is 85% of the actual SP:. The actual SP = 2040 × 100/85

= 2400

:. The discount received by the man = 15% of 2400 = 360.Ans.

( or 2400 – 2040 = 360Ans.)

Q.136. A person sells two fans for 3200. The cost price of the first fan is

equal to the selling price of the second fan. If the first is sold at

40% loss and the second at 100% gain, what is total profit or loss?

(a) 160 (b) 200 (c) 240 (d)


Ans: (b) 200

Explanation Q. 136.

The cost price of 1st fan and SP of 2nd fan given to be equal, let it be

100.

On 1st fan there is a loss of 40%, So its SP = 60

Gain on 2nd fan is 100%, So, its CP = 50

:. Total cost price of two fans = 100 + 50 = 150

Total SP = 60 + 100 = 160

If total SP =160, then the corresponding cost price = 150

:. When total SP is 3200,

Then the cost price = 150/160 × 3200 = 3000.

Profit = 3200 – 3000 = 200.Ans.

Q. 137. A dishonest dealer sells his goods at the cost price, but he uses a

weight of 900 gm for 1kgwt. What is his gain per cent?

(a) 10% (b) 11% (c) 11 1/9% (d) 10 1/9% (e) None of these

Ans: (c) 11 1/9%

Explanation Q. 137.

Let the cost price of 1kg good = 100

He sells for 100, what he got for 90, then his gain =100 – 90 =

10

:. His gain per cent = 10/90×100 = 100/9 = 11 1/9%. Ans.

Q. 138. A man sold 18 cots for Rs.16800, gaining thereby the cost price of 3

cots. Find the cost price of a cot.?

(a) 600 (b) 800 (c) 900 (d)


Ans: (b) 800

Explanation Q. 138

Let the cost of one cot = x

Then CP of 18 cots = 18x; given, SP of 18 cots = 16800

Gain = 3x

i.e. 16800 – 18x = 3x and 21x = 16800; :. x= 800

So, the cost of one cot = 800.Ans.

Q. 139. Raghavan purchased a scooter at 13/15th of its selling price and sold it

at 12% more than its selling price. His gain is

(a) 20% (b) 30% (c) 38 1/13% (d) 29 3/13% (e) None of

thesey

Ans: (d) 29 3/13%

Explanation Q. 139.

Let the SP = 30000

Then CP = 30000 × 13/15 = 26000

Raghavan’s SP = 30000 +12% 0f 30000 = 33600

So, his actual gain = 7600 and the gain per cent = 7600 ×100/26000 =

29 3/13%.Ans.

Q. 140. A coconut merchant finds that the cost price of 2750 coconuts is the

same as the selling price of 2500 coconuts. Find the percentage

loss or gain.

(a) 5% loss (b) 10% gain (c) 15% loss (d) 20% gain (e) None of these

Ans: (b) 10% gain

Explanation Q. 140.

Let the CP of one coconut = 1

Then CP of 2750 coconuts = 2750

:. SP of 2500 coconuts = 2750; :. SP of one coconut = 2750/2500;

:. SP of 2750 coconuts = 2750 × 2750/2500 = 3025

Actual gain = 3025 – 2750 = 275 ; and the gain per cent = 275/2750 ×

100 = 10%.Ans.

Q. 141. The cost of manufacture of an article was 900. The trader

wants to gain 25% after giving a discount of 10%. The market

price should be

1500 (b) 1250 (c) 1200 (d) 1000 (e)

None of these

Ans: (b) 1250

Explanation Q.141.

Let ‘x’ be the marked price of the article

Then, x- 10% of x = 900 + 25% of 900

x- 10x/100 = 900 + 225; » 90x/100 = 1125 ; » x = 112500/90 =

1250.Ans.

Q. 142. A shopkeeper purchase 12 balloons for 10 and sells them at

balloons for 12. Thus, earns a profit of

(a) 35% (b) 36% (c) 44% (d) 45% (e) None of these

Ans: (c) 44%

Explanation Q. 142.

CP of 12 balloons = 10; SP of 12 balloons = 12 × 1.2 = 14.4

(i.e. SP of 1 balloon = 1.2); So actual gain = 14.4 – 12 = 4.4

:. Profit per cent = 4.4/10 × 100 = 44%.Ans.

Q. 143. A man is paid 20 for each day he works and forfeits 3 for

each day he is idle. At the end of 60 days he gets 280.

Then, he was idle for

(a) 20 days (b) 25 days (c) 30 days (d) 40 days (e) None of these

Ans: (d) 40 days.

Explanation Q. 143.

Let the man is idle for x days

Then, 20 (60-x) – 3x = 280

1200 – 23x = 280; then x =920/23 = 40

:. The man is idle for 40days.Ans.

Q. 144. Anuradha sold 2 books at 1.40 each. Her profit on one was

20% and her loss on the other was 20%. Then, she

(a) Made no loss no gain (b) Gained 20-paise (c) Lost 12-paise (d) Lost 20-

paise (e) None of these

Ans: (c) Lost 12-paise

Explanation Q. 144.

If there is a profit of x% and a loss of y%,

then the resultant profit or loss = x-y – x y/100%

So, the resultant profit or loss = 20 – 20 - 20×20/100 = -4%. ( ‘-‘ means loss)

Total SP = 2.80, which equals to 96% of CP of 2 books.

.: CP of 2 books = 2.80 × 100/96 = 2.92; :. Loss = 2.92 – 2.80 = .12 =

12paise.Ans.

Q. 145. A TV and a VCR together cost 35000. If TV is 1 ½ times

costlier than VCR, then the cost of VCR is

(a) 12000 (b) 14000 (c) 13000 (d) 15000 (e)

None of these


Explanation Q.145.

Let ‘x’ be the cost of VCR;

Then, x+ (x+3x/2) = 35000.; i.e. 7x/2 = 35000; x= 10000

I.e. cost of VCR = 10000.Ans.

Q. 146. By selling a table for 350 instead of 400, loss per cent

increase by 5%. The cost price of the table is

(a) 1050 (b) 417.50 (c)

435 (d) 1000 (e) None of these

Ans: (d) 1000

Explanation Q. 146.

The difference in prices = 400 – 350 = 50, which equal to 5% of the

cost,

:. The cost price = 50 × 100/5 = 1000.Ans.

Q. 147. A fan is listed at 1500 and a discount of 20% is offered on the

list price. What additional discount must be offered to the customer

now to bring the net price

to 1104

(a) 8% (b) 10% (c) 15% (d) 12% (e) None of

these

Ans: (a) 8%

Explanation Q. 147.

After 20% discount the price of the fan = 1500 – 300 =

1200

The difference of the net selling price of 1104 = 1200 –

1104 = 96 further discount and its percentage = 96 ×

100/1200 = 8%.Ans.

Q. 148. The marked price of an article is 200. A discount

of 12 ½% is allowed on the marked price and a profit of 25% is

made. The cost price of the article is

(a) 200 (b) 175 (c) 120 (d)


Ans: (d) 140

Explanation Q.148.

The SP = 200 – 12 ½% of 200 = 175 = 125% of the CP;

:. CP = 175 ×100/125 = 140.Ans.

Q. 149. If cost price is 80, overhead is 20 and

selling price is 120, then the profit per cent is

(a) 20% (b)50% (c) 40% (d) 30% (e) None of

these

Ans: (a) 20%

Explanation Q. 149.

The CP = 80 + 20 = 100.

The SP = 120; and the profit = 120 – 100 = 20 i.e.

= 20%.Ans.

Q. 150. If selling price of an article is 8/5 times its cost price, then

profit percent on it is

(a) 120% (b) 160% (c) 40% (d) 60% (e) None of these

Ans: (d) 60%

Explanation Q. 150.

Let the cost price be 10.

Then, SP = 10 × 8/5 = 16. So, profit = 6 and

profit percent = 60%.Ans.

Q. 151. A man sells two articles at 99 each. On one he

gains 10% and on the other he loses 10%. What is his loss percent

on the whole transaction?

(a) loss, 1% (b) Loss, 1.5% (c) Profit 1% (d) Profit,

1.5% (e) None of these

Ans: (a) Loss, 1%

Explanation Q. 151.

If there is a gain of a% and loss of a% in selling two articles for the

same cost each, there will be always a loss. Loss percent = a²/100

%.

So, here the loss percent = 10²/100 = 1% Loss. Ans.

Q. 152. The cost price of 18 articles is equal to the selling price of

15 articles. The gain percent is

(a) 15% (b) 20% (c) 25% (d) 18% (e) None of

these

Ans: (b) 20%

Explanation Q. 152.

Here, the profit is the cost of 3 articles out of 15;

So, the gain percent = 3 × 100/15 = 20%.Ans.

Q. 153. Mohan purchased an article and sold it for 2817.50

and earned 15 percent profit on the cost price. What was the cost

price of the article?

(a) 2500 (b) 2450 (c)


Ans: (b) 2450

Explanation Q. 153

The SP is 115% of the CP and is equal to 2817.50.

Then the CP = 2817.50 × 100/115 = 2450. Ans.

Q. 154. Ghanashyam purchased an article for 1850. At

what price should he sell it so that 30% profit is earned?

(a) 2450 (b) 2245 (c)


Ans: (c) 2405

Explanation Q. 154.

The SP should be CP + 30% of CP = 1850 + 555 =

2405. Ans.

Q. 155. On selling 17 balls at Rs.720, there is a loss equal to the

cost price of 5 balls. The cost price of each ball is

(a) 45 (b) 50 (c) Rs.55 (d)

Rs.60 (e) none of these

Ans: (d) 60

Explanation Q. 155.

Here SP of 17 balls = CP of 12 balls = 720

Therefore, CP of 1 ball = 720/12 = 60. Ans.

Q. 156. A man purchases 12 apples for Rs. 8 and sells 8 apples

for Rs.12. How much profit does he make?

(a) 25% (b) 50% (c) 75% (d) 100% (e)125%

Ans: (e) 125%

Explanation Q. 156.

The Cost price of 1 apple = Rs. 8/12

The Selling Price of 1 apple = 12/8

Profit in 1 apple = 12/8 – 8/12 = 5/6

Per cent profit = 5/6 ÷ 8/12 × 100 = 125%.Ans.

Q. 157. The price of 28 chairs is equal to that of 6 tables. The price

of 18 chairs and 3 tables together is Rs.4800. The total price

of 15 chairs and 6 tables is

(a) Rs.7450 (b) Rs.6850 (c) Rs.6450 (d) Rs.1940 (e)

Rs. 1240

Ans: (c) Rs.6450

Explanation Q. 157.

Let ‘x’ be the cost of a chair and ‘y’ be the cost of a table

Then, 28x = 6y; and 18x + 3y = 4800; y= 28x/6

18x + 3×28x/6 = 4800; i.e. 32x = 4800 and so, x = the cost of one

chair = Rs.150 and the cost of one table = y =Rs.700.

:. The total price 15 chairs and 6 tables = 15 × 150 + 6 × 700 = Rs.

6450. Ans.

Q. 158. A shopkeeper offers 10% discount on an article and still

makes a profit of 20%. To him, what is the actual cost of the article

marked at Rs.500?

(a) Rs. 440 (b) Rs.425 (c) Rs.400 (d) Rs. 375 (e) None of these

Ans: (d) Rs.375.

Explanation Q. 158.

Marked price =Rs.500

Discounted price = Rs 450 and Rs. 450 is 120% of the CP ;

Therefore, actual CP = 450 × 100/120 = Rs. 375. Ans.

Q. 159. The marked price of a pen is Rs.60. After allowing a

discount 10%, the merchant makes a profit of 20%. What is the

cost price of the pen?

(a) Rs.40 (b) Rs.45 (c)Rs. 60 (d) Rs.80 (5)None

of these

Ans: (b) Rs.45

Explanation Q. 159.

The discounted price = Rs. 54 which is 120% of CP; :. CP = 54

× 100/120 =Rs.45.Ans.

Q. 160. The present price of an article has been reduced by 20%.

If the reduced price is Rs.800 per quintal, then old price per quintal

was

(a) Rs.900 (b)Rs.640 (c)

Rs.960 (d)Rs.1000 (5)None of these

Ans: (d) Rs.1000.

Explanation Q.160.

The reduced price is 80% of the old price = Rs.800

The old price = 800 × 100/80 = Rs.1000. Ans.

Q. 161. A shopkeeper sold sarees at Rs.266 each after giving 5%

discount on labeled price. Had he not given the discount, he would

have earned a profit of 12% on the cost price. What was the cost

price of each saree?

(a) Rs.280 (b)Rs.260 (c) Rs.240 (d) Data

inadequate (e)None of these


Explanation

95% of the labeled price = Rs. 266; :. Labelled Price = 266 ×

100/95 = Rs.280

i.e. 112% of CP = Rs.280; So, the cost price = 280 × 100/112 =

Rs.250. Ans.

Q. 162. Sushma bought a microwave oven at a discount of 40% on

the listed price. What is her percentage profit if she sells the oven

at 5% more than the listed price?

(a) 25 (b) 75 (c)45 (d) Cannot be determined (e) None of

these

Ans: (b) 75%

Explanation:

Let the Listed price = Rs.100.

Then, her CP = Rs.60; So, her selling price would be = Rs. 105

Then, her profit = Rs.105 – 60 = Rs.45. and

her profit percent = 45 × 100/60 = 75%. Ans.

Q. 163. A profit of Rs.19488/- is distributed amongst three partners

X, Y and Z in the ratio of 5 :2: 7 respectively. What is the total of

Y’s and Z’s share?

(a) Rs.9744/- (b) Rs.12528/- (c) Rs.16704/- (d)

Rs.14513/- (e) None of these

Ans: (b) Rs.12528/-

Explanation:

Let 5x, 2x and 7x be the shares of X, Y and Z respectively.

Then, 5x + 2x + 7x = Rs.19488, i.e. 14x = 19488, => x = 1392

Total share of Y and Z = 2 + 7 = 9,

So the amount = Rs.9x = Rs. 9 × 1392 = Rs.12528. Ans.

Q.164. The owner of a television shop charges his customer 25%

more than the cost price. If the customer paid Rs.8022 for a

television then what was the actual cost of the TV?

(a) Rs.6500 (b) Rs.6200 (c) Rs.6400 (d) Rs.6450 (e)None of

these


Explanation:

The customer paid Rs.8022 = 125% of actual cost price

:. The actual cost of television = 8022 × 100/125 =

Rs.6417.60. Ans.

Q. 165. A man buys an article for 10% less than its value and sells

it for 10% more than its value. His gain or loss percent is

(a) Less than 20% profit (b) More than 20% profit (c) 20%

profit (d)No profit, no loss (e) None of these

Ans: (b) More than 20% profit

Explanation:

Let the value of the article be Rs.100;

Then he buys it for Rs. 90 and Sells it for Rs.110

So, his profit = Rs.20; Then, there is a gain percent of = 20 ×

100/90 = 22 2/9%. i.e. More than 20% profit. Ans.

Q.166. A sum of Rs.370 is to be divided among A, B and C such

that A’s share/B’s share = B’s share/C’s share = ¾. Then, A’s

share (in rupees) is


Ans: (d) Rs.90.

Explanation:

Given that, A : B = 3 : 4; B : C = 3 : 4

A : B 3 : 4

B : C 3 : 4

A : B : C = 9 : 12 : 16; :. A’s share = 9 × 370/37 = Rs.90. Ans.

Q.167. An apple costs Rs.1.75 and an orange costs Rs.1.50.

What will be the total cost of 3 dozens of apples and 2 dozens of

oranges?

(a) Rs.99 (b) Rs.63 (3)Rs.36 (d) Rs.100 (e)None of these

Ans: (a) Rs.99.

Explanation:

3 × 12 × 1.75 + 2 × 12 × 1.50 = Rs. 63 + Rs.36 =Rs.99. Ans.

Q. 168. Two motor cars were sold for Rs.9900 each gaining 10%

on one and losing 10% on the other. The gain or loss percent in

the whole transaction is

(a)Neither loss nor gain (b) 1% profit (c)100/99% profit (d)1%

loss (e)None of these

Ans: (d) 1% loss

Explanation:

S. P = Rs.9900; i.e. 110% of CP => CP = 9900 × 100/110 =

Rs.9000

SP = 9900; i.e. 90% of CP => CP = 9900 × 100/90 =

Rs.11000. So, Total CP = Rs.20000;

Total SP = Rs.19800; :. Loss = 200 × 100/20000 = 1% loss. Ans.

Q.169. By selling an article for Rs.240, a person loses 20%. To

gain 20%, he should sell it for


Ans: (a) Rs.360

Explanation:

Here, the Selling price = 80% of the Cost price = Rs.240

Therefore, the cost price = 240 × 100/80 = Rs.300.

To get a gain of 20% he should sell it for Rs. 360. Ans. ( where

360 = 300 + 20% of 300)

Q.170. A bought 5 pencils for Rs.4 and sells 4 pencils for Rs.4.

The gain per cent in the transaction is

(a)25% (b)20% (c)56 ¼% (d)50% (e) None of these

Ans: (b) 20%

Explanation:

Out of 5 pencils the profit is 1 pencil;

So, the gain per cent = 1 × 100/5 = 20%. Ans.

Q. 171. If the ratio of the cost price and the selling price is 5 : 6, the

gain per cent is

(a)20% (b)33 1/3% (c)25% (d)30% (e)None of these

Ans: (a) 20%

Explanation:

The profit = 6 – 5 = 1 unit of ratio

So, gain percent = 1 × 100/5 = 20%. Ans.

Q.172. If the cost price of 12 oranges is equal to selling price of 10

oranges, then the percentage of profit is

(a)16 2/3% (b) 20% (c)18% (b)25% (e)None of these

Ans: (b)20%

Explanation:

The profit is 2 oranges when selling 10 oranges,

So, percentage of profit = 2 × 100/10 = 20%. Ans.

Q.173. A trader’s marked price is 30% above the cost price. He

allows his customers 10% discount on the marked price. What

profit does he make?


Ans: (a) 17%

Explanation:

Let the cost price be Rs.100. Then the marked price = Rs.130.

So, the Selling price = Rs. 130 – 10% of 130 = Rs.117

:. The profit = 117 – 100 = Rs.17 and the profit percent =

17%. Ans.

Q.174. If the selling price of 16 items is same as the cost price of

20 items, then there is a

(a) loss of 20% (b)loss of 25% (c) gain of 20% (d) Gain of

25% (e) None of these

Ans: (a)

Explanation:

Here the loss = 4 items out of 20 items; So the loss percent = 4×

100/20 = loss of 20%. Ans.

Q.175. If the cost of one watch, one plain sheet and one book

together is Rs.480 and the cost of five plain sheets and four books

is Rs.550, what will be the cost of three books and a pen?

(a) Rs.480 (b)Rs.520 (c)Rs.665 (d) Data inadequate (e) None

of these

Ans: (d) Data inadequate

Explanation:

x+y+z = 480 ; 5y + 4z = 550; So, data is not adequate.

Q.176. 100 oranges are bought for Rs.350 and sold at the rate of

Rs.48 per dozen. The percentage of profit or loss is

(a)15% loss (b)15% gain (c)14 2/7% loss (d)14 2/7%

profit (e)None of these

Ans: (d) 14 2/7%profit

Explanation:

The cost price of 1 orange = Rs.3.50

The selling price of 1 orange = Rs.4.; :. Profit = Rs. 0.50

So, the profit per cent = 0.50 × 100/3.50 = 14 2/7% profit. Ans.

Q.177. An item costing Rs.840 was sold by a shopkeeper at a gain

of 10% and it was again sold by the new buyer at a loss of 5%.

Final selling price of the item is

(a)Rs.877.80 (b)Rs.798 (c)Rs.924 (d)Rs.37.80 (e)None of these

Ans: (a) Rs.877.80

Explanation:

First selling price = Rs.840 + 84 = Rs.924

Second selling price = Rs.924 – 5% of 924 = 924 – 46.2 =

Rs.877.80. Ans.

Q.178. A man bought a second-hand typewriter for Rs.1200 and

spent Rs.200 on its repairs. He sold it for Rs.1680. His profit per

cent is

(a)20% (b)10% (c)8% (d)16% (e) None of these

Ans: (a) 20%

Explanation:

The CP of the typewriter = Rs. 1200 + 200 = Rs.1400

Its SP = Rs.1680; and the profit = 1680 – 1400 = Rs.280

So, profit percent = 280 × 100/1400 = 20%.Ans.

Q. 179. An article is sold at a profit of 20%. If it had been sold at a

profit of 25%, it would have fetched Rs.35 more. The cost price of

the article is

(a) Rs.650 (b)Rs.700 (c)Rs.750 (d)Rs.800 (e)None of these

Ans: (b) Rs.700

Explanation:

The difference in percentage i.e. 25% - 20% =5% = Rs.35

i.e. 5% of the cost price = Rs.35; :. CP = 35 × 100/5 =

Rs.700. Ans.

Q. 180. Some articles were bought at 6 for Rs.5 and sold at 5 for

Rs.6. Gain is


Ans: (d) 44%

Explanation:

The cost price of 1 article = Rs.5/6

The selling price of 1 article = Rs.6/5

Profit = 6/5 – 5/6 = 11/30 and

profit percent = 11/30 ÷ 5/6 × 100 = 11/30 × 6/5 ×100 = 11/25 ×

100

= 44%. Gain. Ans.

Q. 181. A trader marked the price of his commodity so as to

include a profit of 25%. He allowed discount of 16% on the marked

price. His actual profit was

(a)5% (b)9% (c) 16% (d)25% (e)None of these

Ans: (a) 5%

Explanation:

Let the cost price of his commodity = Rs.100

Then the marked price = Rs.125

And the selling price = Rs.125 – 16% of 125 = Rs.125 -20

=Rs.105.

Thus, his actual profit =Rs.5 and gain percent =5%.Ans.

Q. 182. By giving a discount of 10% on the marked price of

Rs.1100 of a cycle, a dealer gains 10%. The cost price of the cycle

is

(a)Rs.1100 (b)Rs.900 (c)Rs.1089 (d)Rs.891 (e)None of them

Ans: (b) Rs.900

Explanation:

The selling price = Rs.1100 – 10% of 1100 = 1100 – 110 = Rs.990

Rs. 990 is 110% of the cost price, So, the CP = 990 × 100/110 =

Rs.900.Ans.

Q. 183. A trader marks his goods at 20% above the cost price. If

he allows a discount of 5% on the marked price, what profit

percent does he make?

(a)14% (b)16% (c)18% (d)20% (e) None of these

Ans: (a) 14%

Explanation:

Let the cost price of the good = Rs.100

Then, the marked price = Rs.120

Selling price = Rs.120 – 5% of 120 = 120 – 6 = Rs.114

So, his profit percent = 14%. Ans.

Q. 184. A discount of 14% on the marked price of an article is

allowed and then the article is sold for Rs.387. The marked price of

the article is


Ans: (a)Rs.450

Explanation:

The selling price is 86% of the marked price and is = Rs.387.

So, The marked price = 387 × 100/86 = Rs.450.Ans.

Q. 185. A man sells two tables at the same price. On one he

makes a profit of 10% and on the other he suffers a loss of

10%. His loss percent on the whole transaction is


Ans: (b) 1% loss

Explanation:

Note: If there is an increase and decrease same percent, say,”a

%” then there is always a loss of a²/100.

Therefore, in this problem, a = 10, and therefore, loss percent =

10²/100

= 1% loss. Ans.

Q. 186. If the cost price of 50 oranges is equal to the selling price

of 40 oranges, then the profit per cent is


Ans: (d) 25%

Explanation:

Because the cost price of 50 oranges = Selling price of 40 oranges

The profit is 10 oranges out of 40 oranges;

therefore, the profit percent = 10 × 100/40 = 25%. Ans.

Q. 187. 7000 bricks were purchased for Rs.5740. The cost of

transportation of these bricks to construction sight was Rs.805.

What was the overall cost per thousand bricks?

(a)Rs.935 (b) Rs.6545 (c) Rs.812.50 (d) Rs. 654.50 (e) None

of these

Ans: (a) Rs.935

Explanation:

The total cost of 7000 bricks including transportation

= Rs.5740 + Rs.805 =

Rs.6545

Overall cost per 1000 bricks = 6545/7 = Rs.935. Ans.

Q.188. Chamanlal purchased 20 dozen note books @ Rs.48 per

dozen. He sold 8 dozen at 10% profit and the remaining12 dozens

with 20% profit. What is the profit percentage in this transaction?

(a)15 (b) 7.68 (c)16 (d)19.2 (e)None of these

Ans: (c) 16

Explanation:

Total cost price = 20 × 48 = Rs.960/-

Amount of first selling = 8 × Rs.52.80 = Rs.422.40

Amount of second selling = 12 × Rs.57.60 = Rs.691.20

Total selling price = 422.40 + 691.20 = Rs.1113.60

Profit = 1113.60 – 960 = Rs.153.60

Therefore profit per cent in this transaction = 153.60 × 100/960 =

16%. Ans.

Q. 189. A ball pen factory decided to reduce its production by 10%

over that of previous month for next 3 months starting from

February 1999. In January 1999, it produced 3000 ball pens. How

many ball pens were produced in March1999?


Ans: (b) 2430

Explanation:

The no. of ball pens produced in January 1999 = 3000 given,

“ February 1999 = 3000 – 300 = 2700

“ March 1999 = 2700 – 270 =

2430. Ans.

Q.190. A customer purchased an office bag with a price tag of

Rs.600 in a sale where 25% discount was being offered on the tag

price. The customer was given a further discount of 10% on the

amount arrived at after giving usual 25% discount. What was the

final amount paid by the customer?

(a) Rs.390 (b) Rs.405 (c) Rs.540 (d)Rs.565 (e) None of these

Ans: (b) Rs.405.

Explanation:

After 25% usual discount the price = Rs. 600 – 150 = Rs.450

After 10% further discount it will be = 450- 45 = Rs. 405. Ans.

Q.191. A fruit seller buys lemons at 2 for a rupee and sells them

at 5 for three rupees. His gain per cent is

(a)10% (b)15% (c)20% (d)25% (e)None of them

Ans: (c) 20%

Explanation:

The cost price of 1 lemon =Rs.0 .50

Selling price of 1 lemon = Rs.0.60; therefore, profit = Rs.0.10

:. Gain per cent = 0.10 × 100/0.50 = 20%. Ans.

Q. 192. After deducting a commission of 5%, a TV set costs

Rs.9595. Its marked price is

(a)Rs.10000

(b)Rs.10074.25 (c)Rs.10100 (d)Rs.12000 (e)None of these

Ans: (c) Rs.10100

Explanation:

The cost of Rs.9595 of TV is 95% of the marked price;

Therefore, marked price = 9595 × 100/95 = Rs.10100. Ans.

Q. 193. If a person sells a ‘sari’ for Rs.5200, making a profit of

30%, then the cost price of the sari is

(a)Rs.4420 (b)Rs.4000 (c) Rs.3900 (d)Rs.3800 (e)None of

these

Ans: (b) Rs.4000

Explanation:

Selling price is 130% of the cost price;

Therefore, the cost price of sari = 5200 × 100/130 =

Rs.4000. Ans.

Q.194. If the selling price of 40 articles is equals to the cost price of

50 articles, then the loss or gain per cent is

(a) 25% loss (b)20%loss (c)25% gain (d)20% gain (e)None of

these

Ans: (c) 25% gain

Explanation:

Here, the profit is 10 articles out of 40 articles

Therefore, the gain per cent = 10 × 100/40 = 25% gain. Ans.

Q. 195. Oranges are bought at the rate of 10 for Rs.25 and sold at

the rate of 9 for Rs.25. The profit is

(a)9 1/11% (b)10% (c)11 1/9% (d)12 ½% (e)None of these

Ans: (c) 11 1/9%

Explanation:

Here, the profit is 1 orange out 9 oranges

So, the profit percent = 1 × 100/9 = 11 1/9%. Ans.

Q.196. Nikhil bought a painting at a certain price and sold it at

Rs.462000 which was 10% more than the original price. What was

the price at which Nikhil bought the painting?



Ans: (a)Rs.420000

Explanation:

The price at which Nikhil sold is 110 % of his cost price,

So, his cost price= 462000 × 100/110 = Rs.420000.Ans.

Q. 197. The labeled price of a product is Rs.620. If it is sold at 15%

discount and the dealers earn a 20% profit, what is the cost price?

(a) Rs.439.16 (b) Rs.423.16 (c) Rs.412.16 (d) Rs.436.11 (e)

None of these

Ans: (a) Rs.439.16

Explanation:

The selling price = Rs.620 – 15% of 620 = 620 – 93 = Rs.527

Rs.527 is 120% of the cost price; Therefore,

cost price = 527 × 100/120 = Rs.439.16. Ans.

Q. 198. If the cost of 12 pencils is equal to selling price of 10

pencils, the profit per cent in the transaction is

(a) 16 2/3% (b) 18% (c) 20% (d)25% (e) None of these

Ans: (a) 16 2/3%

Explanation:

The profit is 2 pencils out of 12 pencils

Therefore, profit percent in the transaction = 2 × 100/12 = 16 4/6 =

16 2/3. Ans.

Q. 199. When a discount of 12% on the marked price of an article

is allowed, the article is sold for Rs.264. The marked price of the

article is

(a) Rs.300 (b) Rs.276 (c)Rs.312 (d)Rs.325 (e)None of these

Ans: (a) Rs. 300

Explanation:

The selling price is 88% of the marked price;

Therefore, the marked price = 264 × 100/88 = Rs.300.Ans.

Q. 200. Successive discounts of 20% and 15% are equivalent to a

single discount of

(a)35% (b)32% (c)17.5% (d)17% (e) None of these

Ans: (b) 32%

Explanation:

Let the marked price be Rs.100.

Then, SP will be = 100 – 20 = Rs.80 – 15% of 80 = 80 – 12 =

Rs.68

Because, after the successive discounts the SP = Rs.68;

The effective discount = 32%. Ans.

04profit and loss

Documents

item of rs

c loss of rs

b gain of rs

customer paid rs

profit loss

gel pens

ball pens

percentb gain