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Apttrix eClasses in association with Qmaths brings

Formula Free Maths Crash Coursefor SSC CGL Tier-1

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By Ravi Mohan Mishra (RaMo), CAT 99.99%iler

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Percentages

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oApttrix eClasses in Association with Qmaths for SSC CGL Maths Tier-1 Free Crash Course

Percentages

1) If a is 80% of b, what % of a is b?

A) 75%

B) 80%

C) 100%

D) 125%

2) If 40% of (A+B) = 60% of (A-B) then 2𝐴−3𝐵

𝐴+𝐵

is

A) 7

6

B) 6

7

C) 5

6

D) 6

5

3) 5% of a = b, then b% of 20 is the same

as____________

A) 20% of a/2

B) 50% of a/20

C) 50% of a/2 D) 20% of a/20

4) If food prices go up by 10%, by how much should a man reduced his consumption so as not to increase his expenditure?

A) 91

11%

B) 10%

C) 92

11%

D) Data insufficient

5) A reduction of 21% in the price of an item

enables a person to buy 3 kg more for 100. The reduced price of item per kg is:

A) Rs. 5.50 B) Rs. 7.50 C) Rs. 10.50 D) Rs. 7.00

6) A reduction in the price of apples enables a person to purchase 3 apples for Rs. 1 instead

of Rs. 1.25. What is the % of reduction in price (approximately)?

A) 20% B) 25%

C) 30%

D) 331

3%

7) If the income tax is increased by 19%, the

net income is reduced by 6%. The rate of income tax is:

A) 24% B) 20% C) 25% D) 10%

8) The price of entry ticket of Mughal Garden in

Delhi is of Rs. 210. If the price of ticket is

decreased, the sale of ticket increased by

25% and the collections recorded at

decrease of 12.5%. Find the deduction in the

ticket price (in Rs.).

A) 42

B) 50

C) 63

D) None of these

9) The value of a property depreciates every

year by 10% of its value at the beginning of

the year. The present value of the property

is Rs. 8100. What was its value 2 years ago?

A) Rs. 10,000

B) Rs. (90

100)2 x 8100

C) Rs. (100

110)2 x 8100

D) Rs. 9801

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Percentages

10) The price of an article was increased by r%.

Later the new price was decreased by r%. If

the latest price was Rs.1, then the original

price was:

A) Rs. 1

B) Rs. 1−𝑟2

100

C) Rs. √1−𝑟2

100

D) Rs. (10000

10000−𝑟2)

11) The pressure of a definite mass of a gas is

directly proportional to the temperature and inversely proportional to the volume under the given conditions. If temperature is increased by 40% and the volume is decreased by 20% then the new pressure will

A) Increased by 75% B) Reduce to 25% C) Increased by 20% D) Increased by 28%

12) From 1990 onwards till 1993 the price of

scooters increased every year by 10%. After

1993 the price of scooter decreased every

year by 10% due to government subsidy.

Price of scooter in 1996 is approximately

how much percent more/less than price in

1990. If the same pattern of price is

continued.

A) 3% more

B) 3% less

C) 4% less

D) 4% more

13) The red blood cells in a blood sample grows

by 10% per hour in first two hours,

decreases by 10% in next one hour, remains

constant in next one hour and again

increases by 5% per hour in next two hours.

If the original count of the red blood cells in

the sample is 40000, find the approximate

red blood cell count at the end of 6 hours.

A) 40000

B) 45025

C) 48025

D) 50025

14) The owner of an art shop conducts his

business in the following manner: Every

once in a while he raises his prices by X%,

then a while later he reduces all the new

prices by X%. After one such up-down cycle,

the price of a painting decreased by Rs. 441.

After a second up-down cycle the painting

was sold for Rs. 1944.81. What was the

original price of the painting?

A) Rs 2,756.25

B) Rs 2,256.25

C) Rs 2,500

D) Rs 2,000

15) The annual production in cement industry is

subject to business cycles. The production

increases for two consecutive years

consistently by 18% and decreases by 12%

in the third year. Again in the next two years,

it increases by 18% each year and decreases

by 12% in the third year. Talking 2008 as the

base year, what will be the approximate

effect on cement production in 2012?

A) 24% increase

B) 37% decrease

C) 45% increase

D) 60% decrease

16) At the end of year 2012, Shepherd bought

nine dozen goats. Henceforth, every year he

added p% of the goats at the beginning of the

year and sold q% of the goats at the end of

the year where p>0 and q>0. If shepherd

had nine dozen goats at the end of year 2016,

after making the sales for that year, which of

the following is true?












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Percentages

A) p=q

B) p<q

C) p>q D) p=q/2

17) A spider climbed 621

2% of the height of the

pole in one hour and in the next hour it

covered 121

2% of the remaining height. If

pole’s height is 192m, then distance climbed

in second hour is

A) 3 m

B) 5 m

C) 7 m D) 9 m

18) A factory’s yearly budget for the purchase of

employees’ protection shoes increased by

60% this year over last year. If the price of

the shoes increased by 20% this year, then

the number of shoes it can purchase this

year is what percent greater than the

number of shoes it purchased last year?

A) 40%

B) 331

3%

C) 42%

D) 48%

19) The rate of increase of the price of sugar is

observed to be two percent more than the

inflation rate expressed in percentage. The

price of sugar, on January 1, 1994, is Rs. 20

per kg. The inflation rate for the years 1994

and 1995 are expected to be 8% each. The

expected price of sugar on January 1, 1996

would be

A) Rs.23.60

B) Rs.24.00

C) Rs.24.20

D) Rs.24.60

20) The average salary of male employees in a

firm was Rs. 5200 and that of female was Rs.

4200. The mean salary of the employees was

Rs. 5000. What is the percentage of female

employees?

A) 80%

B) 20%

C) 40%

D) 30%

21) A sample of 50 litres of glycerine is found to

be adulterated to the extent of 20%. How

much pure glycerine should be added to it so

as to bring down the percentage of impurity

to 5%?

A) 155 litres

B) 150 litres

C) 150.4 litres D) 149 litres

22) Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kgs of fresh fruits?

A) 32 kgs B) 40 kgs C) 52 kgs

D) 80 kgs

23) A college has raised 75% of the amount it

needs for a new building by receiving an

average donation of Rs. 600 from the people

already solicited. The people already

solicited represent 60% of the people the

college will ask for donations. If the college

is to raise exactly the amount needed for the

new building, what should be the average

donation from the remaining people to be

solicited?

A) Rs 300

B) Rs 250

C) Rs 400

D) Rs 500














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Percentages

24) One bacteria splits into eight bacteria of the

next generation, But due to environment,

only 50% of one generation can produce the

next generation. If the seventh generation

number is 4096 million, what is the number

of bacteria in first generation?

A) 1 million

B) 2 million

C) 4 million

D) 8 million

25) A man divides a number by 6 instead of

multiplying it by 6. Find the % error in the

result.

A) 97%

B) 972

9%

C) 978

9%

D) 962

9%

26) RaMo increases his speed by 25% and

therefore he reaches his office 15 min early.

Find original time taken to reach his office.

A) 45 min

B) 60 min

C) 75 min D) 90 min

27) In an examination, a student who gets 20%

of the maximum marks fails by 5 marks.

Another student who scores 30% of the

maximum marks gets 20 marks more than

the pass marks. The necessary percentage

required for passing is:

A) 32%

B) 23%

C) 22%

D) 20%

28) In an examination, Kunal obtained 20%

more than Sushant but 10% less than

Rajesh. If the marks obtained by Sushant is

1080. Find the percentage marks obtained

by Rajesh if the full marks are 2000.

A) 86.86%

B) 72%

C) 78.33%

D) 77.77%

29) In a factory 60% of the workers are above 30

years and of these 75% are males and the

rest are females. If there are 1350 male

workers above 30 years, the total number of

workers in the factory is

A) 3000

B) 2000

C) 1800 D) 1500

30) 8% of the voters in an election did not cast

their votes. In this election, there were only

two candidates. The winner by obtaining

48% of the total votes defeated his

contestant by 1100 votes. The total number

of voters in the election was:

A) 21000

B) 23500

C) 22000

D) 27500

31) A man invests a part of Rs. 10,000 at 5% and

the remainder at 6%. The 5% investment

yields annually Rs. 76.50 more than the 6%

investment. The amount invested at 6% is

A) Rs. 3600

B) Rs. 3550

C) Rs. 3850 D) Rs. 4000














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Percentages

32) The number of votes not cast for the Praja

Party increased by 25% in the National General Election over those not cast for it in

the previous Assembly Polls, and the Praja

Party lost by a majority twice as large as that

by which it had won the Assembly Polls. If a

total 2,60,000 people voted each time, how

many voted for the Praja Party in the previous

Assembly Polls?

A) 1,10,000

B) 1,50,000

C) 1,40,000

D) 1,20,000

33) Rakesh adds 12% of his salary in PPF. 3/8 of

the remaining salary is spent in clothes.

Difference between PPF and clothes

expenses is Rs 10500. Remaining amount is

spent on house rent and other expenses. If

house rent expenses is Rs 1500 less than

expenses in other expenses, then what is the

house rent expense?

A) 17000

B) 10000

C) 13000

D) None of these

34) The annual salary of Arun is 7.68 lac. If he

spends Rs. 12000 on his children, 1/13th of

rest of the salary on food and Rs. 8000 in

mutual funds, then find the monthly saving

he is left with.

A) Rs. 38000

B) Rs. 39500

C) Rs. 40000

D) Rs. 41250

Direction for 35 & 36

Anjali’s expense out of her total expenditure

in a trip is in between travel expenses,

Accommodation expenses and shopping

expenses are in the ratio of 5 : 4 : 3. Out of

the travel expenses he spent 25% on bus

ticket, 60% on air tickets and remaining

travel expenses are saved. All of the

accommodation expenses are spent on

hotels. And out of the total expenses on

shopping expenses 50% spent on tax free

products, 472

9% spent on footpath shopping

and remaining saved. The total amount

saved is 17500.

35) From the above information, what is the

total amount on accommodation expense?

A) Rs. 75,000

B) Rs. 84,000

C) Rs. 90,000

D) Rs. 95,000

36) Anjali’s total amount on the trip is

A) Rs. 242000

B) Rs. 252000

C) Rs. 262000

D) Rs. 275000

37) In a village, each of the 60% of families has a

cow: each of the 30% of families has a

buffalo and each of the 15% of families has

both a cow and buffalo. In all there are 96

families in the village. How many families do

not have a cow or a buffalo?

A) 20

B) 24

C) 26

D) 28

38) In a stockpile of products produced by three

machines M1, M2 and M3, 40% and 30%

were manufactured by M1 and M2

respectively. 3% of the products of M1 are

defective, 1% of products of M2 defective,

while 95% of the products of M3 are not

defective. What is the percentage of

defective in the stockpile?

A) 3%

B) 5%

C) 2.5%

D) 4%













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Percentages

39) In a survey of political preferences, 78% of

those asked were in favour of at least one of

the proposals: I, II and III. 50% of those

asked favoured proposal I, 30% favoured

proposal II and 20% favoured proposal III. If

5% of those asked favoured all three of the

proposals, what percentage of those asked

favoured more than one of the three

proposals?

A) 10

B) 12

C) 17

D) 22

40) In a group of 140 people, 70 like apples, 70

like oranges and 110 like banana. Of these

35 like both apples and oranges, 45 like

both oranges and banana and 55 like both

banana and apples. If each of the people like

at least one of the fruits, then how many of

these like all the three fruits?

A) 15

B) 20

C) 25

D) 30

Answers keys :-

1 D 11 A 21 B 31 C 2 A 12 B 22 B 32 C 3 D 13 C 23 A 33 C 4 A 14 C 24 A 34 C 5 D 15 C 25 B 35 B 6 A 16 C 26 C 36 B 7 A 17 D 27 C 37 B 8 C 18 B 28 B 38 A 9 A 19 C 29 A 39 C

10 D 20 B 30 D 40 C








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