PROrIT AISD IOSS - PRAC?rCE QTTESTTOIYSCALCULA?OR ALLOWED

1.

The table below shows how much money a company spent and its metAtUtOfincome in May, June and July.

Month Mav .JLlne JulySpent p15.350 s16,700 &19,100

Incorne f,12,950 s17,100 s21,050

(a) Find the pro{it or loss for eactt month.?- {,e#,,80 to:sFlry = !2-1s$*t53Smr*.-dLko0 ?' {,z

$*nAg l? r oo-15 7Qo*-{-"+oo Pro[:rtf,*l, B SroSO-lqloO=€lFso Pn'Flt

(b) Did the compasry mlake a profit in the three months combined?

SpQrlU = 15350+ l6't00+- l1 loo = 5 t l5 O

fnLonrgz teq5D+ l?tog+a0}O= 5l I oO

Stfog-?S ttSe)= -*5O = €:O LoSS

2.A company spends money on lrages, advertising and supplies.The table below shows how rnuch money they spent on each item in 2AL8 and 2019"

Year 20 18 2419Wages &525,700 &635,800

Advertising flg0,500 s1i7,900Supplies f,la4,20a t130,100

In 2O18, the company's income was t790,O0O.In 2Ot9, the company's income was S975,OOO.

In which year didtJre company make the largest profit?

zot 8 ; Spent = sz,7oo+gosOo+lo+zoo= +1 Le./qos

7 qO o oO -1 2elf$O = *G.l ,600 p "of t?-Ol1 i Sferrb * 63580tt +u TqOo+ tSor0$a,&883r*sCI' 115 ogP * 88Z8oO = *q I rtDS f nlF it

. ';,'!11.ftg#

3.Amy buys and sells fish.On Saturday, she bought 300 lish for fr2.10 each.She sold 165 of the lish for f,A.1O each.The rest of the lish remained unsold.

Work out Amy's profit or loss.

Irrcsrna= l6rX +,tO =, L61b '50

6?6 .so -63o = qk6,So pftFiL

4.Barbara buys and sells used books.On Sunday, she bought 155 books for 95p each.She sold 44 of the books for S1.9O each and 35 of the books for S1.4Oeach.The rest of the books remained unsold.

Work out Barbara's profit or loss.

$pe*L= tSs Xo'ls = f,l+l' >S

39 X ! ,)*.8+q83.60 + 4'q =S lzL' 60

{*2*60 * lrf?,?lSE- * LtLr,65 7 &l+,65 Loss

5.Carlos buys and sells rucksacks.Last week, he hought 25A rucksacks for S15.5O each.He sotrd 4Ao/o of the rucksacks tar fr24 each.The rest of the rucksacks remained unsold.

Work out Carlos's profit or loss.

Srent =* es o x l5'S =838lE4*'1, o[ eSOE' loo

ffi* cm*t# ffi $#ffi p* S"k-$-"E- # *xk*#*

rf\lIT

e|,toO * 38'75 = 'l \hl 5 a *,lt+15 LosS

6.Victor buys and sells musical instruments.He bought 45 guitars for f;55 each and 24 violins for S4O each. )\He so1d. hro thirds of the guitars for t95 each and half of the violins for fl75 eIeach'

.*--^*:*o,il ,.*-^I"l ffifThe rest of the items rernatned unsold. ,4 IWork out Victor's profit or loss.

Sgertt : {*S XS 5 s z.+1 5l-trx +o g, q6sz+'?S+q6O =*&+35

1;r'*tlft-', go(gs = z85o1eX-?5ggooeilss+ Sao= &3?s$

Sf SO - 3+96* *-ztS pnF;b

John runs a clothes shop.He bought 50 t-shirts for &8.75 each and 40 blazers for &14.5O each.John sold 60% of the t-shirts for fr16.60 each, and half of the blarrrs far fi27.7O each.The rest of the items remained unsold.

John's target was to make a profit of over S10O.Did John achieve his target? Show all your working.

+€9 >(t+,5 = SEOer37,5S +$ES = t, I rS l?, SO

eO'l oF So= 3{) , +- oF-@ =:.D

T;trsn,s' *X':rT==*=?+qB +ES+ 3#_t,o9z

IOS Z- I Ol-t,50* €g+,EO ?frFit

rffi

8.Doris runs a market stall selling honey'

She bought 5O kilograms of honey for S185'

She sells honey in 9O0g jars for S5'5O each'

She sold 40 jars.The remaining honey was sold to another seller for 90p per kilogram'

Work out Doris's Profit or loss'

3?qt = 4,t85+ox qoo -* 36,000 I = 3e kg

SO_36z lttkg oF hon"e3 (srt1 a1rl,tas

T.noame: +oxs 's' * L2-O\+xs-qa \L'60Lnfi+ lZ,60= &L&Z'60

z?rz,(o'- l br* L+1 '60 gla\i+

9.Eric buys and sells sports equipment'He bouglrt go rootbafls ror P6.SO each and 65 basketballs for &10'5o each'

He sold +5o/o ofthe footballs for *'L2 eac}r'

He sold 2Ao/o ofthe basketballs for &15 each'

Healsoofferedabasketballandafootballfor&2o.1,4 people bought botlt'

Work out Eric's Prolit or loss'

Sg+nL', 80x q's= ?6O69 X tO'5 f,*&2'516c'+e?;?'5 5 Lt++L 5c>

+S'/- s(- 8a --36 hdrfu'lls sot)z-e'/.s[. 65 5lts ;slletbettt3 sol]

frnc,on'r{'. 36X tr>z+32IB X fS:s le5Lt+X?$*4-&Awx+tq} ++Bo#filtcry

,&1a\./

I tO 1-l$tY2,9o* *€33S'SO; 8335 t sss

,.

10.

Quinn runs a fruit stall at a market.She bought 5O boxes of apples far f,2.75 each.Each box contains 16 apples.She sold 45o/o the apples for 30p each.She sold 75o/o of the remainder of the apples in bags of 3 for 40p each.The rest of the apples remained unsold.

Work out Quinn's profit or loss.

1grt*,* : s 0 X z:75 z'[r az" So

lexSo= 8$C) d'fftes

*&, lroF BOO = SB S so[& rbr gaf e*rJ^

soo-36o = ++o,1 5,/. + q|'o;3SO+ Z-- tr} brryls sg 3 -$ot}

{,oqsr',€' l$8"il ';i rs2_ r37 soIOB +L*+ = fit52- = tt+.5o ?^,ht

t-

11.Raj runs a fruit sta1l at a market.She bought 15 crates of bananas for fl7.50 each.Each crate contains 1O bunches of bananas.Each bunch contains 5 bananas.She sold 21O banartas for 35p each.She sold a quarter of the remainder of the bananas in bunches of 5 for S1 each.The rest of the bananas remained unsold.

Work out Raj's prolit or loss.

$pen+' = lsxT-s =Ltrz,salSxtDx$=lSO bc\na,nas

?SO *Zxe=5kO.Sfu€) **-= \BB a S = 2-7 burr&es sF S

Zncs M,a', ZJOX 0'3S=" ?3'5OZ1 X f.oo= L1? 3.sD+L? r *100,90

loO,SO - I l?-"S 0 x, -*tZ T- { la to5$

/

12.Shaun buys and selis flip-flops.He bought 14O pairs of flip-flops for f,12.25 each.He sells the flip-flops for S19.95 per pair.His goal is to make a profit of at least 9,24A.

Horv many pairs would Shaun need to sell to achieve his goal?

Src,rt z ttfic y tz-Ls=E t7t5;tAt 9+2-l1O = ttq$: (in c.cntQ, neotab tO 4ch€ryg €oal )

tq SSi \q,{S = q-r.qq... ?,vtrs oP Plip FIopS

.-x8

13.Tim buys and sells cameras.He bought 95 eameras for fl120 each.He sells the cameras for S189 each.His goal is to make a profit of at least 83,0OO.

How marry cafileras would Tim need to sell to achieve his goal?

S"p€^t = aSx t>fi*LtIhOOt t+OO+ 8OO o *tl t++OO (ir,<s{ttq tuetch +. rlill*ltt{Soe\)

it*r+os; t81 = 16,tI,,, M= '7 1

-t-I-.L4.Yvonne buys and sells pens.She bought 88O pens for 1lp each.Her goal is to make a profit of at least fl100.

If she se1ls 80% of the pens, what price would she need to sell them far in ord"er toachieve her goal?

Se-ent-- 88 o x o . ]l= L96,8o16,8() + IOO =#q 6 . 80 (\^ cl,ftte- 4"e0i84 to qrli{l,e go.-\)

8O'/- sL 6Eo= "o+lq6.60 +1Ot+= b'L'79 "'

3 €D,2,8

0g

/

2zt

15.Irene buys and sells rings in two types - ruby"and emeraldShe buys 25 ruby rings for S56 eac}r.She buys 36 emerald rings for S49 each.Irene sells the ruby rings for t95 each and the emerald rings for S75 each.Irene sold only 4oa/a af the ruby rings.She made a loss of frLL4.

Work out how mar:ry emerald rings Irene sold.

Sp*nt i 2-sX58* te#*CIt}' B)< *? =: ra6+rkcs+fi6* =F tb+

ry6;;'1. of- L5,- lo ruby rLngs stt&

3'6+ - | t += tSoso = iaej|fialO X qS = €q S O = in cartr-- fi,o,n ruW ,inq S.3SSS* qSC) * EZ.IOS = i*c0fiQ fi'urnr"ena*-At& 'rlr$S2-roo +T 5 a a& eryryqt & rrfig4 I4l 4

16.Hatry buys and sells computer equipment.He bought 55 keyboards for S10.5O each.He bought 115 mice for S6 each.He sells the mice for S9.85 each.He sold 39 of the keyboards and 70 af the mice.He made a profit of &2A2.

Work out the price he sold the keyboards for.

%pent,' sSx ts,5= s?7"S0ttsx6 = 6qas??-Ss+6tu ZLl2b?,5O

0

T-rrcsrne = tz6? '5o+ LO.}, -- t, }+6q"SO

-loX q ,85= $oE'l'S$ = i'r<-owe ht*vt nilteg

l+gg.5o* 6, m,,*Pr &z1's ;r4ra-14" ry'* '}*Sboqrds*t$a+ 3t = fr:,o

a.r-a#*

L7.Keith organised a raffle.Each ticket had a nurnber between 1 and 10O on it.If the ticket number is a factor of 24, the player wins S4.

If the ticket number is a multiple of 16, thie player wins s6.Keitt- sells the tickets for S1.50 each.Keith sold all of the winning tickets artd 74 of the losing tickets.Keith ga;ve 4Aoh of the profit made to charity"

Work out how mueh money Keith raised for charity.

hrr._-.

-I

FI

fatfus o[ 2J*', l, LI+/ Z4tLfirt, &rr 6 = I t^rinn\!] &'cket,

M*l!,phS u[ tS' 1. t6r 32-, tr&r 6 *r 80, q 6 = 6 wrr'n'r,rg Uc]4t]

1t++8+6= 8B '{ricturz+S sDlA

Pcul o.tP ; X X€ + =" &:Z6 x*6 a *363L +36=t6t

\ZL- 6g = E 6+ ?frh+l#'/, o[ 6b a E1-5,60

18.Gavin ran a hot dog stand at a football matchHot dog rolls are sold in packs of 6 for S1.25 each.Sausages are sold in jars of 8 for S3 each.Gavin bought 120 packs of hot dog rolls and 9O jars of sausages.He also had to pay the football club $SOO to set up his stand.He sold 43O hot dogs for fl3.35 each.

(a) Gavin's goal was to make more in profit than he paid to the football club.Did Gavin achieve his goal?

syent', i?A x 1,2*,5* f tSO lrctts)qOX 3 = EZlo (scu"sclgK)

lS0 +L1o+S00 E €q?fr

ffaarst = t+3Ox 3,3$a *l't'(o,5O

l44o.EO *c[2, , ES2fi,5O (nf:-t

Yesac

(b) Gavin uses one hot dog ro11 and one sausage to make a hot dog.How many hot dogs can Gavin make with the leftover ingredients?

l?.8X6 =1r€ rDlt5

Qox I & 1?-Q 3a,u50.-985

1x -l*3o:" Lqo

a

19.Hector buys and sells phones and tablets.He bought l2O phones for fl90 each.He bought 75 tablets for fiL4A each.

He sells phones for a price 3A% }irigkrer than he bought them for.He sells tablets for apnce 40%hidt\er than he bought them for.

Hector sold 93 phones and inade a profit of S1 145.

How many tablets did he seil?

f, : l]€ x W * E to rlao ( gvalu;)l5x lLl}a3 &torsoo (b*au+s)t$&6rQ+tO5grD -- *2tr3oo

toXl,3 = f tt't (Pyr'c.e,uF PLont)

lqoxt,4 e; Ena (v *e* sF ebtr*)

13X ti'Iz tlOr{81 (incornu fionn phones)

Tn<-orr7-sa Ltioo+t lrySa Etxr*tt5

13++9Gl08B\ = ttt/*6+ (i"Lo$te 6'nn +4bt4l7\

ti!(9+ tq6z 5q %buls sottr