Profit and Loss

Type I – Basic Questions A.) Rs.3300 B.) Rs.2600

C.) Rs.2535 D.) Rs.3380
1) The owner of a furniture shop charges his customers
155 more than the cost price. If a customer paid Rs.9039/- 9) What profit percent is made by selling an article at a
for a sofa set, then what is the cost price of the sofa set? certain price, if by selling at 2/3rd of that price, there would
A.) Rs.7680/- B.) Rs.7860/- be a loss of 20% ?
C.) Rs.7880/- D.) Rs.7660/- A) 30 % B) 25 %
C) 15 % D) 20 %
2) Kamala 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 10) If selling price is doubled, the profit triples. Find the
amount did she pay to the shopkeeper? profit percent?
A.) 1400 B.) 1505 A) 100% B) 200%
C.) 1055 D.) 1005 C) 300% D) 400%

3) If books bought at prices ranging from Rs 200 to Rs 350 11) The percentage profit earned by selling an article for
are sold at prices ranging from Rs 300 to Rs 425, what is Rs. 1920 is equal to the percentage loss incurred by
the greatest possible profit that might be made in selling selling the same article for Rs. 1280. At what price should
eight books. the article be sold to make 25% profit?
A) 800 B) 1200 A) Rs. 2000 B) Rs. 2200
C) 1600 D) 1800 C) Rs. 2400 D) Data inadequate

Type II – P% / L% 12) The profit earned by selling on article for 900 is double
the loss incurred when the same article is sold for 450. At
1) Alfred buys an old scooter for Rs. 4700 and spends Rs. what price should the article be sold to make 25% profit?
800 on its repairs. If he sells the scooter for Rs. 5800, his A.) 750 B.) 800
gain percent is: C.) 600 D.) none of these
4 5
A).4 % B)5 % C)10% D)12%
7 11
13) A trader sold an article at a loss of 5% but when he
increased the selling price by Rs.65 he gained 3.33% on
2) Bhajan Singh purchased 120 reams of paper at Rs 80
the cost price. If he sells the same article at Rs. 936, what
per ream. He spent Rs 280 on transportation, paid octroi
is the profit percentage?
at the rate of 40 paise per ream and paid Rs 72 to the
A) 15% B) 16.66%
coolie. If he wants to have a gain of 8 %, what must be the
C) 20% D) data insufficient
selling price per ream?
A) 90 B) 89 C) 87.48 D) 86
14) The sale price of an article including the sales tax is
Rs. 616. The rate of sales tax is 10%. If the shopkeeper
3) If the cost price is 25% of selling price. Then what is the
has made a profit of 12%, then the cost price of the article
profit percent.
is :
A) 150% B) 200% C) 300% D) 350%
A) Rs. 560 B) Rs. 530
C) Rs. 500 D) Rs. 514
4) The cost price of an item is two-third of its selling price.
What is the gain/loss percent on that item?
15) A man bought an article and sold it at a gain of 5 %. If
A.) 45 B.) 50 C.) 35 D.) 54
he had bought it at 5% less and sold it for Re 1 less, he
would have made a profit of 10%. The C.P. of the article
5) Manoj incurred a loss of 40% on selling an article for
was
5700. What was the cost price of the article?
A) Rs 100 B) Rs 150
A.) 7725 B.) 9080
C) Rs 200 D) Rs 250
C.) 8250 D.) 9500
16) A loss of 10% is made by selling an article. Had it been
6) A person sells an item at a profit of 42%. If the customer
sold for Rs 75 more, there would have been a profit of 5%.
pays 12496 for that item what is the net profit (in ) of the
What would be the selling price of the article if it is sold at
person?
15% profit?
A.) 3284 B.) 3416
A) Rs 475 B) Rs 520 C) Rs 575
C.) 3696 D.) 3806
D) Rs 425 E) None of these
7) A person incurs a loss of 5% be selling a watch for Rs.
17) In a certain store, the profit is 320% of the cost. If the
1140. At what price should the watch be sold to earn 5%
cost increases by 25% but the selling price remains
profit.
constant, approximately what percentage of the selling
A) Rs.1200 B) Rs.1230
price is the profit?
C) Rs.1260 D) Rs.1290
A) 30% B) 70% C) 100% D) 250%
8) 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%?
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Type III – Equation Based / Rate given D) 100% profit E) 150 % profit

1) The selling price of 5 articles is the same as the cost 5) By selling 12 oranges for one rupee, a man loses 20%.
price of 3 articles. The gain or loss is How many for a rupee should he sell to gain 20%?
A.) 20% gain B.) 25% gain A) 5 B) 6 C) 8 D) 7
C.) 33.33% loss D.) 40% loss
6) A man buys a certain number of oranges at 20 for Rs.
2) If the cost price of 50 oranges is equal to the selling 60 and an equal number at 30 for Rs. 60. He mixes them
price of 40 oranges, then the profit per cent is and sells them at 25 for Rs. 60. What is the gain or loss
A.) 5 B.) 10 C.) 20 D.) 25 percent?
A) 4% Loss B) 6% Loss
3) The cost price of 20 articles is the same as the selling C) 4% Profit D) 6% Profit
price of x articles. If the profit is 25%, then the value of x
is: Type V – Chain Rule
A)15 B)16 C)18 D)25
1) A’ sells an item to “B” at a profit of 40% and “B” sells it
4) By selling 20 articles, a person gains CP of 5 articles. to “C” at a profit of 50%. Find the resultant profit percent.
Find the profit% incurred by him. A.) 45% B.) 90% C.) 110% D.) 180%
A) 33 1/3% B) 25% C) 20%
D) 16 2/3% E) None of these 2) 'A' sold an article to 'B' at a profit of 20%. 'B' sold the
same article to 'C' at a loss of 25% and 'C' sold the same
5) By selling 25 metres of cloth a trader gains the selling article to 'D' at a profit of 40%. If 'D' paid Rs 252 for the
price of 5 metres of cloth. The gain percent of the trader in article, then find how much did 'A' pay for it?
% is A) Rs.196 B) Rs.210
A) 25% B) 20% C) 28% D) 29% C) Rs.200 D) Rs.235

6) On selling 17 balls at Rs. 720, there is a loss equal to 3) A sold a watch to B at 10% loss. B sold it to C at 11.11%
the cost price of 5 balls. The cost price of a ball is ? loss and c again sold it to A at 12.5% profit. How much
A) Rs. 55 B) Rs. 60 profit/loss % is incurred by A?
C) Rs. 65 D) Rs. 70 A) 10% profit B) 12% profit C) 10% loss
D) 15% loss E) No profit no loss
7) The price of two tables and three chairs is Rs.5600.
What will be the price of six tables and nine chairs? 4) A manufacturer sells a pair shoes to a wholesale dealer
A.) 16800 B.) 11200 at a profit of 20 %. Wholesaler sells them to retailer at a
C.) 22400 D.) None of these profit of 25 %. The shoes are again sold to the customer
for Rs. 50.50, thereby earning a profit of 30 %. Find the
8) The cost of 36 Microwaves and 12 Cookers is cost price of manufacturer.
Rs.84126. What is the cost of 6 microwaves and 2 A) Rs. 20.36 B) Rs. 22.90
Cookers? C) Rs. 25.89 D) Rs. 30.50
A.) Rs.14021 B.) Rs.15291
C.) Rs.16131 D.) Cannot be determined Type VI- Partial Selling

Type IV – 2 varieties mixed / Different rate purchase 1) If goods be purchased for Rs.450 and 1/3 is sold at a
and sell loss of 10%. At what gain % should the remainder is sold
to has to gain 20% on the whole transaction?
1) Bananas are bought at 4 for Rs.5/- and sold at 5 for A) 35% B) 28% C) 22% D) 19%
Rs.4/-. Find the gain or loss percentage?
A.) 36%gain B.) 36%loss 2) A sweet seller sells 3/5th part of sweets at a profit of
C.) 40%gain D.) 40%loss 10% and remaining at a loss of 5%. If the total profit is Rs
1500, then what is the total cost price of sweets ?
2) Balls are bought at 9 for Rs.10/- and sold at 10 for Rs.9/- A) Rs.37,500 B) Rs.36,400
Find the gain or loss percentage? C) Rs.37,415 D) Rs.36,500
A.) 19%gain B.) 19%loss
C.) 18%loss D.) 18%gain 3) The cost price of the two cows is same then one of them
is sold at 10 % profit while another at 10 % loss Find
3) A man bought some toffees at the rate of 3 toffees per overall profit or loss % in this transaction.
Re. and same number at the rate of 2 toffees per Re. He A) 10 % Profit B) 10% Loss
mixes them and sold 3 toffees for Rs 2. Find his C) No Profit, No Loss D) 1% Loss
profit/loss% in the whole transaction.
A) 20% loss B) 20% profit C) 60% loss 4) A merchant buys two items for Rs. 7500. One item he
D) 60% profit E) None of these sells at a profit of 16% and the other item at 14% loss. In
the deal, the merchant makes neither any profit nor any
4) A man buys some toffees at 3 in Re. 1 and some at 3 in loss. What is the difference between the selling price of
Rs 2 and sold them at 1 in Re. 1. Find his gain or loss %. both the items?
A) 200% loss B) 200% profit C) 100% loss A) Rs. 620 B) Rs. 654 C) Rs. 725 D) Rs. 747

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 6) A trader sold his goods at 20% profit and along with this
5) A boy bought camel and carriage for Rs. 5000. He sells he used weights of 800 gm instead of 1 kg. Find his total
the camel at a gain of 20% and the carriage at a loss of profit%.
10%. If he gains 3% on the whole, then find the cost of the A) 40% B) 45% C) 50%
camel. D) 55% E) 60%
A) 2170 B) 2400 C) 2315 D) 2600
7) A shopkeeper cheats to the extent of 10% while buying
6) A man sold two plots for Rs. 5, 00,000 each. On one he and selling, by using false weights. His total gain is.
gains 15 % while on the other he losses 15%. Find how A) 20% B) 21% C) 22% D) 23%
much does he gain or lose in the transaction.
A) 1.5 % B) 2 % C) 2.25 % D) 2.50% Type VIII – Discount

7) A person sold two cows each for Rs.9900. If he gained 1) A dealer marks price of all the goods at 30 % above the
10% on one and lost 20% on the other, then which of the cost price and assumes that he will make a profit of 15 %
following is true? if he offers a discount of 15%. Find what will be his actual
A) He Gained Rs. 200 B) He lost Rs. 200 profit on sales?
C) He neither gained nor lost D) None of the above A) 15 % B) 30 % C) 12.50 % D) 10.50 %

8) Two mobiles are sold at same price. If on one, a profit 2) Deepa bought a calculator at 30% discount on the listed
of 25% is made and on another, a loss of 10% is incurred, price. Had she not got the discount, she would have paid
find the net profit/loss%. Rs. 82.50 extra. At what price did she buy the calculator?
A) 10 62/99% B) 15 12/33% C) 6 14/23% A) Rs. 192.50 B) Rs. 275 C) Rs. 117.85
D) 4 28/43% E) 15 1/5% D) Can't be determined E) None of these

9) A man sells one camera A for Rs. 7500 at a gain of 20% 3) A vendor lists his articles 20% above cost price and
and another camera B for Rs. 8550 at a loss of 5 %. Find allows a discount of 10% on cash payment. His gain
his total loss or gain%. percent is:
A) 2.7 % B) 5.2 % C) 4.2 % D) 5.1 % A) 2% B) 3% C) 5% D) 8%

10) Raghu earns 25% on an investment but loses 10% on 4) A shopkeeper gains 17% after allowing a discount of
another investment. If the ratio of the two investment is 10% on the marked price of an article. Find his profit
3:5. What is the gain or loss on two investments taken percent if the article is sold at marked price allowing no
together? discount.
A) 1.251 % B) 3.125 % C) 7.21 % D) 9.451 % A) 30% B) 37% C) 23% D) 27%

Type VII – Dishonest Seller 5) A shopkeeper buys some vegetables at a discount of

15% on label price if he want to make profit of 20% after
1) A dishonest dealer sells his goods at the cost price, but allowing a discount of 10%, then buy what % should his
he uses a weight of 900 gm for 1kgwt. What is his gain per marked price be greater than the original labelled price?
cent? A) 12.33% B) 17.8% C) 13.33% D) 23.67%
A) 10% B) 11% C) 11 1/9% D) 10 1/9%
6) Two successive discounts of 10% and 5% are
2) A shopkeeper sells his goods at cost price but uses a equivalent to a single discount of :
weight of 970 grams for a kg. Weight. What is his gain A)14% B)14.25% C)14.50% D)15%
percent?
A) 5.08 % B) 4.23 % C) 3.26 % D) 3.09 % 7) The successive discount of 15%, 20% and 25% on an
article is equivalent to the single discount of
3) A dishonest shopkeeper sells his grocery using weights A) 60% B) 47% C) 49% D) 40%
10 % less than true weights and makes a profit of 30 %.
Find his total gain percentage. 8) An article is marked 50% over its cost price. Two
A) 49.4 % B) 44.44 % successive discounts of 12% and 13(1/2) % are allowed
C) 55.55 % D) 39.88 % on the marked price of the article. Find the profit or loss
percent after selling at discount.
4) A dealer sells his goods at cost price. If by using false A) 8% B) 10% C) 13% D) 14.18% E) 7.4%
8
weights he gains 4 %, then find the weight he uses for 1
23 9) A trader marked his goods at such a price that after
kg. allowing a discount of 12(1/2) % for cash payment, he
A) 968.53 gm B) 992.56 gm makes a profit of 20% . What is the marked price of the
C) 958.34 gm D) 950.50 gm good which costs Rs. 210?
A) Rs.300 B) Rs.210 C) Rs.470
5) Sambhu buys rice at Rs. 10/kg and puts a price tag on D) Rs. 288 E) Rs.200
it so as to earn a profit of 20%. However, his faulty balance
shows 1000 gm when it is actually 800 gm. What is his 10) Fanta and Coke, there are two companies, selling the
actual gain percentage? packs of cold-drinks. For the same selling price Fanta
A) 50% B) 25% C) 75% D) 60% gives two successive discounts of 10% and 25%. While

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Coke sells it by giving two successive discounts of 15% 15) A shopkeeper gives 3 articles free on purchase of 5
and 20%. What is the ratio of their marked price? articles. he also allows a discount of 20% still earns a profit
A) 110:111 B) 120:125 of 25% find CP:MP?
C) 131:133 D) 136:135 E) 140:141 A) 3:1 B) 2:3 C) 3:2 D) 2:5

11) After getting two successive discounts Shalini got a 16) Cost price of 12 oranges is equal to the selling price of
shirt at Rs. 136 whose marked price is Rs. 200. If the 9 oranges and the discount on 10 oranges is equal to the
second discount is 15% find the first discount. profit on 5 oranges. What is the percentage point
A) 12.5% B) 15% C) 25% D) 20% difference between the profit percentage and discount
percentage?
12) After getting two successive discounts Apurva got a A) 20 B) 22.22 C) 16.66
jeans at Rs. 714 whose marked price is Rs. 1000. If the D) 15 E) None of These
second discount is 15% find the first discount.
A) 12.5% B) 15% C) 16% Type IX – Miscellaneous Examples
D) 20% E) None of these
1) A reduction of 20% in the price of rice enables a person
13) A trader buys goods at 20% discount on marked price. to buy 2 kg more for Rs 30. Find the reduced and the
If he wants to make a profit of 25% after allowing a original price per kg of rice.
3 3
discount of 20%, by what percent should his marked price A) Rs 3 and 3 per kg B)Rs. 3 and 2 per kg
4 4
be greater than the original marked price? 5
A) 15% B) 65% C) 25% D) 20% C) Rs. 2 and 2 per kg D) Can't be de...
4

14) A shopkeeper gives 4 items free of cost with every 21 2) A 10% hike in the price of pulses forces a person to
items and a discount of 25% is also offered to the trader purchase 2kg less for Rs 110. Find the new and the
and the shopkeeper still gains 55% profit, Find the ratio of original prices of the pulses.
MP: CP. A) Rs 2 per kg B) Rs 5 per kg
A) 43:123 B) 53:155 C) Rs 7 per kg D) Rs 10 per kg
C) 63:155 D) 73:153

Answers

Type I 10 A 7 A Type VI 4 C 11 D
Q.No. Ans 11 A 8 A 1 A 5 A 12 C
1 B 12 B Type IV 2 A 6 C 13 C
2 C 13 C 1 B 3 C 7 B 14 C
3 D 14 C 2 B 4 A Type VIII 15 D
Type II 15 C 3 D 5 A 1 D 16 B
1 B 16 C 4 D 6 C 2 A Type IX
2 A 17 B 5 C 7 D 3 D 1 A
3 C Type III 6 A 8 D 4 A 2 B
4 B 1 D Type V 9 B 5 C
5 D 2 D 1 C 10 B 6 C
6 C 3 B 2 C Type VII 7 C
7 C 4 B 3 E 1 C 8 D
8 D 5 A 4 C 2 D 9 D
9 D 6 B 3 B 10 D

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