PROFIT AND LOSS

TYPE 1
1. An article was bought for Rs.2000 and sold for
Rs. 2200. Find the gain or loss.

A. 200 profit
B. 200 loss
C. 100 loss
D. 100 profit
2. Dhruv buys an article for ₹ 500 and sells it for ₹
750. Find the profit got by Amit.
A. ₹ 100
B. ₹ 150
C. ₹ 200
D. ₹ 250
3. Cost price of a heater is ₹ 800. In what amount
must a person sell it to get a profit of 20%?
A. ₹ 1000
B. ₹ 1050
C. ₹ 900
D. ₹ 960
4. A person sells an article for ₹ 12750 at a loss of
15% . Find the cost price of that article.

A. ₹ 18000
B. ₹ 14000
C. ₹ 15000
D. ₹ 16000
5. A mobile phone is sold for Rs. 5060 at a gain of
10%. What would have been the gain or loss per
cent if it had been sold for Rs. 4370?
A. 85%
B. 80%
C. 95%
D. 90%
6. Alfred buys an old scooter for Rs. 4700 and
spends Rs. 800 on its repairs. If he sells the scooter
for Rs. 5800, his gain percent is:
A. 4 4/7%
B. 5 5/11%
C. 10%
D. 12%
7. A retailer buys a radio for Rs. 225 overhead
expenses are Rs. 15. He sold the radio for Rs. 300.
The profit per cent of the retailer is

A. 25
B. 26 ⅔
C. 20
D. 33 ⅓
8. There would be 10% loss ,if rice is sold at Rs.54
per kg. At what price per kg should it be sold to
earn a profit of 20% ?
A. Rs. 65
B. Rs. 70
C. Rs. 63
D. Rs. 72
9. By selling a computer for Rs 14400, a girl losses
10%. At what price must she sell it to get a profit of
15%?
A. Rs 18400
B. Rs 16500
C. Rs 15800
D. Rs 17600
10. By selling an article for Rs 4080, a person get a
profit of 6.25% . What will be his loss per cent, if he
sells the article for Rs 3072?
A. 10%
B. 12%
C. 18%
D. 20%
11. If the ratio of cost price and selling price of an
article be 5:4 , find the loss per cent.
A. 20%
B. 25%
C. 10%
D. None of these
12. For an item, if CP : SP = 10 : 11, find the profit
per cent.
A. 10%
B. 1%
C. 20%
D. 11%
13. The cost price of 40 articles is equal to the
selling price of 25 articles. Find the gain percent.

A. 65%
B. 60%
C. 65%
D. 75%
14. A man buys a cycle for $ 1400 and sells it at a
loss of 15%. What is the selling price of the cycle?

A. $ 1202
B. $ 1190
C. $ 1160
D. $ 1000
15. A person estimates his loss as 20% of the selling
price. What is his actual loss per cent ?

A. 13 ⅓ %
B. 16 ⅔ %
C. 21 ⅓ %
D. 10 ⅔ %
16. If selling price is doubled, the profit triples. Find
the profit percent.

A. 66 ⅔
B. 100
C. 105 ⅓
D. 120
17. The amount of profit earned by selling an
article for Rs 524 is equal to the amount of loss
suffered by selling it for Rs 452. Find the CP of the
article.
A. Rs. 480
B. Rs. 478
C. Rs. 484
D. Rs. 488
18. If the profit on selling an article for Rs. 425 is
the same as the loss on selling it for Rs. 355, then
the cost price of the article is
A. Rs. 410
B. Rs. 380
C. Rs. 400
D. Rs. 390
 19. On selling 17 balls at Rs. 720, there is a loss
equal to the cost price of 5 balls. The cost price of a
ball is:
A. Rs. 45
B. Rs. 50
C. Rs. 55
D. Rs. 60
20. By selling 66 metres of cloth, a person gains
equal to the selling price of 22 metres. Find his gain
%.
A. 20%
B. 25%
C. 50%
D. 55%
21. A vendor bought toffees at 6 for a rupee. How
many for a rupee must he sell to gain 20%?

A. 3
B. 4
C. 5
D. 6
22. Some articles were bought at 6 articles for Rs. 5
and sold at 5 articles for Rs. 6. Gain percent is:

A. 30%
B. 33 ⅓ %
C. 35%
D. 44%
23. A seller bought bananas at the rate of 6 for Rs.
15 and sold them at the rate of 4 for Rs. 12. What is
his profit percentage?

A. 21%
B. 16%
C. 24%
D. 20%
24. Vivek bought some items at the rate of 11 for
Rs. 10 and sold them for Rs. 11 for 10. What is the
profit percentage.

A. 21%
B. 25%
C. 15%
D. 16%
25. A man sold 20 apples for Rs. 1000 and gained
20%. How many apples did he buy for Rs. 1000 ?
A. 20
B. 22
C. 24
D. 25
26. By selling 12 oranges for Rs 60 , a man loses
25% . The number of oranges he has to sell for Rs
100 so as to gain 25% is-
A. 10
B. 11
C. 12
D. 15
 Answers
1. A 5. C 9. A 13. B 17. D 21. C 25. C
2. D 6. B 10. D 14. B 18. D 22. D 26. C
3. D 7. A 11. A 15. B 19. D 23. D
4. C 8. D 12. A 16. B 20. C 24. A
TYPE 2
1. The selling price of two articles is Rs. 200. If one
is sold at a profit of 10% and another is sold at a loss
of 10%, then find the overall profit or loss in deal.
A. 1% profit
B. 1% loss
C. 2% profit
D. 2% loss
2. A farmer sold two cows for Rs. 12000 each. In the
sale of the first cow, he incurred 20% profit and in
the sale of the second, he incurred 20% loss. What
is the gain or loss percentage in total?

A. 6% gain
B. 6% loss
C. 4% gain
D. 4% loss
3. Gurpreet sells two watches for 𝑅𝑠.1955 each,
gaining 15% on one and losing 15% on the other.
Find her gain or loss percent in the whole
transaction.
A. 5.16% gain
B. 8.11% loss
C. 2.50% loss
D. 2.25% loss
4. Two articles were sold at Rs. 480 each. On one,
he gains 20% and on the other, he loses 20%. How
much does he gain or lose in the whole
transaction?
A. 2% loss
B. 4% loss
C. 4% gain
D. 2% gain
5. Abhay sells a motor bike to Subhash at a profit of
15% and Subhash sells it to Dinesh at a loss of 5% .
Calculate overall profit or loss per cent in this
transaction.
A. 9.25%
B. 10%
C. 11.25%
D. 9%
6. Ravi purchased two articles for Rs. 1,500 each. He
sold then gaining 6% on one and losing 4% on the
other. His gain/loss percent in the whole
transaction is:
A. Gain, 2%
B. Loss, 1%
C. Gain, 1%
D. Loss, 1 ½%
7. Two toys are sold at Rs. 504 each. One toy brings
the dealer a gain of 12% and the other at a loss of
4%. The gain or loss percent by selling both articles.
A. 3(5/13)% profit
B. 3(5/13)% loss
C. 7(5/13)% profit
D. 5(3/15)% profit
8. Two articles are sold for Rs 2500 is there is 20%
profit on one item and 25% loss on the other. What
is the profit or loss percentage in the whole deal?

A. 5% gain
B. 8% loss
C. 7 9/11% loss
D. 9 7/11% gain
9. Two horses were purchased in 2000. One was sold
at 15% profit and the other was sold at 15% loss.
What is the total profit or loss percentage in the
entire deal?
A. 15% loss
B. 2.25% loss
C. 15% profit
D. No profit no loss
10. Abhi bought two watches for 11750. One was
sold at 25% profit and the other was sold at 25%
loss. What is the total profit or loss percentage in
the entire transaction?
A. 10% loss
B. No profit no loss
C. 12% profit
D. 8% loss
11. A man purchases two fans for Rs. 2160. By
selling one fan at a profit of 15% and the other at a
loss of 9% he neither gains nor losses in the whole
transaction. Find the cost price of each fan.
A. 810,1250
B. 910,1350
C. 810,1350
D. 1000,1200
12. There are two watches of cost Rs. 800. One is
sold at a profit of 16% and the other at a loss of 8%.
If there is no loss or no gain in the whole
transaction, the cost price of the watch on which
the shopkeeper gains is?

A. 320
B. 480
C. 450
D. 380
13. A merchant buys two items for Rs 7500. He sells
one item at a profit of 16% and the other item at
14% loss. In the deal he makes neither any profit
nor any loss. What is the difference between the
selling price of both the items ? (in Rs)

A. 625
B. 600
C. 620
D. 650
14. A man purchased a table and a chair for Rs
2000. He sold the table at a profit of 20% and the
chair at a profit of 30%. His total profit was 23%.
Find the cost price of the table.
A. 1400
B. 600
C. 1200
D. 800
15. A man buys a table and a chair for Rs.500. He
sells the table at a loss of 10% and the chair at a
gain of 10%. He still gains Rs. 10 on the whole. The
cost price of chair in rupees is

A. 200
B. 250
C. 300
D. 350
16. Two electronic musical instruments were
purchased for Rs.8000. The first was sold at a profit
of 40% and the second at a loss of 40%. If the sale
price was the same in both the cases, what was the
cost price of the electronic musical instruments?
A. Rs.2000, Rs.5000
B. Rs.2200, Rs.5500
C. Rs.2400, Rs.5000
D. Rs.2400, Rs.5600
 Answers
1. B 5. A 9. D 13. C
2. D 6. C 10. B 14. A
3. D 7. A 11. C 15. C
4. B 8. C 12. B 16. D
TYPE 3
1. Profit obtained on selling an article for Rs. 540 is
equal to the loss incurred on selling the article for
Rs. 370. If selling price is Rs. 910, then what is the
profit percentage?
A. 16 ⅔
B. 33 ⅓
C. 50
D. 100
2. If 5% more is gained by selling an article for
Rs.350 than by selling it for Rs.340, what is the cost
of the article?

A. Rs.50
B. Rs.160
C. Rs.200
D. Rs.225
3. 6 % more is gained by selling a coat for Rs.1425
than by selling it for Rs.1353. The cost price of the
coat is ?
A. Rs.1000
B. Rs.1250
C. Rs.1500
D. Rs.1200
4. An article was sold at 16% gain. Had it been sold
for Rs.200 more, the gain would have been 20%.
Then the cost price of the article is:
A. Rs 5000
B. Rs.5200
C. Rs.4800
D. Rs.4500
5. An article is sold at a gain of 15% . Had it been
sold for Rs. 27 more, the profit would have been
20% . The cost price of the article is ?
A. Rs. 500
B. Rs. 700
C. Rs. 540
D. Rs. 545
6. An table is sold at a loss of 10%. Had it been sold
for Rs 90 more, there would have been a gain of 5%.
The original sale price of the table is :
A. Rs. 500
B. Rs. 520
C. Rs. 540
D. Rs. 580
7. When an article is sold at a gain of 20%, it yields
Rs 60 more than when it is sold at a loss of 20%.
The cost price of the article is-

A. Rs 200
B. Rs150
C. Rs140
D. Rs120
8. A tradesman sold an article at a loss of 20% .If the
selling price had been increased by 100
rupees,there would have been a gain of 5%. What
was the cost price of the article?
A. Rs. 350
B. Rs. 430
C. Rs. 400
D. Rs. 600
9. A trader sold an article at a gain of 20%. Had he
purchased it for 40% more and sold for Rs. 24 less,
then he would have incurred a loss of 20%. What is
the cost price (in Rs.) of the article?

A. 150
B. 300
C. 450
D. 600
10. Raghav sells a watch at a gain of 15%. If he had
bought it at 10% less and sold it for Rs.4 less, he
would have gained 25%. The C.P. of the watch is ?
A. Rs. 140
B. Rs. 150
C. Rs. 160
D. Rs. 185
11. A man sells an article at a gain of 10% . If he
had bought it at 10% less and sold it for Rs. 132
less, he would have still gained 10%. What is the
cost price of the article?
A. Rs. 1700
B. Rs. 1500
C. Rs. 1100
D. Rs. 1200
12. Rakhi sells an table at a profit of 25%.If she had
bought it at 10% les and sold it for Rs. 7 less. He
would have gained 35%. Find the cost price of the
table.

A. 200
B. 250
C. 500
D. 700
13. A man sells an article at a profit of 25% if he
had bought it 20% less and sold it for ₹10.50 less,
he would have gained 30%. find the cost price of
the article.
A. Rs. 25
B. Rs. 50
C. Rs. 75
D. Rs. 100
14. A man sells an article at 5% above its cost price.
If he had bought it at 5% less than what he paid
for it and sold it for Rs. 2 less, he would have
gained 10%. Find the cost price of the article.

A. Rs. 300
B. Rs. 400
C. Rs. 600
D. Rs. 450.5
15. A businessman bought an article and sold it at a
loss of 5% . If he had bought it for 10% less and sold
it for Rs. 33 more, he would have had a profit of
30% . The cost price of the article is ?

A. Rs. 330
B. Rs. 155
C. Rs. 150
D. Rs. 300
16. A man sold a bicycle at 5 percent profit if the
cost had been 30 percent less and Rs 63 less he
would have made made a profit of 30% what is the
CP of the article.
A. 330
B. 440
C. 450
D. 350
17. An article was sold at a profit of 12%. If the cost
price would be 10% less and selling price would be
Rs. 5.75 more, there would be a profit of 30% then
at what price should it be sold to make a profit of
20%?
A. Rs. 115
B. Rs. 120
C. Rs. 138
D. Rs. 215
 Answers
1. D 5. C 9. B 13. B 17. C
2. C 6. C 10. C 14. B
3. D 7. A 11. D 15. C
4. A 8. C 12. A 16. C
DISCOUNT
1. What discount will be equivalent to two
successive discounts of 20% and 15%?

A. 35%
B. 32.5%
C. 33.5%
D. 32%
2. Find the equivalent discount of two consecutive
discounts of 10% and 15%.
A. 25%
B. 23.5%
C. 22.5%
D. 20%
3. The single discount equivalent to the discount
series of 20% , 10% and 5% is

A. 35%
B. 31.6%
C. 32.6%
D. 32%
4. Find the single discount equivalent to successive
discounts of 25% and 20%.

A. 43.5
B. 42.5
C. 41
D. 40
5. The marked price of an article was Rs. 800. It was
sold for Rs 680. Find the rate of discount.

A. 12%
B. 8%
C. 10%
D. 15%
6. The price of a sweater was slashed from Rs. 960 to
Rs.816 by a shopkeeper in the winter season. Find
the rate of discount given by him.

A. 10%
B. 15%
C. 5%
D. 33 ⅓%
7. After allowing a discount of 8% on a toy, it is sold
for Rs. 216.20. Find the marked price of the toy.

A. 230
B. 330
C. 235
D. 250
8. The list price of TV is Rs. 2300 and discount
series is found to be 25% and 10%. Then the selling
price of TV is
A. Rs.1255.5
B. Rs.1525.5
C. Rs.1552.5
D. Rs.1555.2
9. The marked price of a bicycle is Rs 1000. A
shopkeeper allows a discount series of two discounts
of 5% and 10%. What is the selling price of the
bicycle?
A. Rs. 850
B. Rs. 920
C. Rs. 890
D. None of these
10. What is the difference between a discount of
25% to that of two successive discount of 20% and
10% , applied to a bill of Rs. 50000?

A. Rs. 2250
B. Rs. 1000
C. Rs. 1500
D. Rs. 1800
11. The difference between a discount of 25% and
two successive discounts of 15% and 10% on a
certain bill was Rs. 25.Find the amount of the bill.

A. Rs. 3,333.33
B. Rs. 2,500
C. Rs. 833.33
D. Rs. 1,666.67
12. The marked price of an article is Rs 450. Find
the selling price of the article if a discount of 14% is
given.

A. Rs 381
B. Rs 375
C. Rs 389
D. Rs. 387
13. A dealer allows a discount of 15%. A customer
pays an amount of Rs. 318.75 for an article. At what
price is the article listed ?
A. Rs. 366.50
B. Rs. 375.00
C. Rs. 350.00
D. Rs. 431.25
14. The market price of a water cooler is Rs 4650.
The shopkeeper offers an off- season discount of
18% on it. Find its selling price (in Rs).

A. 3813
B. 3823
C. 3873
D. 4013
15. On selling a cooler, a shopkeeper allows a
discount of 10% and gets a profit of 10% . If marked
price of the cooler be Rs 1100, find it's cost price.

A. Rs. 900
B. Rs. 1000
C. Rs. 1050
D. Rs. 980
16. A discount of 10% is given on the marked price
of an article. If its marked price be 30% more than
its cost price, find the profit per cent.

A. 17%
B. 12%
C. 15%
D. 19%
17. A fan is listed at Rs 150 with a discount of 20%.
What additional discount must be offered to the
customer to bring the net price to Rs 108.
A. 11 1/9%
B. 8%
C. 4%
D. 10%
18. If a shopkeeper marks the price of goods 50%
more than their cost price and allows a discount of
40%, what is his gain or loss percent ?
A. Gain of 10%
B. Loss of 10%
C. Gain of 20%
D. Loss of 20%
19. A trader marked the selling price of an article at
10% above the cost price. At the time of selling, he
allows certain discount and suffers a loss of 1%. He
allowed the discount of :

A. 11%
B. 10%
C. 9%
D. 10.5%
20. A trader marks the sale price 25% more on cost
price and gives a 10% discount at the time of
selling. The gain % is-
A. 12 ½%
B. 12 ⅓ %
C. 11 ½ %
D. 12%
21. A tradesman allows a discount of 15% on the
marked price. How much above the cost price must
he mark his goods as to gain 19%?
A. 34%
B. 40%
C. 25%
D. 30%
22. A dinner set is quoted for Rs. 1500. A customer
pays Rs. 1173 for it. If the customer got a series of
two discounts and the rate of first discount is 15%
then the rate of second discount was

A. 15%
B. 7%
C. 9%
D. 8%
23. The marked price of a watch is Rs 1000. A
retailer buys it at Rs 810 after getting two successive
discounts of 10% and another rate which is
illegible. What is the second discount rate?
A. 15%
B. 10%
C. 8%
D. 6.50%
24. Two shopkeepers announce the same price of
Rs. 700 for a sewing machine. The first offers
successive discounts of 30% and 6% while the
second offers successive discounts of 20% and 16%.
The difference in their selling price is :
A. Rs. 9.8
B. Rs. 16.8
C. Rs. 22.4
D. Rs. 36.4
25. A tradesman is marketing his goods 20% above
the cost price of the goods. He gives 10% discount
on cash payment, find his gain percent.
A. 12%
B. 8%
C. 15%
D. 18%
 Answers
1. D 5. D 9. D 13. B 17. D 21. B 25. B
2. B 6. B 10. C 14. A 18. B 22. D
3. B 7. C 11. D 15. A 19. C 23. B
4. D 8. C 12. D 16. A 20. A 24. A
 DISHONEST
SHOPKEEPER
1. A dishonest shopkeeper claims to sell his goods at
cost price but uses a weight of 800 gm in place of
the standard 1 kg weight. What is his gain percent?

A. 25%
B. 20%
C. 15%
D. None of the above.
2. A dishonest shopkeeper sells goods at its cost
price but uses a weight of 960gm for one kg
weight. Find his gain percent.
A. 5(1/6)%
B. 7(5/6)%
C. 4(1/6)%
D. 8(5/6)%
3. A dishonest shopkeeper sells goods at its cost
price but uses a weight of 920gm for one kg
weight. Find his gain percent( round up to two
decimal places).
A. 7.90%
B. 8.70%
C. 8.50%
D. 7.80%
4. A dishonest dealer professes to sell his good at
C.P, but uses a weight of 900 grams for the kg
weight. Find his gain percent.
A. 9 1/11%
B. 11 1/9%
C. 40%
D. 10%
5. A dishonest trader claim to sell his goods at cost
price but uses false weight of 950 g for one kg
weight. Find his gain per cent.
A. 5 5/19%
B. 5 9/19%
C. 5 11/19%
D. 5 17/19%
6. A retailer profess to sell his goods at the cost
price. If using a false weight, he still gains 25% ,
find the weight he uses in place of 1 kg.

A. 200g
B. 600g
C. 700g
D. 800g
7. A retailer profess to sell his goods at the cost
price. If using a false weight, he still gains 4(1/6)% ,
find the approx. weight he uses in place of 1 kg.

A. 900g
B. 920g
C. 960g
D. 800g
8. A man sells rice at 8% profit and uses weight 25%
less than the actual measure.What is his percentage
profit?
A. 44%
B. 41%
C. 23%
D. 36%
9. A dishonest grocer sells 1 kg of rice at a profit of
10% and also uses weights which are 20% less than
the marked weight. The total gain earned by him
will be

A. 35%
B. 25%
C. 30%
D. 10%
10. A dishonest shopkeeper, at the time of selling
and purchasing, weighs 10% less and 20% more per
kilogram respectively. Find the percentage profit
earned by treachery. (Assuming he sells at Cost
Price)

A. 30%
B. 20%
C. 25%
D. 33.33%
11. A dishonest dealer sells his goods at 10% loss on
cost price and uses 30% less weight. What is his
profit or loss per cent ?
A. 28 4/7% loss
B. 28 3/7% gain
C. 28 3/7% loss
D. 28 4/7 % gain
12. A cloth merchant says that due to slump in the
market, he sells the cloth at 10% loss but he uses a
false meter scale and actually gains 15%.Find the
actual length of the scale.

A. 78.25 cm
B. 75cm
C. 85cm
D. 72.25cm
13. A dishonest shopkeeper sells millet at Rs. 20 per
kg which he has bought at Rs. 16 per kg and he is
giving 800 gm instead of 1000 gm. Find his actual
profit percentage.
A. 52.12%
B. 58.36%
C. 54.25%
D. 56.25%
14. A grocer claims that he is selling sugar at Rs.
48/Kg, which costs him Rs. 50/kg, but he is giving
900g instead of 1000 g. What will be the
approximate percentage profit?
A. 7.5%
B. 5.5%
C. 8.5%
D. 6.7%
15. A dishonest shopkeeper sells mangoes at Rs.
30/Kg bought at Rs. 20/kg and he is giving 800g
instead of 1 Kg. The shopkeeper’s actual profit
percentage is:

A. 75%
B. 37.5%
C. 50%
D. 87.5%
 Answers
1. A 5. A 9. A 13. D
2. C 6. D 10. D 14. D
3. B 7. C 11. D 15. D
4. B 8. A 12. A