Profit and Loss Question Sheet 2
- Jul 13, 2025
- 4 min read
Updated: Jul 14, 2025

Table Of Content
Practice Question
Answer Key
Q.1 A merchant deducts 10% for cash from the marked price of an article and still gains 10%. The CP of the article which he marks at Rs. 66 is
a.Rs.72
b.Rs.48
c.Rs.54
d.Rs.62
Q.2 By selling a watch at a profit of 10%, a man got Rs.15 more than half its price. What is the price of the watch?
a.Rs.10
b.Rs.15
c.Rs.25
d.Rs.5
Q.3 To gain 10% on selling sample milk at the cost price of pure milk, the quantity of water to be mixed with 50 kg. of pure milk is
a.2.5 kg
b.5 kg
c.7.5 kg
d.10 kg
Q.4 A dealer offers a cash discount of 25% and still makes a profit of 20%, even when he offers one article free on buying 4 articles. How much percentage above the cost price were his articles listed?
a.33.33%
b.80%
c.75%
d.100%
Q.5 A merchant sold an article for Rs.75 at a profit percent equal to its cost price. The cost price of the article was:
a.Rs.45
b.Rs.50
c.RS.54
d.Rs.60
Q.6 A discount of 30% on the cost price is equal to a discount of 20% on the selling price. At what percentage discount will be selling price equal the cost price?
a.25
b.33.33
c.50
d.66.66
Q.7 The cost prices of articles A and B are Rs.1200 and Rs.1600 respectively. The selling price of article A is Rs.1380 and the total profit on selling both the articles is 25%. What is the profit percentage on selling of article B?
a.29.5
b.27.5
c.35.5
d.32.5
Q.8 A man sells two articles at Rs.9975 each. He gains 5% on one article and loses 5% on the other. Find his overall gain or loss.
a.Profit Rs.50
b.Loss Rs.50
c.Loss Rs.60
d.Profit Rs.60
Q.9 Some toffees were bought at a price of 11 for Rs. 10 and the same number at a price of 9 for Rs. 10. If the whole lot was sold at one rupee per toffee, then the gain or loss in the whole transaction was
a.Gain of 1%
b.Loss of 1%
c.Neither gain nor loss
d.None of these
Q.10 A dishonest dealer professes to sell his good at cost price but uses a false weight and thus gains 20%. For a kilogram he uses a weight of:
a.700g
b.750g
c.800g
d.None of these
Q.11 Amit sold an article for Rs.7,000 and incurred a loss. Had he sold it for Rs.8,750, his gain would have been three-fourth of the amount of loss that he incurred. At what price should he sell the article to get 10% profit?
a.Rs.8,800
b.Rs.8,400
c.Rs.8,000
d.Rs.7,800
Q.12 The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 30 % profit
a.2000
b.2400
c.2080
d.Data insufficient
Q.13 A person sells a table at a profit of 10%. If he had bought the table at 5% less cost and sold for Rs.80 more, he would have gained 20%. The cost price of the table is
a.Rs.3200
b.Rs.2500
c.Rs.2000
d.Rs.200
Q.14 If Manoj purchases 324 toffees for Rs. 486, then how many toffees should he sell for ₹90 to earn 50% profit?
a.40
b.60
c.45
d.55
Q.15 A dishonest dealer professes to sell his goods at cost price but uses a weight of 875 gms for the kilogram weight. His gain in percentage is
a.17%
b.103/7 %
c.100/7%
d.14%
Q.16 A shopkeeper sold his goods at half the list price and thus lost 20%. If he had sold on the listed price, his gain percentage would be
a.60%
b.20%
c.72%
d.35%
Q.17 Rama mixes 20% of kerosene to his petrol and then he sells the whole mixture at the price of petrol. If the cost price of the kerosene is 40% of the cost price of petrol, What is the net profit percentage?
a.11.11%
b.11.5%
c.12.5%
d.9.5%
Q.18 The percent profit made when an article is sold for Rs.78 is twice as much as when it is sold for Rs.69, the cost price of the article is?
a.Rs.60
b.Rs.50
c.Rs.55
d.Rs.70
Q.19 On an item with marked price Rs.1000, a customer has a choice between successive discounts of 5%, 8% and 10% and successive discounts of 10%, 15% and 10%. By choosing the better offer, he can save approximately:
a.Rs.120
b.Rs.98
c.Rs.35
d.Rs.140
Q.20 The difference between the total sales of some articles if sold for Rs.12 per article instead of Rs.9 per article is Rs.150. If the total costs of these articles is Rs.250, then find the total sales value of 21 articles if profit is 20%.
a.Rs.126
b.Rs.125
c.Rs.130
d.Rs.136
Q.21 A sale offers “Buy three, get one free” and another 10% discount on the amount after the offer. Find the overall discount percentage.
a.20%
b.25%
c.27.5%
d.32.5%
Q.22 The marked price of an article is 50% above cost price. When marked price is increased by 20% and selling price is increased by 20%, the profit doubles. If original marked price is 300, then original selling price is
a.Rs.200
b.Rs.240
c.Rs.250
d.Rs.275
Q.23 Parth sold his toys for Rs.7650 after offering a discount of 15%. If the article is marked 20% above its cost price, then find the profit percentage earned by the Parth?
a.2%
b.4%
c.6.5%
d.6.25%
Q.24 A seller gives one T-shirt free on a purchase of 4 T-shirts. What is the discount percentage
a.25%
b.30%
c.20%
d.40%
Q.25 After giving a discount of 15% for cash payment, a trader makes a profit of 19%. How much percent above the CP does the trader mark his product?
a.30%
b.36%
c.40%
d.48%
e.Can not be determined
Answers For Profit and Loss Questions for CAT
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
C | C | B | D | B | B | D | B | B | D |
11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
A | C | C | A | C | A | A | A | B | A |
21 | 22 | 23 | 24 | 25 | |||||
D | C | A | C | C |






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