The CAT QA section requires speed and accuracy, along with a thorough understanding of the Profit and Loss. This article provides a set of MCQs on Profit and Loss to help you understand the topic and improve your problem-solving skills with the help of detailed solutions by ensuring conceptual clarity, which will help you in the CAT 2025 exam preparation
Whether you're revising the basics or testing your knowledge, these MCQs will serve as a valuable practice resource.
The CAT 2025 exam is expected to follow a similar trend to the CAT 2024, with 22 questions from the QA section out of a total of 68 questions.
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CAT MCQs on Profit and Loss
1. Ankita buys 4kg cashews, 14kg peanuts, and 6kg almonds when the cost of 7kg cashews is the same as that of 30kg peanuts or 9kg almonds. She mixes all three nuts and marks a price for the mixture in order to make a profit of ₹1752. She sells 4kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent buying almonds is
A
1440
B
1176
C
1680
D
2520
2. Geeta sells A \(→\) 20% (Profit) and B \(→\) 10% (Loss) at the same sp. If she increases SP such that A and B still sold at an equal price and profit of 10% made on B, then profit made on A will be?
A
45%
B
47%
C
42 %
D
49%
3. Minu purchases a pair of sunglasses at Rs.1000 and sells to Kanu at 20% profit. Then, Kanu sells it back to Minu at 20% loss. Finally, Minu sells the same pair of sunglasses to Tanu. If the total profit made by Minu from all her transactions is Rs.500, then the percentage of profit made by Minu when she sold the pair of sunglasses to Tanu is
A
26%
B
35.42%
C
52%
D
31.25%
4. Jayant bought a certain number of white shirts at the rate of Rs 1000 per piece and a certain number of blue shirts at the rate of Rs 1125 per piece. For each shirt, he then set a fixed market price which was 25% higher than the average cost of all the shirts. He sold all the shirts at a discount of 10% and made a total profit of Rs 51000. If he bought both colors of shirts, then the maximum possible total number of shirts that he could have bought is
A
395
B
407
C
413
D
None of Above
5. Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labeled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thus, he gets a total of Rs 2112, and makes a 10% profit. With no discounts, his percentage of profit would have been
A
60
B
55
C
50
D
54
6. A man buys 35 kg of sugar and sets a marked price in order to make a 20% profit. He sells 5 kg at this price, and 15 kg at a 10% discount. Accidentally, 3 kg of sugar is wasted. He sells the remaining sugar by raising the marked price by p percent so as to make an overall profit of 15%. Then p is nearest to
A
31
B
22
C
35
D
25
7. Manu earns ₹4000 per month and wants to save an average of ₹550 per month in a year. In the first nine months, his monthly expense was ₹3500, and he foresees that, tenth month onward, his monthly expense will increase to ₹3700. In order to meet his yearly savings target, his monthly earnings, in rupees, from the tenth month onward should be
A
4200
B
4400
C
4300
D
4350
8. A shopkeeper buys 120 red balloons, 80 blue balloons, and 100 green balloons. The cost of 5 red balloons is the same as that of 4 blue balloons or 2 green balloons. He sells all the balloons at a profit of 20% on the total cost price. If he sells 40 red balloons, 30 blue balloons, and 50 green balloons at a discount of 10% on the marked price, and the rest at the marked price, then his overall profit percentage is:
A
18%
B
20%
C
25%
D
30%
9. Bala bought 100 kg of flour and 100 kg of sugar. The flour was 25% cheaper than the sugar per kg. He mixed the entire quantity and sold the mixture at ₹275.50 per kg, making an overall profit of 50%. What is the cost price of flour per kg?
A
₹ 155.5
B
₹ 160.5
C
₹ 150.5
D
₹ 157.5
10. A' and 'B' started a business by investing Rs. '10x' and Rs. '20x', respectively. Six months later, 'B' increased his investment by 25%. After 6 more months, 'A' doubled his investment and 'C' joined the business by investing Rs. 5,000. If at the end of two years, the profit share of 'A' was Rs. 2,400 out of total profit of Rs. 10,200, then find the initial investment of 'B'.
A
Rs 2000
B
Rs 6000
C
Rs 5000
D
Rs 8000
11. A and B started a business with their initial investments of Rs.180 and X respectively. After 2 years from the start of the business, another person C joins them with investment Rs.300 and A and B invested additional amounts in the ratio of 1:5 respectively. If at the end of 5 years C receives (\(\frac{10}{33}\)) of total profit and the ratio of total profit of B to total profit of C is 7:6, what was the additional amount invested by B?
A
Rs 80
B
Rs 90
C
Rs 200
D
Rs 120
12. A cruise operates between Mumbai and Dubai. Each ticket of the cruise costs Rs. 2,500. The cruise is operated by a private company that has to pay a fixed cost per journey and a variable cost that depends on the number of passengers on board, to the government. If 100 passengers aboard the cruise, then the company suffers a loss of Rs. 1,000 per ticket However, when 400 passengers aboard the cruise, then the company earns Rs. 500 per ticket Find the profit earned by the company, when 600 passengers aboard the cruise.
A
Rs. 4, 50,000
B
Rs. 6, 00,000
C
Rs. 4, 00,000
D
Rs. 5, 00,000
13. After reducing the marked price of a table by 125 rupees, a carpenter makes a profit of 20%. If the cost price is 875 rupees, what percentage of profit would he have gained if he had sold the table only at a discount of 20%?
A
7.34
B
7.43
C
5.53
D
6.91
14. An item is sold with a profit of \(40\%\). If the cost price is reduced by \(40\%\) and Rs. \(5\) are also reduced from it, then the profit will be increased to \(50\%\). Find the final cost price.
A
10
B
15
C
18
D
20
15. The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is
A
10
B
20
C
14
D
15
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