You can prepare effectively for CAT Level-wise Tests for CAT with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test Level 2: Profit & Loss - 1". These 10 questions have been designed by the experts with the latest curriculum of CAT 2026, to help you master the concept.
Test Highlights:
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A shopkeeper purchased a box containing 50 pens for Rs. 500. He sold some of these pens at a profit of 30%. On the remaining pens, he incurred a loss of 10%. If his overall profit on the entire box was 10%, then how many of the pens did he sell at profit?
Detailed Solution: Question 1
There are two types of milk, type A and type B. For type A, the selling price is 50% more than the cost price; and for type B, it is 20% more. If these two types are mixed in the ratio 3 : 2 and sold at the marked price, what is the profit percentage?
Detailed Solution: Question 2
A dishonest milkman mixes 20 litres of water with 80 litres of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he had sold. What is the current proportion of water to milk?
Detailed Solution: Question 3
A tradesman marks an article at a price which would give him a profit of 20% on the cost price. To the favoured customers, he makes a deduction of 5% from the marked price. What actual profit does he receive from the sale of an article to a favoured customer for which the latter pays him $28.50?
Detailed Solution: Question 4
Rahul purchased a scooter at 13/15th of its selling price and sold it at 12% more than its selling price. What is his gain percent?
Detailed Solution: Question 5
There are two shops, A and B. Shop A gives successive discounts of 60% and 40%, whereas shop B gives successive discounts of 30% and 70%. If the selling price of an article is the same in both the shops, then what is the ratio of marked prices of the article in the two shops?
Detailed Solution: Question 6
Umesh purchased 360 eggs at the rate of 78 paise each. On this, he paid Rs. 14 as octroi, Rs. 13 as transport and Rs. 5 as additional charges. He kept 7 eggs for himself. At what rate should he sell each of the remaining eggs to get a total profit of Rs. 70?
Detailed Solution: Question 7
A sold a watch to B at a gain of 5% and B sold it to C at a gain of 4%. If C paid Rs. 1,092 for it, the price paid by A is
Detailed Solution: Question 8
Vijay bought some pens for Rs. 540. He lost 2 pens on his way back to the shop. Then, he sold the rest of the pens at Rs. 6 more (per pen) than what he paid for them. On the whole transaction, Vijay gained 10% on his outlay. How many pens did Vijay buy?
Detailed Solution: Question 9
Gopal, a cunning milkman, buys milk from Frontier Dairy Junction and sells it to gullible housewives. He buys milk at Rs. 35 per litre and adds 250 ml of pure water to a litre of the thick creamy milk. He sells the mixture so formed at Rs. 45 per litre. What is his approximate profit percentage? It is to be assumed that it costs him next to nothing to mix the milk in water.
Detailed Solution: Question 10
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