Percentage, Profit, Loss and Discount MCQs – CAT & XAT Level Practice

Compiled by Maths By Amiya. Click below to reveal answers and video walkthroughs.

1) The cash difference between selling prices of an article at a profit of 4% and 6% is ₹3. The ratio of the two selling prices is:

(1) 51 : 52
(2) 52 : 53
(3) 51 : 53
(4) 52 : 55

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Answer: 52 : 53

2) A milkman makes 20% profit by selling milk mixed with water at ₹9 per litre. If the cost price of 1 litre pure milk is ₹10, then the ratio of milk and water in the said mixture is:

(1) 3 : 1
(2) 4 : 1
(3) 3 : 2
(4) 4 : 3

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Answer: 3 : 1

3) Nita blends two varieties of tea—one costing ₹180 per kg and another costing ₹200 per kg in the ratio 5 : 3. If she sells the blended variety at ₹210 per kg, then her gain percent is:

(1) 10%
(2) 11%
(3) 12%
(4) 13%

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Answer: 12%

4) A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is:

(1) 99 : 125
(2) 25 : 37
(3) 50 : 61
(4) 45 : 56

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Answer: 45 : 56

5) The ratio, in which tea costing ₹192 per kg is to be mixed with tea costing ₹150 per kg so that the mixed tea, when sold for ₹194.40 per kg, gives a profit of 20%, is:

(1) 2 : 5
(2) 3 : 5
(3) 5 : 3
(4) 5 : 2

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Answer: 2 : 5

6) The ratio of the quantities of sugar, in which sugar costing ₹20 per kg and ₹15 per kg should be mixed so that there will be neither loss nor gain on selling the mixed sugar at the rate of ₹16 per kg, is:

(1) 2 : 1
(2) 1 : 2
(3) 4 : 1
(4) 1 : 4

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Answer: 1 : 4

7) A profit of 12% is made when a mobile phone is sold at ₹P and there is 4% loss when the phone is sold at ₹Q. Then Q : P is:

(1) 1 : 1
(2) 4 : 5
(3) 6 : 7
(4) 3 : 1

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Answer: 6 : 7

8) Costs of two watches were in the ratio of 16 : 23. The cost of first watch increases by 10% and that of second by ₹477. Now the costs of two watches are in a ratio of 11 : 20. The price of the second watch (in ₹) in the beginning was:

(1) ₹932
(2) ₹1219
(3) ₹1696
(4) ₹848

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Answer: ₹1219

9) The liquids X and Y are mixed in the ratio of 3 : 2 and the mixture is sold at ₹11 per litre at a profit of 10%. If the liquid X costs ₹2 more per litre than Y, the cost of X per litre is (in ₹):

(1) 10.80
(2) 11.75
(3) 9.50
(4) 11

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Answer: 10.80

10) 4% of the selling price of an article is equal to 5% of its cost price. Again 20% of the selling price is ₹120 more than 22% of its cost price. The ratio of cost price and selling price is:

(1) 2 : 3
(2) 3 : 2
(3) 4 : 5
(4) 5 : 4

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Answer: 4 : 5

11) If the ratio between the profit and selling price of an article is 1 : 5, then the ratio between the selling price and the cost price of that article is:

(1) 3 : 2
(2) 4 : 3
(3) 5 : 4
(4) 6 : 5

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Answer: 5 : 4

12) If the loss per cent on an article is 15%, then the ratio of the cost price and the selling price will be: