Profit and Loss Question Sheet for CMAT and CUET
- Jul 29
- 13 min read
Updated: Jul 31
Understanding Profit and Loss is essential for effective preparation for the Common Management Admission Test (CMAT). Percentages are not only a fundamental mathematical concept but also a critical tool used in various management scenarios, including financial analysis, budgeting, and performance evaluation. Mastering percentages enables candidates to interpret data accurately, make informed decisions, and apply mathematical reasoning to real-world business situations. As the CMAT exam assesses a candidate's ability to apply management principles, a strong grasp of percentages can significantly enhance one's analytical skills and overall performance on the test.Profit and Loss question sheet for CMAT
Directions for questions 1 to 80: Select the correct alternative from the given choices.
1. An article is bought for Rs. 600 and sold for Rs. 750. The gain percent is
a. 20% b. 25% c. 30 % d. None of these
2. A woman purchased a grinder for Rs. 640 and sold it at a profit of 15%. The selling price is
a. Rs. 736 b. Rs. 812 c. Rs. 684 d. None of these
3. Raju bought a ring and sold it to Raghu at a profit of 10%. Raghu sold it to Ramu at a loss of 20%. If Ramu paid Rs. 1980, then the cost price of the ring Raju bought is
a. Rs. 2000 b. Rs. 2050 c. Rs. 2250 d. None of these
4. By selling a radio for Rs. 1950, a person got a profit of 30%. At what price should he have sold it in order to get a profit of 40%?
a. Rs. 2000 b. Rs. 2100 c. Rs. 2500 d. None of these
5. The profit obtained by selling an article for Rs. 56 is the same as the loss obtained by selling it for Rs. 42. What is the cost price of the article?
a. Rs. 40 b. Rs. 50 c. Rs. 49 d. None of these
6. A man bought a clock at 3/4th of its list price and sold it at 50% above its list price. What is his percent of gain in that truncation?
a. 50% b. 70% c. 80% d. None of these
7. By selling a book for Rs. 150, a shop owner lost 1/16 of what it costs. What is its cost price?
a. Rs. 120 b. Rs. 140 c. Rs. 150 d. Rs. 160
8. Venu sold 250 chairs and had a gain equal to the selling price of 50 chairs. What is his profit percentage?
a. 25% b. 20% c. 10% d. None of these
9. A dealer professes to sell his goods at cost price and uses an 880 gm weight instead of a kg. what is his percentage of gain?
a. 13.13% b. 13.33% c. 13.36% d. 13.63%
10. If profit as a percentage of the selling price is 25%, then what is profit as a percentage of the cost price?
a. 25% b. 33 ½ % c. 20% d. 15%
11. P sold an article for Rs. 1080 thereby losing 10%. Q sold another article for Rs. 1800 at a loss of 10%. Who incurred a greater loss?
a. P b. Q c. Cannot say d. Both have an equal loss
12. By selling a clock for Rs. 810, I lost 10% of its cost. At what price should I sell it to get 20% profit?
a. Rs. 980 b. Rs. 1000 c. Rs. 1080 d. None of these
13.What is the single discount that is equivalent to a series of discounts of 10%, 20%, and 10%?
a. 35% b. 40% c. 35.5% d. 35.2%
14. A man sold an article at 105 gain. If he had charged Rs. 45 more his gain would have been 25%. What is the cost price?
a. Rs. 200 b. Rs. 300 c. Rs. 250 d. None of these
15. A man bought two articles each at Rs. 840 and sold one at 20% profit and another at 20% and on the other a loss of 20% and on the other a loss of 20%. What is his percentage of overall profit or loss?
a. 10% loss b. 20% profit c. 20% loss d. None of these
16. A shopkeeper sold two TVS Spectra each at Rs. 9000. On one he made a profit of 20% and on the other a loss of 20%. What is his percentage of overall profit or loss?
a. 10% loss b. 20% profit c. 10% profit d. None of these
17. A trader increases the cost price of an article by 25% and allows the customer a discount of 12%. What is his percentage of profit?
a. 10% b. 13% c. 20% d. None of these
18. Swapna bought 15 apples for Rs. 10 and sold them at the rate of 12 apples for Rs. 12. What is the percentage of profit made by her?
a. 100% b. 150% c. 125% d. None of these
19. By selling some cloth at the cost price a merchant still gained 19 ½ %. How much less cloth does he measure for a metre?
a. 15 cm b. 20 cm c. 16 cm d. None of these
20. If a toy is sold at Rs. 16, the numerical value of the percentage of loss is equal to the cost price in rupees. What is the cost price of that toy?
a. Rs. 10 b. Rs. 12 c. Rs. 16 d. Rs. 20
21. A dealer marked a computer toy at Rs. 1200. He allowed two successive discounts of 10% and 5% for a customer. How much did the customer have to pay?
a. Rs. 868 b. Rs. 1080 c. Rs. 964 d. Rs. 1026
22. A boy purchased a cycle at 4/5th of its list price and sold is at 20% above the original list price. What is his profit percentage?
a. 25% b. 40% c. 50% d. None of these
23. Srinu purchased 150 kg of rice. He sold 1/3rd of it at a 10% loss. At what percent of profit must he sell the remaining rice so that he can make a 10% profit on the whole?
a. 20% b. 15% c. 10% d. None of these
24. A merchant gives 25% discount on an article and still gains 20%. How much percentage above the cost price is the article marked?
a. 10% b. 15% c. 40% d. 60%
25. 30% loss on cost price is what percent loss on selling price?
a. 30% b. 20% c. 15% d. None of these
26. A merchant blends two varieties of tea, one costing Rs. 20 per kg and another costing Rs. 28 per kg, in the ratio 3 : 2 respectively. He sold the mixture at Rs. 24 per kg. Find his percentage of gain.
a. 3.4% b. 5.2% c. 6% d. None of these
27. By selling 44 metres of ribbon I gained the cost price of 11 metres of ribbon. My percentage of gain is ______
a. 33 ½ % b. 25% c. 30% d. None of these
28. 400 tomatoes were bought at Rs. 125 per hundred and were sold at a total profit of Rs. 100. The selling price of dozen tomatoes is ______
a. Rs. 20 b. Rs. 18 c. Rs. 25 d. None of these
29. A trader sells his goods at a gain of 30%. He measures only 975 gm for every kg. find his overall percentage of gain.
a. 33 12% b. 3315% c. 3314% d. 3313%
30. A retailer buys 50 articles from a wholesaler at the marked price of 45. If he sells these at their marked price, the percentage of gain in the transaction is ________
a. 10 12% b. 11 19% c. 813% d. None of these
31. What will be the percentage of profit after selling an article at a certain price, if there is a loss of 10% when the article is sold at half that price?
a. 20% b. 10% c. 50% d. None of these
32. A man buys 200 oranges for Rs. 10. How many oranges a rupee can he sell so as to gain 25%?
a. 10 b. 14 c. 16 d. 20
33. Arun purchased a house for Rs. 75000 and a site for Rs. 15000 respectively, if he sold the house for Rs. 83000 and the site for Rs. 10000, then find the resultant percentage of gain.
a. 3% b. 313% c. 30% d. 3313%
34. A calculator was sold at a loss of 11%. Had it been sold for Rs. 96 more, there would have been a gain of 13%. Find its cost price.
a. Rs. 200 b. Rs. 250 c. 300 d. Rs. 400
35. The cost price of 24 lemons is the same as the selling price of 18 lemons. Find the percentage of gain/loss.
a. 12 12% b. 14 27% c. 1623% d. 3313%
36. The cost price of a certain number of articles is the same as the selling price of 1/3rd of the same number of articles. Find gain/loss percent.
a. 50% b. 100% c. 150% d. 200%
37. A dealer weighs only 950 gm per kg. Find his error percentage.
a. 5 119% b. 5% c. 15% d. None of these
38. A dealer gives 20% discount on an article and gains 15%. If the cost price of the article is Rs. 400, then what is the marked price?
a. Rs. 500 b. Rs. 460 c. Rs. 672 d. Rs. 575
39. When an article is sold for Rs. 1200, the profit earned is the same as the loss incurred when it is sold for Rs. 800. The cost price of the article is
a. Rs. 900 b. Rs. 1050 c. Rs. 1125 d. None of these
40. Ravi makes a profit of 20% by selling as article at a certain price. If he charges Rs. 3 more for it, he would have made 50% gain. Find the selling price of that article.
a. Rs. 10 b. Rs. 12 c. Rs. 15 d. None of these
41. By selling 25 m of cloth I gain the selling price of 5 m. find the percentage of gain.
a. 20% b. 25% c. 30% d. None of these
42. The profit obtained by selling an article for Rs. 48, is twice the loss obtained by selling is Rs. 36. Then the cost price is _______
a. Rs. 40 b. Rs. 38 c. Rs. 42 d. None of these
43. A shopkeeper sells pencils at a profit of 20% for Rs. 60. But due to fall in demand he reduces the price to Rs. 55. Find the percent age of gain or loss he now makes.
a. 10% b. 20% c. 30% d. None of these
44. A trader marked the price of a cycle 30% above its C.P. and gave 10% discount to a customer on the marked price. If his gain is Rs. 340, then find the C.P. of the cycle.
a. Rs. 2050 b. Rs. 2000 c. Rs. 3000 d. None of these
45. A trader earns Rs. 20 on selling his product at 10% above the cost. What is the cost price?
a. Rs. 125 b. Rs. 150 c. Rs. 200 d. Rs. 250
46. A bangle seller marks his goods 20% above the cost price and allows 20% discount. What is his gain or loss per bangle if he charges Rs. 12 for a pair of bangles?
a. Rs. 1/4 b. Rs. 3/4 c. Rs. 1/2 d. None of these
47. The profit obtained by selling an article for Rs. 800 is Rs. Rs. 50 more than the loss incurred by selling it for Rs. 600. The cost price is
a. Rs. 625 b. Rs. 645 c. Rs. 675 d. None of these
48. A boy purchased a clock. He sold it for a loss of 5%. If he sold it for Rs. 100 more his gain would have been 15%. The cost price of the clock is
a. Rs. 480 b. Rs. 490 c. Rs. 500 d. Rs. 520
49. By selling a pen for Rs. 15 a boy losses 1/16th of what it costs. The cost price of the pen is ______
a. Rs. 20 b. Rs. 18 c. Rs. 16 d. None of these
50. By selling eggs for Rs. 10 a dozen a woman losses 1/11th of their cost price. What is the cost of 1 dozen eggs?
a. Rs. 10 b. Rs. 12 c. Rs. 9 d. None of these
51. A merchant decides to sell his goods at C.P. but he wants to get 25% profit. How many grams should he give instead of a kg?
a. 700 b. 900 c. 800 d. 400
52. I sold an article at 25% profit on my outlay. Express this profit as a percentage of my selling price.
a. 10% b. 15% c. 25% d. 20%
53. A shop owner earns 15% profit on a shirt even after allowing 31% discount on the list price. If the list price is Rs. 125 then find the cost price.
a. Rs. 87 b. 80 c. Rs. 75 d. Rs. 69
54. By selling an article for Rs. 360, a trader lost 10%. At what minimum price should he sell to avoid loss?
a. Rs. 320 b. Rs. 324 c. Rs. 396 d. 400
55. A shop-keeper sells an article for Rs. 990 and gains 10%. At what minimum price should he sell the article to gain 20%?
a. Rs. 1980 b. Rs. 1080 c. Rs. 2000 d. Rs. 1089
56. The manufacturing cost of a watch is Rs. 180 and the transportation cost is Rs. 500 for 100 watches. What will be the selling price if it is sold at 20% gain?
a. Rs. 222 b. Rs. 216 c. Rs. 221 d. Rs. 220
57. A trader gains the cost of 2kg of oil by selling 10kg. of oil. Find his gain percentage.
a. 20% b. 1823% c. 10% d. 1123%
58. A business man sold one-third of his merchandise at a loss of 10%. At what percentage of gain he should sell the remaining goods to gain 10% on the whole?
a. 5% b. 10% c. 15% d. 20%
59. After two successive discount of 10% each are allowed, an article is sold at Rs. 2430. What is the discount allowed?
a. Rs. 520.30 b. Rs. 570 c. Rs. 486 d. Rs. 461.70
60. A person, by selling an article at three-fourths of the list price incurs a loss of 20%. Find the profit percentage if he sells at the list price.
a. 25% b. 20% c. 11 19% d. None of these
61. A trader sold an article and got one-fourth of selling price as profit. Find the percentage of profit.
a. 25% b. 3313% c. 20% d. 2623%
62. If a shopkeeper sells an article for Rs. 50 more than what he does now, his profit percentage would increase by 5 percentage points. Find the cost price of the article.
a. Rs. 1000 b. Rs. 950 c. Rs. 1050 d. Rs. 1100
63. A sold an article for Rs. 550 at 10% gain and B sold an article for Rs. 345 at 15% gain. Who got more profit?
a. A b. B c. Both got the same profit d. Can’t be determined
64. When an article is sold for Rs. 1500, the profit earned is one and half times of the loss incurred when it was sold for Rs. 500. Find the cost price.
a. Rs. 1200 b. Rs. 1000 c. Rs. 900 d. Rs. 1150
65. A person sold his watch for Rs. 96 and got a percentage of profit which was numerically equal to the cost price. The cost price of the watch is
a. Rs. 50 b. Rs. 54 c. Rs. 60 d. Rs. 80
66. A man purchases articles at Rs. 3x per gross and sells them at Rs. x/2 per dozen. What is his percentage of profit?
a. 200 b. 100 c. 150 d. 50
67. A manufacturer purchases a second hand machine for Rs. 80000 and incurs Rs. 20000 on installation and repairs. After one year he sells the machine for Rs. 90000. What is the percentage of profit or loss? Assume that 25% of total cost incurred is to be deducted per year on account of depreciation.
a. 20% b. 16(2/3)% c. 25% d. 33(1/3)%
68. The selling price of an article is Rs. 10 more than its cost price but it is Rs. 10 less than the marked price. If the cost price of the article is Rs. 100, then find the discount percentage that was given.
a. 10% b. 8(1/3)% c. 12% d. 16 (2/3)%
69. A man bought two dozen apples. He sold half of them at the cost price of 10 apples and the remaining at the cost price of 15 apples. What is the overall gain or loss percent?
a. 6 (1/4)% loss b. 6 (2/3)% gain c. 6 (1/3)% loss d. 4 (1/3)% gain
70. A man sold two articles at the same price of Rs. 9900 each and gains 10% on the first article and losses 8 13% on the second article. What is the overall percent of gain or loss?
a. 10% gain b. 9 (1/11)% loss c. 10/11% gain d. No loss, no gain
71. A sells an article to B at a gain of 20%. B sells it to C at a gain of 25% and C in turn sells it to D at a loss of 3313%. If D paid Rs. 1000 for it, then what is the cost price of A?
a. Rs. 1000 b. Rs. 2000 c. Rs. 3000 d. Rs. 4000
72. A trader listed an article at 112 times more than the cost price and sold it at a certain discount such that the profit amount and discount amount are equal. What is the percentage of gain?
a. 25% b. 50% c. 75% d. 125%
73. The cost price of 20 articles and the selling price of 25 articles together are equal to the cost price of 50 articles. What is the percentage of profit?
a. 30% b. 25% c. 20% d. 45%
74. A trader bought 15 books at the price of 12 books and sold 12 books at the price of 15 books. What is his percentage of profit per book sold?
a. 50% b. 25% c. 20% d. 56(1/4)%
75. Ajay had purchased a second hand scooter for Rs. 18000 and spent Rs. 1800 for repairs. After one year he wanted to sell the scooter. At what price should he sell it to gain 1119%, if 9111% is to be deducted at the end of every year on account of depreciation?
a. Rs. 18000 b. Rs. 19800 c. Rs. 20000 d. Rs. 22500
76. Ajay bought a certain number of articles from Bharat, who sold them at a loss of 8 13%, and sold them to Chander at a gain of 9111%. What is the ratio of Ajay’s selling price and Bharat’s cost price?
a. 144 : 121 b. 121 : 144 c. 11 : 12 d. None of these
77. After getting three successive discounts of 11%, 13% and 19% on a house a man purchases the house for Rs. 627183. What is the original price of the house?
a. Rs. 1300000 b. Rs. 1200000 c. Rs. 1100000 d. Rs. 1000000
78. A man earns an amount equal to 2/7th of the selling price of cycle. What is his gain percent?
a. 28(4/7)% b. 14 (2/7)% c. 40% d. 50%
79. After getting three equal successive discount percentages over a marked price of Rs. 1000 a customer has to pay Rs. 729 for an article. What is the rate of each of the successive discounts?
a. 10% b. 20% c. 30% d. 40%
80. One-fifth of the cost price, one-seventh of the marked price and one-sixth of the selling price are all equal. What is the gain or loss to the trader?
a. 20% gain b. 16(2/3)% c. 14(2/7)% d. 10% loss
Comments