Percentage Question Sheet for CMAT and CUET

Understanding percentages 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.

1. What fraction is equal to 83 1/3 %?

a. 5/7 b. 5/6 c. 1/6 d. 3/8

2. What fraction is equal to 62 ½ %?

a. 5/7 b. 3/8 c. 5/8 d. 4/7

3. Express 3/8 as a percentage.

a. 37 ½ % b. 62 ½ % c. 16 2/3 % d. 25 %

4. Express 5/7 as percentage.

a. 56 1/3% b. 71 3/7% c. 79 1/7% d. 82 3/4%

5. What is 16% of Rs. 1250? (in Rs.)

a. 125 b. 50 c. 100 d. 200

6. Find 33% of 900.

a. 279 b. 300 c. 324 d. 297

7. What is 50% of 40% of 1200 grams? (in grams)

a. 450 b. 100 c. 300 d. 240

8. What percent of 1 gross is 2 dozens?

a. 25% b. 16 2/3% c. 16 1/6% d. 50%

9. If 20% of 80 = x% of 10, then what is the value of x?

a. 160 b. 200 c. 180 d. 80

10. What percent is 3 minutes 36 seconds of an hour?

a. 4% b. 16% c. 6% d. 8%

11. What percent is 2 minutes 24 seconds of an hour/

a. 6% b. 2% c. 4% d. 8%

12.  What is the value of 10% of 840 + 12 ½ % of 400?

a. 341 b. 134 c. 254 d. 625

13. What is the value of 8 1/3% of 600 + 37 ½ % of 400?

a. 100 b. 300 c. 150 d. 200

14. If x% of x y% of y = 2% of xy, then what percent of x is y?

a. 50% b. 75% c. 100% d. Can’t be determined

15. If x % 1/y = 16 2/3% of 1/50, then what percent of y is x?

a. 11 1/9% b. 9 1/11% c. 10% d. 9%

16. Adding 20% of x to x is equivalent to multiplying x by which of the following?

a. 12.5 b. 1.05 c. 1.15 d. 1.20

17. Adding 32% of x to x is equivalent to multiplying x by which of the following?

a. 123 b. 1.23 c. 1.32 d. none of these

18. Subtracting 24% of x from x is equivalent to multiplying x by which of the following?

a. 0.76 b. 76 c.0.24 d. 2.4

19. Subtracting 43% of x from x is equivalent to multiplying x by what?

a. 0.67 b. 0.43 c. 0.57 d. 0.37

20. When 25% of a number is added to 45; the result is the same as the number. What is the value of the number?

a. 100 b. 75 c. 45 d. 60

21. A number when increased by 17% becomes 2340. What is the number?

a. 1800 b. 3000 c. 2000 d. 1500

22. The ratio of two numbers is 4/5 : 9/10. By what percentage is the second number more than the first?

a. 12 ½ % b. 16 2/3% c. 8 1/3% d. 11 1/9%

23. The production of rice went up from 2000 million tonnes in 1998 to 2,300 million tonnes in 1999. Find the percentage increases in the production of rice from 1998 to 1999?

a. 20% b. 15% c. 25% d. 12 ½ %

24. Anand’s salary has increased from Rs. 7200 to Rs. 8100. What is the percentage increase in Anand’s salary?

a. 33 1/3% b. 25% c. 16 2/3% d. 12 ½ %

25. The population of a city increases from 12000 to 14000. What is the percentage increase in the population?

a. 66 3/4% b. 24 3/4% c. 16 2/3% d. 13 1/3%

26. Two-third of three-fifth of five-sixth of a number is what percentage of that number?

a. 66 2/3% b. 33 1/3% c. 60% d. 40%

27. 42% of a numbers is subtracted from 61% of itself and the resulting value is 38. Find the number.

a. 100 b. 250 c. 200 d. 300

28. If Raju’s Salary went up by 40%, by what percentage should it be brought down to bring it back to the original level?

a. 19 1/3% b. 16 2/3% c. 28 4/7% d. 23 1/7%

29. The price of a commodity increases by 50%. By what percentage should the consumption be reduced to keep the expenditure constant/

a. 25% b. 33 1/3% c. 50% d. 16 2/3%

30. In an examination, Srinivas got 35% more marks than Venu. By what percentage are Venu’s marks less than that of Srinivas?

a. 25 25/27% b. 27 25/29% c. 25 7/27% d. none of these

31. Srinivas scores 60% more marks than Srinath. By what percentage are Srinath’s marks less than that of Srinivas?

a. 23 1/3% b. 16 2/3%  c. 37 ½ % d. 43 13%

32. Due to fall in manpower, the production in a factory decreases by 40%. By what percentage should be the working hours be increased to restore the original level of production?

a. 66 2/3% b. 46 1/3% c. 25% d. 40%

33. The length of a increased by 30% where as the breadth is decreased by 25%. What is the consequent percentage change in the area of the rectangle?

a. 2.5% increase b. 25% decrease

c. 5% increase d. 2.5% decrease

34. The salary of all officers is increased twice successively by 20%. What is the net percentage increase in their salaries?

a. 20% b. 40% c. 21% d. 44%

35. The salary of an officer is increased twice successively by 30%. What is the net percentage increase in his original salary?

a. 44% b. 39% c. 69% d. 96%

36. By what percentage does the side of a square increase if its area is increased by 125%?

a. 50% b. 40% c. 60% d. 30%

37. Two numbers are respectively 30% and 40% of a third number. What percent is the first of the second?

a. 25% b. 50% c. 40% d. 75%

38. Two numbers are 15% and 20% less than a third number. Express the first number as a percentage of the second.

a. 116 2/3% b. 83 1/3% c. 106 1/4% d. 123 2/3%

39. Two numbers are less than a third number by 40% and 46% respectively. By what percent is the second number less than the first?

a. 5% b. 15% c. 20% d. 10%

40. In an examination it is necessary for a candidate to get 45% of the maximum marks to pass. A candidate who gets 180 marks, fails by 45 marks. Find the maximum marks.

a. 450 b. 600 c. 500 d. 550

41. A candidate who gets 25% of the total marks in an examination, fails by 32 marks. Another candidates who gets 37% of the total marks, gets 52 marks more than the required pass mark. The maximum marks in the examination is

a. 700 b. 600 c. 500 d. 800

42. Vamsi gets 40% of the total marks in an examination and gets 14 marks more than what is required for passing. Another candidate Rani who gets 30% of total marks fails by 16 marks in the same examination. Find the maximum marks.

a. 600 b. 400 c. 300 d. 500

43. In an examination, it is necessary to get 36% of the maximum marks in order to pass. A student who got 133 marks failed by 65 marks. What is the maximum mark in the examination?

a. 1008 b. 640 c. 550 d. 500

44. In a Mathematics examination, a student scored 45% in the first paper (out of a total of 200 marks). How much should he score in th second paper (out of 200), if he wants to get 50% of the total marks?

a. 40% b. 55% c. 46% d. 66%

45. 10 liters of water is added to 50 litres of a solution containing 20% of alcohol in water. What is the strength of alcohol in the solution now?

a. 20% b. 16 2/3% c. 12 ½ % d. 33 1/3%

46. Thirty litres of water is added to 150 liters of a 20% solution of alcohol in water. The resultant strength of alcohol is

a. 25% b. 12 ½ % c. 33 1/3% d. 16 2/3%

47. The population of a city increases by 20% every year. If the present population is 72000, then what was the population 2 years ago?

a. 16.64% b. 36% c. 40% d. 44%

48. The population of a city decreases annually by 20% by 20%. What will be the percentage decrease in two years?

a. 16.64% b. 36% c. 40% d. 44%

49. The population of a town increases annually by 20%. If the present population is 200000, then what is the difference in the population after 2 years and 3 years?

a. 63250 b. 48800 c. 60800 d. 57600

50. On an average a city has a birth rate of 15% of the population and a death rate of 5% of the population. What will be the increase in the population is 2 years?

a. 50% b. 20% c. 21% d. 18%

51. The population of a town is 20000. It increases by 10% during the first year. During the second year, it increase by 20%. What is the population after 2 years?

a. 28600 b. 29400 c. 24400 d. 26400

52. The population of a city decreases by 10% at the end of first year and increases by 10% at the end of second year and again decreases by 10% at the end of the third year. If the population of the city at the end of the third year is 4455, then what was the population of the city at the beginning of the first year?

a. 5000 b. 4500 c. 4950 d. 1000

53. Prasad earns Rs. 700 per month and spends 60% of his income. How much does he save in 6 months? (in Rs.)

a. 1480 b. 1680 c. 1500 d. 1600

54. A man spends 25% of his money. After spending 50% of the remaining, he is left with Rs. 375. How much money had he initially? (in Rs.)

a. 5000 b. 4000 c. 5800 d. 1000

55. Tarun spent 6 14% of what he had. If his expenditure amounted to Rs. 7500, what amount left with him? (in Rs.)

a. 120000 b. 80000 c. 112500 d. 19000

56. A man saves 40% of his monthly salary. On account of an increase in prices, He has to increase his monthly expenditure by 40%, and is able to save Rs. 40 per month. What is his monthly salary? (in Rs.)

a. 1000 b. 500 c. 200 d. 250

57. A man earns Rs. 4000 in a month and saves 30% of his income. What is his expenditure in a year? (in Rs.)

a. 28600 b. 18400 c. 32000 d. 33600

58. If income tax is reduced from 15% to 12 ½ %, what concession does Mr. Sumit get whose taxable, income is Rs. 200000? (in Rs.)

a. 2000 b. 2500 c. 6000 d. 5000

59. If the income tax is reduced form 16 ½ % to 12 ½ %, what concession does Mrs. Sudha Rani get, whose taxable income is Rs. 60000? (in Rs.)

a. 2000 b. 2400 c. 2200 d. 5200

60. A man earns Rs. 5000 per month and spends 45% of his income. What is his total saving in 7 months? (in Rs.)

a. 14250 b. 19250 c. 18000 d. 20250

61. After spending 20% on machinery, 10% on building, 9% on a raw materials and 7% on other. Chandra had a balance of Rs. 2700. The money with him initially was. (in Rs.)

a. 5000 b. 6000 c. 7000 d. 8000

62. A man sends 60% of his income. His income increases by 40% and his expenditure also increases by 40%. Find the percentage increase in his savings?

a. 30% b. 40% c. 50% d. 35%

63. Sivaram regularly saves 60% of his monthly salary. On account of a rise in prices he has to increase his monthly expenses by 20%. Now he is able to save Rs. 10400 per month. What in his monthly salary? (in Rs.)

a. 15000 b. 30000 c. 20000 d. 25000

64. Dravid spends 30% of his salary on house rent, 20% on children’s education, 35% on other items and is left with Rs. 3000. What is his salary? (in Rs.)

a. 15000 b. 28000 c. 20000 d. 25000

65. The mean annual salary paid to all employees of a company was Rs. 8000. The mean annual salaries paid to male and female employees were Rs. 7000 and Rs. 12000 respectively. What is the percentage of male workers in the company?

a. 80% b. 20% c. 60% d. 50%

66. A man’s pay for a 15 hour week is Rs. 750. Overtime is paid at the rate of 20% above the basic rate. In a certain week his wage was Rs. 1050. For how many hours did he work overtime in that week?

a. 12 b. 5 c. 7 d. 8

67. The cost of furniture inclusive of sales tax is Rs. 5800. The rate of sales tax is 16%. What is the original cost of the furniture? (in Rs.)

a. 5000 b. 6000 c. 5200 d. 6200

68. The salaries of A and B together is equal to Rs. 10000. A spends 80% of his salary and B, 70% of his salary. If now their savings are the same, what is A’s salary? (in Rs.)

a. 6000 b. 5000 c. 4000 d. 7000

69. Out of a class of 60 boys 10 were absent, 18% of the remaining failed to do homework. Out of those present, how many boys did the homework?

a. 45 b. 50 c. 41 d. 38

70. The radius of a circle is 21 cm. what percent of the numerical value of its radius (in cm) is the numerical value of its area (in sq. cm)?

a. 5000% b. 8000% c. 4400% d. 6600%

71. In an examination 68% of the candidates passed in Test of Reasoning, 72% passed in Arithmetic Ability and 13% failed in both subjects. What is the percentage of those who passed in both the subjects?

a. 55% b. 60% c. 47% d. 53%

72. In an examination 35% of Students passed in Maths, 48% passed in science and 23% passed in both subjects. What is the percentage of the students who failed in both the subjects?

a. 50% b. 40% c. 60% d. 53%

73. 62% of students of a certain class took Biology and 54% took Computers. If all students took either Biology or computer and 60 took both, the total number of students in the class was

a. 1.875 b. 200 c. 250 d. 375

74. In an election contested by two candidates, the candidate who gets 43% is rejected by a margin of 2856 votes. Find the total number of votes polled given that all the votes polled were valid votes?

a. 20400 b. 20820 c. 16500 d. 40800

75. In an election, a candidate secured 37% of the total votes polled. The only candidate defected him by 520 votes. If all the votes polled are valid, the number of votes polled was

a. 1500 b. 4000 c. 2000 d. 4400

76. The cost of furniture inclusive of sales tax is Rs. 7500. If sales tax is 25%, then find the original cost of the furniture. (in Rs.)

a. 6000 b. 7500 c. 5000 d. 5500

77. There are two equal numbers x and y, x is increased by 16 2/3% and y is decreased by 16 2/3%. Now, by what percentage is the value of x more than the value of y?

a. 33 1/3% b. 30% c. 40% d. 70%

78. A merchant has 70 kg of sugar. A part of it he sells at 8% gain at the rest at a gain of 18% and gets 14% gain on the whole. What is the quantity of sugar sold at 18% gain? (in kg)

a. 28 b. 42 c. 14 d. 56

79. A sum of Rs. 395 was divided among A,B and C in such a way that B gets 25% more than A and 20% more than C. what is the share of A? (in Rs.)

a. 195 b. 180 c. 98 d. 120

80. If the numerator of a fraction is increased by 20% and its denominator is decreased by 10% the fraction becomes 3/2. Find the original fraction.

a. 2/3 b. 7/8 c. 9/8 d. 6/7

Answer Key

Exercise 7(a)

1	b	11	c	21	c	31	C	41	a	51	d	61	a	71	d
2	c	12	b	22	a	32	A	42	c	52	a	62	b	72	b
3	a	13	d	23	b	33	D	43	c	53	b	63	c	73	d
4	b	14	c	24	d	34	D	44	b	54	d	64	c	74	a
5	d	15	a	25	c	35	C	45	b	55	c	65	a	75	c
6	d	16	b	26	b	36	A	46	d	56	d	66	b	76	a
7	d	17	c	27	c	37	D	47	d	57	d	67	a	77	c
8	b	18	a	28	c	38	C	48	b	58	d	68	a	78	b
9	a	19	c	29	b	39	D	49	d	59	b	69	c	79	d
10	c	20	d	30	a	40	C	50	c	60	b	70	d	80	c