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Percentages questions

Percent of a number, successive changes, exam marks.

1. A number increased by 25% becomes 375. What is the number?

  1. 240
  2. 330
  3. 300
  4. 225
Answer

C. 300 Number × 1.25 = 375, so number = 375 ÷ 1.25 = 300.

2. The price of an item is first increased by 20% and then decreased by 10%. What is the net change?

  1. No change
  2. 8% increase
  3. 8% decrease
  4. 10% increase
Answer

B. 8% increase Net change = 20 − 10 − (20 × 10)/100 = 8%, a increase of 8%.

3. What is 75% of 800?

  1. 480
  2. 600
  3. 602
  4. 540
Answer

B. 600 75% of 800 = 75/100 × 800 = 600.

4. To pass an exam a student needs 60% of the total marks. She scored 306 marks and failed by 24 marks. What are the total marks?

  1. 548
  2. 552
  3. 551
  4. 550
Answer

D. 550 Pass marks = 306 + 24 = 330. 60% of total = 330, so total = 330 × 100/60 = 550.

5. A's income is 20% more than B's. By what percent is B's income less than A's?

  1. 18.67%
  2. 21.67%
  3. 20%
  4. 16.67%
Answer

D. 16.67% Let B = 100, then A = 120. B is less by 20/120 × 100 = 16.67%.

6. A number increased by 25% becomes 312.5. What is the number?

  1. 275
  2. 225
  3. 250
  4. 313
Answer

C. 250 Number × 1.25 = 312.5, so number = 312.5 ÷ 1.25 = 250.

7. The price of an item is first increased by 25% and then decreased by 40%. What is the net change?

  1. 25% increase
  2. 15% decrease
  3. 25% decrease
  4. 27% decrease
Answer

C. 25% decrease Net change = 25 − 40 − (25 × 40)/100 = -25%, a decrease of 25%.

8. What is 75% of 500?

  1. 375
  2. 450
  3. 469
  4. 377
Answer

A. 375 75% of 500 = 75/100 × 500 = 375.

9. To pass an exam a student needs 35% of the total marks. She scored 254.5 marks and failed by 8 marks. What are the total marks?

  1. 751
  2. 675
  3. 825
  4. 750
Answer

D. 750 Pass marks = 254.5 + 8 = 262.5. 35% of total = 262.5, so total = 262.5 × 100/35 = 750.

10. A's income is 100% more than B's. By what percent is B's income less than A's?

  1. 100%
  2. 52%
  3. 55%
  4. 50%
Answer

D. 50% Let B = 100, then A = 200. B is less by 100/200 × 100 = 50%.

11. A number increased by 20% becomes 660. What is the number?

  1. 605
  2. 550
  3. 551
  4. 688
Answer

B. 550 Number × 1.2 = 660, so number = 660 ÷ 1.2 = 550.

12. The price of an item is first increased by 30% and then decreased by 50%. What is the net change?

  1. 35% increase
  2. 20% decrease
  3. 37% decrease
  4. 35% decrease
Answer

D. 35% decrease Net change = 30 − 50 − (30 × 50)/100 = -35%, a decrease of 35%.

13. What is 30% of 380?

  1. 125
  2. 113
  3. 114
  4. 112
Answer

C. 114 30% of 380 = 30/100 × 380 = 114.

14. To pass an exam a student needs 40% of the total marks. She scored 313 marks and failed by 7 marks. What are the total marks?

  1. 880
  2. 798
  3. 1000
  4. 800
Answer

D. 800 Pass marks = 313 + 7 = 320. 40% of total = 320, so total = 320 × 100/40 = 800.

15. A's income is 60% more than B's. By what percent is B's income less than A's?

  1. 30%
  2. 34.5%
  3. 37.5%
  4. 60%
Answer

C. 37.5% Let B = 100, then A = 160. B is less by 60/160 × 100 = 37.5%.

16. A number increased by 25% becomes 1250. What is the number?

  1. 998
  2. 999
  3. 750
  4. 1000
Answer

D. 1000 Number × 1.25 = 1250, so number = 1250 ÷ 1.25 = 1000.

17. The price of an item is first increased by 10% and then decreased by 25%. What is the net change?

  1. 15% decrease
  2. 17.5% decrease
  3. 17.5% increase
  4. 19.5% decrease
Answer

B. 17.5% decrease Net change = 10 − 25 − (10 × 25)/100 = -17.5%, a decrease of 17.5%.

18. What is 35% of 480?

  1. 210
  2. 168
  3. 202
  4. 185
Answer

B. 168 35% of 480 = 35/100 × 480 = 168.

19. To pass an exam a student needs 55% of the total marks. She scored 211 marks and failed by 9 marks. What are the total marks?

  1. 401
  2. 500
  3. 400
  4. 480
Answer

C. 400 Pass marks = 211 + 9 = 220. 55% of total = 220, so total = 220 × 100/55 = 400.

20. A's income is 75% more than B's. By what percent is B's income less than A's?

  1. 47.86%
  2. 42.86%
  3. 75%
  4. 37.5%
Answer

B. 42.86% Let B = 100, then A = 175. B is less by 75/175 × 100 = 42.86%.

21. A number increased by 50% becomes 450. What is the number?

  1. 302
  2. 375
  3. 330
  4. 300
Answer

D. 300 Number × 1.5 = 450, so number = 450 ÷ 1.5 = 300.

22. The price of an item is first increased by 40% and then decreased by 20%. What is the net change?

  1. 14% increase
  2. 12% decrease
  3. 20% increase
  4. 12% increase
Answer

D. 12% increase Net change = 40 − 20 − (40 × 20)/100 = 12%, a increase of 12%.

23. What is 30% of 500?

  1. 149
  2. 188
  3. 113
  4. 150
Answer

D. 150 30% of 500 = 30/100 × 500 = 150.

24. To pass an exam a student needs 35% of the total marks. She scored 78 marks and failed by 27 marks. What are the total marks?

  1. 301
  2. 300
  3. 298
  4. 299
Answer

B. 300 Pass marks = 78 + 27 = 105. 35% of total = 105, so total = 105 × 100/35 = 300.

25. A's income is 25% more than B's. By what percent is B's income less than A's?

  1. 20%
  2. 13%
  3. 25%
  4. 17%
Answer

A. 20% Let B = 100, then A = 125. B is less by 25/125 × 100 = 20%.

26. A number increased by 25% becomes 1812.5. What is the number?

  1. 1450
  2. 1088
  3. 1160
  4. 1448
Answer

A. 1450 Number × 1.25 = 1812.5, so number = 1812.5 ÷ 1.25 = 1450.

27. The price of an item is first increased by 30% and then decreased by 30%. What is the net change?

  1. 9% increase
  2. 5% decrease
  3. 9% decrease
  4. 11% decrease
Answer

C. 9% decrease Net change = 30 − 30 − (30 × 30)/100 = -9%, a decrease of 9%.

28. What is 35% of 140?

  1. 44
  2. 50
  3. 54
  4. 49
Answer

D. 49 35% of 140 = 35/100 × 140 = 49.

29. To pass an exam a student needs 30% of the total marks. She scored 71 marks and failed by 19 marks. What are the total marks?

  1. 302
  2. 300
  3. 360
  4. 240
Answer

B. 300 Pass marks = 71 + 19 = 90. 30% of total = 90, so total = 90 × 100/30 = 300.

30. A's income is 50% more than B's. By what percent is B's income less than A's?

  1. 25%
  2. 35.33%
  3. 33.33%
  4. 30.33%
Answer

C. 33.33% Let B = 100, then A = 150. B is less by 50/150 × 100 = 33.33%.

31. A number increased by 30% becomes 1885. What is the number?

  1. 1452
  2. 1449
  3. 1450
  4. 1448
Answer

C. 1450 Number × 1.3 = 1885, so number = 1885 ÷ 1.3 = 1450.

32. The price of an item is first increased by 30% and then decreased by 20%. What is the net change?

  1. 4% decrease
  2. 10% increase
  3. 4% increase
  4. 6% increase
Answer

C. 4% increase Net change = 30 − 20 − (30 × 20)/100 = 4%, a increase of 4%.

33. What is 40% of 420?

  1. 202
  2. 167
  3. 168
  4. 151
Answer

C. 168 40% of 420 = 40/100 × 420 = 168.

34. To pass an exam a student needs 40% of the total marks. She scored 384 marks and failed by 16 marks. What are the total marks?

  1. 1000
  2. 1250
  3. 1200
  4. 999
Answer

A. 1000 Pass marks = 384 + 16 = 400. 40% of total = 400, so total = 400 × 100/40 = 1000.

35. A's income is 10% more than B's. By what percent is B's income less than A's?

  1. 11.09%
  2. 14.09%
  3. 5%
  4. 9.09%
Answer

D. 9.09% Let B = 100, then A = 110. B is less by 10/110 × 100 = 9.09%.

36. The price of an item is first increased by 30% and then decreased by 25%. What is the net change?

  1. 5% decrease
  2. 2.5% increase
  3. 4.5% decrease
  4. 2.5% decrease
Answer

D. 2.5% decrease Net change = 30 − 25 − (30 × 25)/100 = -2.5%, a decrease of 2.5%.

37. What is 45% of 780?

  1. 350
  2. 421
  3. 439
  4. 351
Answer

D. 351 45% of 780 = 45/100 × 780 = 351.

38. To pass an exam a student needs 30% of the total marks. She scored 243 marks and failed by 12 marks. What are the total marks?

  1. 638
  2. 680
  3. 850
  4. 935
Answer

C. 850 Pass marks = 243 + 12 = 255. 30% of total = 255, so total = 255 × 100/30 = 850.

39. The price of an item is first increased by 25% and then decreased by 50%. What is the net change?

  1. 37.5% decrease
  2. 39.5% decrease
  3. 37.5% increase
  4. 25% decrease
Answer

A. 37.5% decrease Net change = 25 − 50 − (25 × 50)/100 = -37.5%, a decrease of 37.5%.

40. What is 45% of 400?

  1. 178
  2. 144
  3. 225
  4. 180
Answer

D. 180 45% of 400 = 45/100 × 400 = 180.

41. To pass an exam a student needs 45% of the total marks. She scored 298 marks and failed by 17 marks. What are the total marks?

  1. 700
  2. 698
  3. 701
  4. 702
Answer

A. 700 Pass marks = 298 + 17 = 315. 45% of total = 315, so total = 315 × 100/45 = 700.

42. The price of an item is first increased by 10% and then decreased by 10%. What is the net change?

  1. 3% decrease
  2. 5% decrease
  3. 1% increase
  4. 1% decrease
Answer

D. 1% decrease Net change = 10 − 10 − (10 × 10)/100 = -1%, a decrease of 1%.

43. What is 45% of 120?

  1. 53
  2. 68
  3. 54
  4. 52
Answer

C. 54 45% of 120 = 45/100 × 120 = 54.

44. To pass an exam a student needs 55% of the total marks. She scored 515.5 marks and failed by 7 marks. What are the total marks?

  1. 952
  2. 948
  3. 950
  4. 760
Answer

C. 950 Pass marks = 515.5 + 7 = 522.5. 55% of total = 522.5, so total = 522.5 × 100/55 = 950.

45. The price of an item is first increased by 20% and then decreased by 50%. What is the net change?

  1. 40% decrease
  2. 40% increase
  3. 42% decrease
  4. 30% decrease
Answer

A. 40% decrease Net change = 20 − 50 − (20 × 50)/100 = -40%, a decrease of 40%.

46. What is 25% of 300?

  1. 94
  2. 76
  3. 90
  4. 75
Answer

D. 75 25% of 300 = 25/100 × 300 = 75.

47. To pass an exam a student needs 40% of the total marks. She scored 295 marks and failed by 5 marks. What are the total marks?

  1. 750
  2. 563
  3. 749
  4. 752
Answer

A. 750 Pass marks = 295 + 5 = 300. 40% of total = 300, so total = 300 × 100/40 = 750.

48. The price of an item is first increased by 50% and then decreased by 50%. What is the net change?

  1. 5% decrease
  2. 25% decrease
  3. 27% decrease
  4. 25% increase
Answer

B. 25% decrease Net change = 50 − 50 − (50 × 50)/100 = -25%, a decrease of 25%.

49. What is 45% of 240?

  1. 108
  2. 135
  3. 106
  4. 109
Answer

A. 108 45% of 240 = 45/100 × 240 = 108.

50. To pass an exam a student needs 40% of the total marks. She scored 191 marks and failed by 9 marks. What are the total marks?

  1. 375
  2. 625
  3. 500
  4. 501
Answer

C. 500 Pass marks = 191 + 9 = 200. 40% of total = 200, so total = 200 × 100/40 = 500.

51. In a batch of 680 items, 50% are defective. How many items are defective?

  1. 343
  2. 338
  3. 350
  4. 340
Answer

D. 340 Defective items = 680 × 50/100 = 340.

52. In a batch of 1090 items, 90% are defective. How many items are defective?

  1. 974
  2. 988
  3. 981
  4. 980
Answer

C. 981 Defective items = 1090 × 90/100 = 981.

53. In a batch of 850 items, 100% are defective. How many items are defective?

  1. 851
  2. 850
  3. 857
  4. 855
Answer

B. 850 Defective items = 850 × 100/100 = 850.

54. In a batch of 910 items, 50% are defective. How many items are defective?

  1. 456
  2. 455
  3. 453
  4. 452
Answer

B. 455 Defective items = 910 × 50/100 = 455.

55. In a batch of 380 items, 65% are defective. How many items are defective?

  1. 237
  2. 248
  3. 247
  4. 244
Answer

C. 247 Defective items = 380 × 65/100 = 247.

56. In a batch of 780 items, 25% are defective. How many items are defective?

  1. 195
  2. 194
  3. 190
  4. 188
Answer

A. 195 Defective items = 780 × 25/100 = 195.

57. In a batch of 700 items, 30% are defective. How many items are defective?

  1. 213
  2. 200
  3. 207
  4. 210
Answer

D. 210 Defective items = 700 × 30/100 = 210.

58. In a batch of 800 items, 70% are defective. How many items are defective?

  1. 560
  2. 563
  3. 559
  4. 555
Answer

A. 560 Defective items = 800 × 70/100 = 560.

59. In a batch of 200 items, 15% are defective. How many items are defective?

  1. 20
  2. 30
  3. 23
  4. 32
Answer

B. 30 Defective items = 200 × 15/100 = 30.

60. In a batch of 260 items, 75% are defective. How many items are defective?

  1. 196
  2. 205
  3. 195
  4. 185
Answer

C. 195 Defective items = 260 × 75/100 = 195.

61. In a batch of 350 items, 90% are defective. How many items are defective?

  1. 325
  2. 316
  3. 315
  4. 317
Answer

C. 315 Defective items = 350 × 90/100 = 315.

62. In a batch of 250 items, 10% are defective. How many items are defective?

  1. 24
  2. 25
  3. 15
  4. 35
Answer

B. 25 Defective items = 250 × 10/100 = 25.

Mock test

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