Percentage Questions For Competitive Exams

1. What is 25% of 80?

a) 15
b) 20
c) 25
d) 30

Solution: b) 20
Explanation: 25% = 1/4, so 25% of 80 = 80 ÷ 4 = 20

2. If a shirt's price is increased by 20%, what is the new price if it originally cost $50?
a) $55
b) $60
c) $65
d) $70

Solution: b) $60
Explanation: 20% of $50 = $10, so new price = $50 + $10 = $60

3. A store offers a 15% discount on a $200 item. What is the discounted price?
a) $160
b) $170
c) $180
d) $185

Solution: b) $170
Explanation: 15% of $200 = $30, so discounted price = $200 - $30 = $170

4. If 30% of a number is 45, what is the number?

a) 120
b) 135
c) 150
d) 165

Solution: c) 150
Explanation: Let x be the number. 30% of x = 45, so 0.3x = 45. x = 45 ÷ 0.3 = 150

5. What percentage of 200 is 50?

a) 20%
b) 25%

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 c) 30%
d) 35%

Solution: b) 25%
Explanation: (50 ÷ 200) × 100 = 25%

6. If a population increases from 1000 to 1200, what is the percentage increase?

a) 15%
b) 20%
c) 25%
d) 30%

Solution: b) 20%
Explanation: Increase = 200, Percentage increase = (200 ÷ 1000) × 100 = 20%

7. A car depreciates by 8% annually. After one year, what will be its value if it originally cost
$25,000?
a) $22,500
b) $23,000
c) $23,500
d) $24,000

Solution: b) $23,000
Explanation: Depreciation = 8% of $25,000 = $2,000, so new value = $25,000 - $2,000 =
$23,000

8. What is 150% of 80?

a) 100
b) 110
c) 120
d) 130

Solution: c) 120
Explanation: 150% = 1.5, so 150% of 80 = 80 × 1.5 = 120

9. If 75% of students passed an exam, what percentage failed?

a) 15%
b) 20%
c) 25%
d) 30%

Solution: c) 25%
Explanation: If 75% passed, then 100% - 75% = 25% failed

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10. A company's profits increased by 25% from $80,000 to what amount?
a) $90,000
b) $95,000
c) $100,000
d) $105,000

Solution: c) $100,000
Explanation: 25% of $80,000 = $20,000, so new profit = $80,000 + $20,000 = $100,000

11. If 60% of a number is 72, what is 40% of the same number?

a) 36
b) 42
c) 48
d) 54

Solution: c) 48
Explanation: If 60% is 72, the whole number is 72 ÷ 0.6 = 120. 40% of 120 = 0.4 × 120 = 48

12. A shirt was on sale for $45, which was 10% off the original price. What was the original
price?
a) $49
b) $50
c) $55
d) $60

Solution: b) $50
Explanation: $45 represents 90% of the original price. So, original price = $45 ÷ 0.9 = $50

13. What is the percentage decrease when a number changes from 80 to 60?
a) 20%
b) 25%
c) 30%
d) 33.33%

Solution: b) 25%
Explanation: Decrease = 20, Percentage decrease = (20 ÷ 80) × 100 = 25%

14. If 35% of a number is 63, what is 65% of the same number?

a) 107
b) 117
c) 127
d) 137

Solution: b) 117

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 Explanation: If 35% is 63, the whole number is 63 ÷ 0.35 = 180. 65% of 180 = 0.65 × 180 =
117

15. A store increases all prices by 20% and then offers a 10% discount. What is the net price
change?
a) 8% increase
b) 10% increase
c) 12% increase
d) 14% increase

Solution: a) 8% increase
Explanation: New price after 20% increase = 120%. After 10% discount: 120% × 0.9 = 108%,
which is an 8% increase

16. What percentage of 250 is 75?

a) 25%
b) 28%
c) 30%
d) 33%

Solution: c) 30%
Explanation: (75 ÷ 250) × 100 = 30%

17. If a number is increased by 40% and then decreased by 40%, what is the overall percentage
change?
a) 0% (no change)
b) 4% decrease
c) 16% decrease
d) 20% decrease

Solution: c) 16% decrease

Explanation: After 40% increase: 140%. After 40% decrease: 140% × 0.6 = 84%, which is a
16% decrease

18. What is 33.33% of 150?

a) 45
b) 50
c) 55
d) 60

Solution: b) 50
Explanation: 33.33% = 1/3, so 33.33% of 150 = 150 ÷ 3 = 50

19. If 80% of a number is equal to 64, what is 30% of the same number?

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 a) 18
b) 20
c) 22
d) 24

Solution: d) 24
Explanation: If 80% is 64, the whole number is 64 ÷ 0.8 = 80. 30% of 80 = 0.3 × 80 = 24

20. A car's value depreciated from $20,000 to $17,000 in one year. What was the percentage
depreciation?
a) 12%
b) 13%
c) 14%
d) 15%

Solution: d) 15%
Explanation: Depreciation = $3,000, Percentage depreciation = (3000 ÷ 20000) × 100 = 15%

21. If a person's salary increases from $40,000 to $46,000, what is the percentage increase?
a) 10%
b) 12%
c) 15%
d) 18%

Solution: c) 15%
Explanation: Increase = $6,000, Percentage increase = (6000 ÷ 40000) × 100 = 15%

22. What is 62.5% of 240?

a) 140
b) 150
c) 160
d) 170

Solution: b) 150
Explanation: 62.5% = 5/8, so 62.5% of 240 = (5/8) × 240 = 150

23. If 45% of a number is 90, what is 75% of the same number?

a) 120
b) 140
c) 150
d) 160

Solution: c) 150

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 Explanation: If 45% is 90, the whole number is 90 ÷ 0.45 = 200. 75% of 200 = 0.75 × 200 =
150

24. A store offers a 30% discount on a $80 item. What is the discounted price?
a) $54
b) $56
c) $58
d) $60

Solution: b) $56
Explanation: 30% of $80 = $24, so discounted price = $80 - $24 = $56

25. What percentage of 120 is 84?

a) 65%
b) 70%
c) 75%
d) 80%

Solution: b) 70%
Explanation: (84 ÷ 120) × 100 = 70%

26. If a number decreases from 500 to 400, what is the percentage decrease?
a) 15%
b) 20%
c) 25%
d) 30%

Solution: b) 20%
Explanation: Decrease = 100, Percentage decrease = (100 ÷ 500) × 100 = 20%

27. What is 175% of 60?

a) 95
b) 100
c) 105
d) 110

Solution: c) 105
Explanation: 175% = 1.75, so 175% of 60 = 60 × 1.75 = 105

28. If 22% of a number is 55, what is the number?

a) 200
b) 225
c) 250
d) 275

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 Solution: c) 250
Explanation: Let x be the number. 22% of x = 55, so 0.22x = 55. x = 55 ÷ 0.22 = 250

29. A company's profits decreased by 18% from $200,000 to what amount?

a) $156,000
b) $160,000
c) $164,000
d) $168,000

Solution: c) $164,000
Explanation: 18% of $200,000 = $36,000, so new profit = $200,000 - $36,000 = $164,000

30. If 40% of students are boys and there are 90 girls in the class, how many students are there
in total?
a) 120
b) 140
c) 150
d) 160

Solution: c) 150
Explanation: If 40% are boys, 60% are girls. 90 girls represent 60%, so total = 90 ÷ 0.6 = 150

31. A shirt's price is reduced by 25%, and then by another 20%. What is the total percentage
reduction?
a) 40%
b) 45%
c) 50%
d) 55%

Solution: b) 45%
Explanation: After 25% reduction: 75%. After 20% reduction: 75% × 0.8 = 60%, which is a
40% reduction

32. What is 66.67% of 300?

a) 180
b) 200
c) 220
d) 240

Solution: b) 200
Explanation: 66.67% = 2/3, so 66.67% of 300 = (2/3) × 300 = 200

33. If 85% of a number is 68, what is 35% of the same number?

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 a) 24
b) 26
c) 28
d) 30

Solution: c) 28
Explanation: If 85% is 68, the whole number is 68 ÷ 0.85 = 80. 35% of 80 = 0.35 × 80 = 28

34. A car's value appreciated from $15,000 to $18,000 in one year. What was the percentage
appreciation?
a) 15%
b) 18%
c) 20%
d) 25%

Solution: c) 20%
Explanation: Appreciation = $3,000, Percentage appreciation = (3000 ÷ 15000) × 100 = 20%

35. What percentage is 27 of 135?

a) 15%
b) 18%
c) 20%
d) 22%

Solution: c) 20%
Explanation: (27 ÷ 135) × 100 = 20%

36. If a number is decreased by 30% and then increased by 30%, what is the overall percentage
change?
a) 0% (no change)
b) 5% decrease
c) 9% decrease
d) 12% decrease

Solution: c) 9% decrease
Explanation: After 30% decrease: 70%. After 30% increase: 70% × 1.3 = 91%, which is a 9%
decrease

37. What is 37.5% of 160?

a) 50
b) 55
c) 60
d) 65

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 Solution: c) 60
Explanation: 37.5% = 3/8, so 37.5% of 160 = (3/8) × 160 = 60

38. If 70% of a number is equal to 56, what is 45% of the same number?
a) 32
b) 34
c) 36
d) 38

Solution: c) 36
Explanation: If 70% is 56, the whole number is 56 ÷ 0.7 = 80. 45% of 80 = 0.45 × 80 = 36

39. A store increases all prices by 15% and then offers a 15% discount. What is the net price
change?
a) 0% (no change)
b) 2.25% decrease
c) 2.25% increase
d) 5% decrease

Solution: b) 2.25% decrease

Explanation: New price after 15% increase: 115%. After 15% discount: 115% × 0.85 =
97.75%, which is a 2.25% decrease

40. If 55% of a number is 88, what is the number?

a) 150
b) 160
c) 170
d) 180

Solution: b) 160
Explanation: Let x be the number. 55% of x = 88, so 0.55x = 88. x = 88 ÷ 0.55 = 160

41. If a population decreases from 5000 to 4250, what is the percentage decrease?
a) 10%
b) 12%
c) 15%
d) 18%

Solution: c) 15%
Explanation: Decrease = 750, Percentage decrease = (750 ÷ 5000) × 100 = 15%

42. What is 87.5% of 320?

a) 260
b) 270

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 c) 280
d) 290

Solution: c) 280
Explanation: 87.5% = 7/8, so 87.5% of 320 = (7/8) × 320 = 280

43. If 65% of a number is 130, what is 40% of the same number?

a) 70
b) 75
c) 80
d) 85

Solution: c) 80
Explanation: If 65% is 130, the whole number is 130 ÷ 0.65 = 200. 40% of 200 = 0.4 × 200 =
80

44. A store offers a 40% discount on a $150 item. What is the discounted price?
a) $80
b) $85
c) $90
d) $95

Solution: c) $90
Explanation: 40% of $150 = $60, so discounted price = $150 - $60 = $90

45. What percentage of 225 is 135?

a) 55%
b) 60%
c) 65%
d) 70%

Solution: b) 60%
Explanation: (135 ÷ 225) × 100 = 60%

46. If a number increases from 80 to 104, what is the percentage increase?

a) 25%
b) 28%
c) 30%
d) 32%

Solution: c) 30%
Explanation: Increase = 24, Percentage increase = (24 ÷ 80) × 100 = 30%

47. What is 225% of 40?

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 a) 80
b) 85
c) 90
d) 95

Solution: c) 90
Explanation: 225% = 2.25, so 225% of 40 = 40 × 2.25 = 90

48. If 18% of a number is 54, what is the number?

a) 280
b) 290
c) 300
d) 310

Solution: c) 300
Explanation: Let x be the number. 18% of x = 54, so 0.18x = 54. x = 54 ÷ 0.18 = 300

49. A company's profits increased by 22% from $250,000 to what amount?

a) $295,000
b) $300,000
c) $305,000
d) $310,000

Solution: c) $305,000
Explanation: 22% of $250,000 = $55,000, so new profit = $250,000 + $55,000 = $305,000

50. If 75% of students are girls and there are 60 boys in the class, how many students are there
in total?
a) 220
b) 230
c) 240
d) 250

Solution: c) 240
Explanation: If 75% are girls, 25% are boys. 60 boys represent 25%, so total = 60 ÷ 0.25 =
240

51. A shirt's price is increased by 20%, and then decreased by 25%. What is the total
percentage change?
a) 5% decrease
b) 10% decrease
c) 5% increase
d) 10% increase

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 Solution: b) 10% decrease
Explanation: After 20% increase: 120%. After 25% decrease: 120% × 0.75 = 90%, which is a
10% decrease

52. What is 83.33% of 360?

a) 280
b) 290
c) 300
d) 310

Solution: c) 300
Explanation: 83.33% = 5/6, so 83.33% of 360 = (5/6) × 360 = 300

53. If 92% of a number is 115, what is 40% of the same number?

a) 45
b) 50
c) 55
d) 60

Solution: b) 50
Explanation: If 92% is 115, the whole number is 115 ÷ 0.92 = 125. 40% of 125 = 0.4 × 125 =
50

54. A car's value depreciated from $30,000 to $25,500 in one year. What was the percentage
depreciation?
a) 12%
b) 15%
c) 18%
d) 20%

Solution: b) 15%
Explanation: Depreciation = $4,500, Percentage depreciation = (4500 ÷ 30000) × 100 = 15%

55. What percentage is 56 of 175?

a) 30%
b) 32%
c) 34%
d) 36%

Solution: b) 32%
Explanation: (56 ÷ 175) × 100 = 32%

56. If a number is increased by 50% and then decreased by 50%, what is the overall percentage
change?

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 a) 0% (no change)
b) 20% decrease
c) 25% decrease
d) 30% decrease

Solution: c) 25% decrease

Explanation: After 50% increase: 150%. After 50% decrease: 150% × 0.5 = 75%, which is a
25% decrease

57. What is 112.5% of 80?

a) 80
b) 85
c) 90
d) 95

Solution: c) 90
Explanation: 112.5% = 9/8, so 112.5% of 80 = (9/8) × 80 = 90

58. If 80% of a number is equal to 96, what is 35% of the same number?
a) 38
b) 40
c) 42
d) 44

Solution: c) 42
Explanation: If 80% is 96, the whole number is 96 ÷ 0.8 = 120. 35% of 120 = 0.35 × 120 = 42

59. A store decreases all prices by 20% and then offers an additional 10% discount. What is the
total percentage discount?
a) 26%
b) 28%
c) 30%
d) 32%

Solution: b) 28%
Explanation: After 20% decrease: 80%. After additional 10% discount: 80% × 0.9 = 72%,
which is a 28% total discount

60. If 42% of a number is 63, what is the number?

a) 140
b) 145
c) 150
d) 155

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Solution: c) 150
Explanation: Let x be the number. 42% of x = 63, so 0.42x = 63. x = 63 ÷ 0.42 = 150

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