Percentages Part 2 Competitive Exams
100 questions · Mathematics
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Question 1 of 100
A number is first increased by 25% and then increased by 30%. What is the net percentage change?
ExplanationNet change = [(1+25/100)(1+30/100) - 1] x 100 = 62.5% (increase).
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Question 2 of 100
60% of a number is 24. What is the number?
ExplanationLet the number be N. 60% of N = 24 => N = 24 x 100/60 = 40.
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Question 3 of 100
What percentage of 500 is 50?
ExplanationRequired percentage = (50/500) x 100 = 10%.
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Question 4 of 100
A student scored 495 marks out of 900 in an examination. What percentage did the student score?
ExplanationPercentage = (495/900) x 100 = 55%.
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Question 5 of 100
A number is first increased by 10% and then increased by 10%. What is the net percentage change?
ExplanationNet change = [(1+10/100)(1+10/100) - 1] x 100 = 21.0% (increase).
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Question 6 of 100
30% of a number is 24. What is the number?
ExplanationLet the number be N. 30% of N = 24 => N = 24 x 100/30 = 80.
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Question 7 of 100
5% of a number is 6. What is the number?
ExplanationLet the number be N. 5% of N = 6 => N = 6 x 100/5 = 120.
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Question 8 of 100
To pass an examination, a candidate needs 45% marks. A student scored 120 marks out of 700 and failed. By how many marks did the student fail?
ExplanationPassing marks = 45% of 700 = 315. Marks short = 315 - 120 = 195.
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Question 9 of 100
80% of a number is 120. What is the number?
ExplanationLet the number be N. 80% of N = 120 => N = 120 x 100/80 = 150.
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Question 10 of 100
A number is first increased by 25% and then increased by 15%. What is the net percentage change?
ExplanationNet change = [(1+25/100)(1+15/100) - 1] x 100 = 43.75% (increase).
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Question 11 of 100
To pass an examination, a candidate needs 40% marks. A student scored 100 marks out of 500 and failed. By how many marks did the student fail?
ExplanationPassing marks = 40% of 500 = 200. Marks short = 200 - 100 = 100.
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Question 12 of 100
What percentage of 60 is 21?
ExplanationRequired percentage = (21/60) x 100 = 35%.
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Question 13 of 100
What is 50% of 150?
Explanation50% of 150 = (50/100) x 150 = 75.
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Question 14 of 100
What is 50% of 200?
Explanation50% of 200 = (50/100) x 200 = 100.
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Question 15 of 100
A quantity decreases from 300 to 180. What is the percentage decrease?
ExplanationPercentage decrease = ((Old - New)/Old) x 100 = ((300-180)/300) x 100 = 40%.
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Question 16 of 100
What percentage of 120 is 30?
ExplanationRequired percentage = (30/120) x 100 = 25%.
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Question 17 of 100
A student scored 300 marks out of 500 in an examination. What percentage did the student score?
ExplanationPercentage = (300/500) x 100 = 60%.
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Question 18 of 100
A quantity increases from 160 to 208. What is the percentage increase?
ExplanationPercentage increase = ((New - Old)/Old) x 100 = ((208-160)/160) x 100 = 30%.
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Question 19 of 100
To pass an examination, a candidate needs 50% marks. A student scored 150 marks out of 600 and failed. By how many marks did the student fail?
ExplanationPassing marks = 50% of 600 = 300. Marks short = 300 - 150 = 150.
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Question 20 of 100
What is 10% of 180?
Explanation10% of 180 = (10/100) x 180 = 18.
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Question 21 of 100
75% of a number is 30. What is the number?
ExplanationLet the number be N. 75% of N = 30 => N = 30 x 100/75 = 40.
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Question 22 of 100
A student scored 40 marks out of 100 in an examination. What percentage did the student score?
ExplanationPercentage = (40/100) x 100 = 40%.
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Question 23 of 100
What is 15% of 200?
Explanation15% of 200 = (15/100) x 200 = 30.
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Question 24 of 100
A quantity increases from 180 to 189. What is the percentage increase?
ExplanationPercentage increase = ((New - Old)/Old) x 100 = ((189-180)/180) x 100 = 5%.
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Question 25 of 100
A number is first decreased by 10% and then decreased by 20%. What is the net percentage change?
ExplanationNet change = [(1-10/100)(1-20/100) - 1] x 100 = -28.0% (decrease).
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Question 26 of 100
A student scored 240 marks out of 300 in an examination. What percentage did the student score?
ExplanationPercentage = (240/300) x 100 = 80%.
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Question 27 of 100
60% of a number is 120. What is the number?
ExplanationLet the number be N. 60% of N = 120 => N = 120 x 100/60 = 200.
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Question 28 of 100
The price of an item increases by 20%. By what percentage must a family reduce its consumption of the item so that expenditure remains the same?
ExplanationRequired reduction = [20/(100+20)] x 100 = 16.67%.
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Question 29 of 100
What is 35% of 120?
Explanation35% of 120 = (35/100) x 120 = 42.
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Question 30 of 100
A number is first decreased by 10% and then decreased by 25%. What is the net percentage change?
ExplanationNet change = [(1-10/100)(1-25/100) - 1] x 100 = -32.5% (decrease).
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Question 31 of 100
A student scored 210 marks out of 300 in an examination. What percentage did the student score?
ExplanationPercentage = (210/300) x 100 = 70%.
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Question 32 of 100
A quantity decreases from 500 to 475. What is the percentage decrease?
ExplanationPercentage decrease = ((Old - New)/Old) x 100 = ((500-475)/500) x 100 = 5%.
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Question 33 of 100
What is 80% of 700?
Explanation80% of 700 = (80/100) x 700 = 560.
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Question 34 of 100
10% of a number is 30. What is the number?
ExplanationLet the number be N. 10% of N = 30 => N = 30 x 100/10 = 300.
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Question 35 of 100
75% of a number is 45. What is the number?
ExplanationLet the number be N. 75% of N = 45 => N = 45 x 100/75 = 60.
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Question 36 of 100
A quantity increases from 100 to 120. What is the percentage increase?
ExplanationPercentage increase = ((New - Old)/Old) x 100 = ((120-100)/100) x 100 = 20%.
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Question 37 of 100
What is 45% of 260?
Explanation45% of 260 = (45/100) x 260 = 117.
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Question 38 of 100
80% of a number is 96. What is the number?
ExplanationLet the number be N. 80% of N = 96 => N = 96 x 100/80 = 120.
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Question 39 of 100
What percentage of 400 is 60?
ExplanationRequired percentage = (60/400) x 100 = 15%.
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Question 40 of 100
A number is first decreased by 20% and then increased by 25%. What is the net percentage change?
ExplanationNet change = [(1-20/100)(1+25/100) - 1] x 100 = 0.0% (no change).
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Question 41 of 100
What is 15% of 180?
Explanation15% of 180 = (15/100) x 180 = 27.
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Question 42 of 100
What percentage of 250 is 150?
ExplanationRequired percentage = (150/250) x 100 = 60%.
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Question 43 of 100
The price of an item increases by 8%. By what percentage must a family reduce its consumption of the item so that expenditure remains the same?
ExplanationRequired reduction = [8/(100+8)] x 100 = 7.41%.
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Question 44 of 100
The population of a town is 10000. If it increases at the rate of 20% per annum, what will be the population after 1 year?
ExplanationNew population = 10000 x (1 + 20/100) = 12000.
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Question 45 of 100
The price of an item increases by 60%. By what percentage must a family reduce its consumption of the item so that expenditure remains the same?
ExplanationRequired reduction = [60/(100+60)] x 100 = 37.5%.
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Question 46 of 100
A student scored 200 marks out of 400 in an examination. What percentage did the student score?
ExplanationPercentage = (200/400) x 100 = 50%.
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Question 47 of 100
A quantity increases from 200 to 280. What is the percentage increase?
ExplanationPercentage increase = ((New - Old)/Old) x 100 = ((280-200)/200) x 100 = 40%.
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Question 48 of 100
A quantity decreases from 80 to 64. What is the percentage decrease?
ExplanationPercentage decrease = ((Old - New)/Old) x 100 = ((80-64)/80) x 100 = 20%.
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Question 49 of 100
The population of a town is 25000. If it increases at the rate of 25% per annum, what will be the population after 1 year?
ExplanationNew population = 25000 x (1 + 25/100) = 31250.
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Question 50 of 100
A quantity decreases from 500 to 250. What is the percentage decrease?
ExplanationPercentage decrease = ((Old - New)/Old) x 100 = ((500-250)/500) x 100 = 50%.
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Question 51 of 100
The price of an item increases by 16%. By what percentage must a family reduce its consumption of the item so that expenditure remains the same?
ExplanationRequired reduction = [16/(100+16)] x 100 = 13.79%.
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Question 52 of 100
What is 12% of 800?
Explanation12% of 800 = (12/100) x 800 = 96.
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Question 53 of 100
What percentage of 120 is 84?
ExplanationRequired percentage = (84/120) x 100 = 70%.
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Question 54 of 100
A number is first decreased by 10% and then decreased by 15%. What is the net percentage change?
ExplanationNet change = [(1-10/100)(1-15/100) - 1] x 100 = -23.5% (decrease).
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Question 55 of 100
The population of a town is 40000. If it increases at the rate of 25% per annum, what will be the population after 1 year?
ExplanationNew population = 40000 x (1 + 25/100) = 50000.
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Question 56 of 100
What percentage of 40 is 2?
ExplanationRequired percentage = (2/40) x 100 = 5%.
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Question 57 of 100
A student scored 520 marks out of 800 in an examination. What percentage did the student score?
ExplanationPercentage = (520/800) x 100 = 65%.
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Question 58 of 100
20% of a number is 8. What is the number?
ExplanationLet the number be N. 20% of N = 8 => N = 8 x 100/20 = 40.
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Question 59 of 100
What percentage of 100 is 30?
ExplanationRequired percentage = (30/100) x 100 = 30%.
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Question 60 of 100
What is 25% of 1000?
Explanation25% of 1000 = (25/100) x 1000 = 250.
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Question 61 of 100
The price of an item increases by 25%. By what percentage must a family reduce its consumption of the item so that expenditure remains the same?
ExplanationRequired reduction = [25/(100+25)] x 100 = 20.0%.
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Question 62 of 100
What is 60% of 240?
Explanation60% of 240 = (60/100) x 240 = 144.
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Question 63 of 100
A quantity increases from 120 to 126. What is the percentage increase?
ExplanationPercentage increase = ((New - Old)/Old) x 100 = ((126-120)/120) x 100 = 5%.
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Question 64 of 100
A number is first decreased by 10% and then decreased by 10%. What is the net percentage change?
ExplanationNet change = [(1-10/100)(1-10/100) - 1] x 100 = -19.0% (decrease).
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Question 65 of 100
A number is first increased by 25% and then decreased by 25%. What is the net percentage change?
ExplanationNet change = [(1+25/100)(1-25/100) - 1] x 100 = -6.25% (decrease).
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Question 66 of 100
A quantity decreases from 100 to 75. What is the percentage decrease?
ExplanationPercentage decrease = ((Old - New)/Old) x 100 = ((100-75)/100) x 100 = 25%.
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Question 67 of 100
What is 15% of 700?
Explanation15% of 700 = (15/100) x 700 = 105.
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Question 68 of 100
What is 70% of 140?
Explanation70% of 140 = (70/100) x 140 = 98.
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Question 69 of 100
What is 5% of 180?
Explanation5% of 180 = (5/100) x 180 = 9.
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Question 70 of 100
A quantity decreases from 400 to 280. What is the percentage decrease?
ExplanationPercentage decrease = ((Old - New)/Old) x 100 = ((400-280)/400) x 100 = 30%.
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Question 71 of 100
To pass an examination, a candidate needs 35% marks. A student scored 120 marks out of 900 and failed. By how many marks did the student fail?
ExplanationPassing marks = 35% of 900 = 315. Marks short = 315 - 120 = 195.
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Question 72 of 100
To pass an examination, a candidate needs 45% marks. A student scored 250 marks out of 600 and failed. By how many marks did the student fail?
ExplanationPassing marks = 45% of 600 = 270. Marks short = 270 - 250 = 20.
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Question 73 of 100
A student scored 231 marks out of 700 in an examination. What percentage did the student score?
ExplanationPercentage = (231/700) x 100 = 33%.
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Question 74 of 100
A quantity decreases from 120 to 96. What is the percentage decrease?
ExplanationPercentage decrease = ((Old - New)/Old) x 100 = ((120-96)/120) x 100 = 20%.
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Question 75 of 100
The price of an item increases by 50%. By what percentage must a family reduce its consumption of the item so that expenditure remains the same?
ExplanationRequired reduction = [50/(100+50)] x 100 = 33.33%.
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Question 76 of 100
The population of a town is 20000. If it increases at the rate of 25% per annum, what will be the population after 1 year?
ExplanationNew population = 20000 x (1 + 25/100) = 25000.
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Question 77 of 100
The population of a town is 80000. If it increases at the rate of 25% per annum, what will be the population after 1 year?
ExplanationNew population = 80000 x (1 + 25/100) = 100000.
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Question 78 of 100
A number is first increased by 25% and then increased by 25%. What is the net percentage change?
ExplanationNet change = [(1+25/100)(1+25/100) - 1] x 100 = 56.25% (increase).
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Question 79 of 100
The price of an item increases by 15%. By what percentage must a family reduce its consumption of the item so that expenditure remains the same?
ExplanationRequired reduction = [15/(100+15)] x 100 = 13.04%.
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Question 80 of 100
What is 32% of 400?
Explanation32% of 400 = (32/100) x 400 = 128.
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Question 81 of 100
What percentage of 60 is 6?
ExplanationRequired percentage = (6/60) x 100 = 10%.
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Question 82 of 100
A quantity increases from 500 to 600. What is the percentage increase?
ExplanationPercentage increase = ((New - Old)/Old) x 100 = ((600-500)/500) x 100 = 20%.
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Question 83 of 100
To pass an examination, a candidate needs 35% marks. A student scored 200 marks out of 1000 and failed. By how many marks did the student fail?
ExplanationPassing marks = 35% of 1000 = 350. Marks short = 350 - 200 = 150.
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Question 84 of 100
A number is first increased by 25% and then decreased by 15%. What is the net percentage change?
ExplanationNet change = [(1+25/100)(1-15/100) - 1] x 100 = 6.25% (increase).
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Question 85 of 100
A quantity decreases from 100 to 80. What is the percentage decrease?
ExplanationPercentage decrease = ((Old - New)/Old) x 100 = ((100-80)/100) x 100 = 20%.
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Question 86 of 100
A number is first increased by 30% and then decreased by 10%. What is the net percentage change?
ExplanationNet change = [(1+30/100)(1-10/100) - 1] x 100 = 17.0% (increase).
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Question 87 of 100
What is 10% of 250?
Explanation10% of 250 = (10/100) x 250 = 25.
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Question 88 of 100
What is 40% of 150?
Explanation40% of 150 = (40/100) x 150 = 60.
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Question 89 of 100
The population of a town is 100000. If it increases at the rate of 20% per annum, what will be the population after 1 year?
ExplanationNew population = 100000 x (1 + 20/100) = 120000.
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Question 90 of 100
A quantity increases from 60 to 78. What is the percentage increase?
ExplanationPercentage increase = ((New - Old)/Old) x 100 = ((78-60)/60) x 100 = 30%.
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Question 91 of 100
The population of a town is 100000. If it increases at the rate of 5% per annum, what will be the population after 1 year?
ExplanationNew population = 100000 x (1 + 5/100) = 105000.
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Question 92 of 100
A student scored 325 marks out of 500 in an examination. What percentage did the student score?
ExplanationPercentage = (325/500) x 100 = 65%.
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Question 93 of 100
25% of a number is 30. What is the number?
ExplanationLet the number be N. 25% of N = 30 => N = 30 x 100/25 = 120.
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Question 94 of 100
A quantity decreases from 50 to 44. What is the percentage decrease?
ExplanationPercentage decrease = ((Old - New)/Old) x 100 = ((50-44)/50) x 100 = 12%.
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Question 95 of 100
What percentage of 200 is 20?
ExplanationRequired percentage = (20/200) x 100 = 10%.
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Question 96 of 100
To pass an examination, a candidate needs 33% marks. A student scored 200 marks out of 1000 and failed. By how many marks did the student fail?
ExplanationPassing marks = 33% of 1000 = 330. Marks short = 330 - 200 = 130.
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Question 97 of 100
10% of a number is 12. What is the number?
ExplanationLet the number be N. 10% of N = 12 => N = 12 x 100/10 = 120.
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Question 98 of 100
A quantity increases from 250 to 325. What is the percentage increase?
ExplanationPercentage increase = ((New - Old)/Old) x 100 = ((325-250)/250) x 100 = 30%.
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Question 99 of 100
A quantity decreases from 100 to 70. What is the percentage decrease?
ExplanationPercentage decrease = ((Old - New)/Old) x 100 = ((100-70)/100) x 100 = 30%.
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Question 100 of 100
A quantity increases from 60 to 69. What is the percentage increase?
ExplanationPercentage increase = ((New - Old)/Old) x 100 = ((69-60)/60) x 100 = 15%.
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