Percentage MCQs
Practice Percentage MCQs with answers and detailed explanations. Learn percentage calculations, increase and decrease percentages, profit and loss percentages, discounts, percentage change and exam-oriented quantitative aptitude questions designed for SSC, Railway, Banking, UPSC, JKSSB, Police, Teaching and other competitive exams.
Question #201
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A student scored 30% marks and failed by 45 marks. Another scored 42% marks and got 45 more than pass. Pass marks:
Correct Answer: Option B
Explanation:
0.3M + 45 = 0.42M - 45 → 0.12M = 90 → M=750. Pass = 0.3×750+45 = 270.
0.3M + 45 = 0.42M - 45 → 0.12M = 90 → M=750. Pass = 0.3×750+45 = 270.
This question belongs to:
Maths
Percentage
Question #202
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A man spends 75% of his income. Income increases by 20%, expenditure by 10%. % change in savings:
Correct Answer: Option A
Explanation:
Let income 100, exp 75, sav 25. New income 120, exp 82.5, sav 37.5. Increase 12.5 on 25 = 50%.
Let income 100, exp 75, sav 25. New income 120, exp 82.5, sav 37.5. Increase 12.5 on 25 = 50%.
This question belongs to:
Maths
Percentage
Question #203
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Numerator of a fraction increased by 20%, denominator decreased by 10%, fraction becomes 2/3. Original fraction:
Correct Answer: Option B
Explanation:
(1.2a)/(0.9b) = 2/3 → (4/3)(a/b)=2/3 → a/b = 1/2.
(1.2a)/(0.9b) = 2/3 → (4/3)(a/b)=2/3 → a/b = 1/2.
This question belongs to:
Maths
Percentage
Question #204
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Two numbers are 20% and 50% more than a third number. Their ratio is:
Correct Answer: Option A
Explanation:
Third = 100, first = 120, second = 150, ratio = 120:150 = 4:5.
Third = 100, first = 120, second = 150, ratio = 120:150 = 4:5.
This question belongs to:
Maths
Percentage
Question #205
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A number increased by 20% then by 25% becomes 150. Original number:
Correct Answer: Option B
Explanation:
x × 1.2 × 1.25 = 150 → 1.5x = 150 → x = 100.
x × 1.2 × 1.25 = 150 → 1.5x = 150 → x = 100.
This question belongs to:
Maths
Percentage
Question #206
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Two alloys have copper 60% and 35%. Mixed to get 50% copper. Ratio of mixing:
Correct Answer: Option D
Explanation:
Using alligation: (60-50):(50-35) = 10:15 = 2:3, but the first alloy gives 10% excess, second gives 15% deficit, so ratio 15:10 = 3:2.
Using alligation: (60-50):(50-35) = 10:15 = 2:3, but the first alloy gives 10% excess, second gives 15% deficit, so ratio 15:10 = 3:2.
This question belongs to:
Maths
Percentage
Question #207
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65% passed an exam. Failures = 420. Total examinees:
Correct Answer: Option B
Explanation:
35% = 420, total = 420/0.35 = 1200.
35% = 420, total = 420/0.35 = 1200.
This question belongs to:
Maths
Percentage
Question #208
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20% reduction in sugar price lets a person buy 5 kg more for Rs. 100. Reduced price per kg:
Correct Answer: Option D
Explanation:
Original price x, consumption y, xy=100. New 0.8x(y+5)=100 → 0.8×100 + 4x =100 → x=5, reduced price=Rs.4.
Original price x, consumption y, xy=100. New 0.8x(y+5)=100 → 0.8×100 + 4x =100 → x=5, reduced price=Rs.4.
This question belongs to:
Maths
Percentage
Question #209
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Difference between 44% and 32% of a number is 84. The number is:
Correct Answer: Option D
Explanation:
12% of number = 84 → number = 84/0.12 = 700.
12% of number = 84 → number = 84/0.12 = 700.
This question belongs to:
Maths
Percentage
Question #210
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A's income is 25% more than B's, B's is 20% more than C's. A's income is what percent more than C's?
Correct Answer: Option C
Explanation:
C=100, B=120, A=150, so A is 50% more than C.
C=100, B=120, A=150, so A is 50% more than C.
This question belongs to:
Maths
Percentage
Question #211
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Length of rectangle increased by 10%, breadth decreased by 10%. Percentage change in area:
Correct Answer: Option C
Explanation:
1.1 × 0.9 = 0.99, 1% decrease.
1.1 × 0.9 = 0.99, 1% decrease.
This question belongs to:
Maths
Percentage
Question #212
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Radius of a circle increased by 100%. Percentage increase in area:
Correct Answer: Option A
Explanation:
Area proportional to radius². New radius 2r, area 4 times, increase = 300%.
Area proportional to radius². New radius 2r, area 4 times, increase = 300%.
This question belongs to:
Maths
Percentage
Question #213
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A man gave 40% of money to wife, 50% of remainder to daughter, rest to son. Son got Rs. 3000. Total money:
Correct Answer: Option A
Explanation:
Wife 40%, left 60%, daughter 50% of 60% = 30%, son gets 30% = 3000 → total 10000.
Wife 40%, left 60%, daughter 50% of 60% = 30%, son gets 30% = 3000 → total 10000.
This question belongs to:
Maths
Percentage
Question #214
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Cost article Rs. 200, marked up 40%, then 20% discount. Selling price:
Correct Answer: Option A
Explanation:
Marked = 200×1.4 = 280, SP = 280×0.8 = 224.
Marked = 200×1.4 = 280, SP = 280×0.8 = 224.
This question belongs to:
Maths
Percentage
Question #215
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Fresh fruit has 68% water, dry fruit 20% water. Dry fruit from 100 kg fresh fruit:
Correct Answer: Option D
Explanation:
Dry matter in fresh = 32 kg, in dry fruit 80% is dry matter, weight = 32/0.8 = 40 kg.
Dry matter in fresh = 32 kg, in dry fruit 80% is dry matter, weight = 32/0.8 = 40 kg.
This question belongs to:
Maths
Percentage
Question #216
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Price of a commodity falls by 20%. To keep expenditure constant, consumption must increase by:
Correct Answer: Option C
Explanation:
New price 0.8, consumption multiplier needed = 1/0.8 = 1.25, increase 25%.
New price 0.8, consumption multiplier needed = 1/0.8 = 1.25, increase 25%.
This question belongs to:
Maths
Percentage
Question #217
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In a school, 60% boys, 40% girls. 20% of boys and 30% of girls get scholarship. % of students without scholarship:
Correct Answer: Option A
Explanation:
Scholarship boys = 12% of total, girls = 12%, total 24%, without = 76%.
Scholarship boys = 12% of total, girls = 12%, total 24%, without = 76%.
This question belongs to:
Maths
Percentage
Question #218
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Candidate got 35% of valid votes and lost by 2100. 20% votes invalid. Total voters:
Correct Answer: Option A
Explanation:
Valid votes V, winner 65%V, loser 35%V, margin 30%V=2100 → V=7000. Total T, 0.8T=7000 → T=8750.
Valid votes V, winner 65%V, loser 35%V, margin 30%V=2100 → V=7000. Total T, 0.8T=7000 → T=8750.
This question belongs to:
Maths
Percentage
Question #219
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If 20% of a number added to 40 gives the number. The number is:
Correct Answer: Option A
Explanation:
0.2x + 40 = x → 0.8x = 40 → x = 50.
0.2x + 40 = x → 0.8x = 40 → x = 50.
This question belongs to:
Maths
Percentage
Question #220
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In 80 L mixture, milk:water = 5:3. Water added to make ratio 1:2:
Correct Answer: Option C
Explanation:
Milk=50 L, water=30 L. For milk:water = 1:2, water needed=100 L, add 70 L.
Milk=50 L, water=30 L. For milk:water = 1:2, water needed=100 L, add 70 L.
This question belongs to:
Maths
Percentage
