Percentage MCQs with Answers and Explanations for Competitive Exams

Question #261

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Mixture 40 L milk-water with 10% water. Water added to make 20%:

A. 4 L

B. 6 L

C. 8 L

D. 5 L

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Correct Answer: Option D

Explanation:
Water=4 L, milk=36 L. New total = 36/0.8 = 45 L, water added = 5 L.

This question belongs to: Maths Percentage

Question #262

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Population 12000, first year +5%, second year -5%. Population after 2 years:

A. 12000

B. 11970

C. 11940

D. 12030

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Correct Answer: Option B

Explanation:
12000×1.05×0.95 = 11970.

This question belongs to: Maths Percentage

Question #263

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Price reduced 25%, enables buying 3 kg more for Rs. 90. Reduced price/kg:

A. Rs. 6

B. Rs. 7

C. Rs. 7.5

D. Rs. 8

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Correct Answer: Option C

Explanation:
Original price x, xy=90. New 0.75x(y+3)=90 → 0.75×90 + 2.25x=90 → x=10, reduced 7.5.

This question belongs to: Maths Percentage

Question #264

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Sold watch at 5% loss. If sold for Rs. 27 more, gain 7%. Cost price:

A. 210

B. 200

C. 240

D. 225

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Correct Answer: Option D

Explanation:
CP=x, SP=0.95x. 0.95x+27=1.07x → 0.12x=27 → x=225.

This question belongs to: Maths Percentage

Question #265

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Employees reduced in ratio 9:8, wages increased in ratio 14:15. Wage bill ratio:

A. 14:15

B. 15:14

C. 21:20

D. 20:21

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Correct Answer: Option C

Explanation:
Initial bill = E×W, final = (8/9 E)×(15/14 W) = 20/21 of initial, ratio 21:20.

This question belongs to: Maths Percentage

Question #266

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40% read newspaper A, 50% read B, 10% both. % read neither:

A. 20%

B. 25%

C. 15%

D. 10%

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Correct Answer: Option A

Explanation:
At least one = 40+50-10=80%, neither = 20%.

This question belongs to: Maths Percentage

Question #267

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A's income 20% less than B, B's 25% less than C. C's income is what % more than A's?

A. 70%

B. 66.67%

C. 62.5%

D. 60%

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Correct Answer: Option B

Explanation:
A=0.8B, B=0.75C → A=0.6C → C = A/0.6, more 66.67%.

This question belongs to: Maths Percentage

Question #268

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Number increased by 20%. By what % should new number be decreased to get original?

A. 16.67%

B. 18%

C. 20%

D. 15%

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Correct Answer: Option A

Explanation:
Original 100, new 120. Decrease % = (20/120)×100 = 16.67%.

This question belongs to: Maths Percentage

Question #269

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80 L mixture, 20% water. Water added to make 50%:

A. 44 L

B. 52 L

C. 48 L

D. 40 L

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Correct Answer: Option C

Explanation:
Milk=64 L, water=16 L. For milk 50%, total = 128 L, add 48 L water.

This question belongs to: Maths Percentage

Question #270

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Coal price up 25%, expenditure to rise only 10%. Reduce consumption by:

A. 18%

B. 15%

C. 10%

D. 12%

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Correct Answer: Option D

Explanation:
1.25 × x = 1.1 → x = 0.88, reduction 12%.

This question belongs to: Maths Percentage

Question #271

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A's marks 25% more than B, B's 20% less than C. A=150, find C:

A. 120

B. 150

C. 140

D. 130

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Correct Answer: Option B

Explanation:
A=1.25B, B=0.8C → A=1.25×0.8C = C, so C=150.

This question belongs to: Maths Percentage

Question #272

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Original salary 20000, increased 10% then decreased 10%. Final salary:

A. 19600

B. 20000

C. 20200

D. 19800

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Correct Answer: Option D

Explanation:
20000×1.1×0.9 = 19800.

This question belongs to: Maths Percentage

Question #273

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Difference between 45% and 18% of a number is 1458. Number:

A. 5600

B. 5400

C. 5000

D. 5200

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Correct Answer: Option B

Explanation:
27% of x = 1458 → x = 1458/0.27 = 5400.

This question belongs to: Maths Percentage

Question #274

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Allows 10% discount, still gains 8% profit. Markup % on CP:

A. 20%

B. 22%

C. 18%

D. 16%

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Correct Answer: Option A

Explanation:
CP=100, SP=108, MP=108/0.9=120, markup 20%.

This question belongs to: Maths Percentage

Question #275

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Length +25%, breadth -20%. Change in area:

A. 5% increase

B. 10% increase

C. 0%

D. 5% decrease

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Correct Answer: Option C

Explanation:
1.25×0.8 = 1, 0% change.

This question belongs to: Maths Percentage

Question #276

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Rice price reduced 20%, buys 10 kg more for Rs. 200. Reduced price/kg:

A. Rs. 5

B. Rs. 3.5

C. Rs. 4.5

D. Rs. 4

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Correct Answer: Option D

Explanation:
Original price x, xy=200. 0.8x(y+10)=200 → 160+8x=200 → x=5, reduced 4.

This question belongs to: Maths Percentage

Question #277

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A gets 25% more than B, B gets 20% more than C. C=500, A's share:

A. 775

B. 725

C. 700

D. 750

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Correct Answer: Option D

Explanation:
C=500, B=600, A=600×1.25=750.

This question belongs to: Maths Percentage

Question #278

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Price increased 15% then decreased 10%. Net change:

A. 3.5% increase

B. 5.5% increase

C. 4.5% increase

D. 5% increase

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Correct Answer: Option A

Explanation:
1.15×0.9 = 1.035, increase 3.5%.

This question belongs to: Maths Percentage

Question #279

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Candidate A got 60% valid votes, defeated B by 3000 votes. 25% invalid. Total votes:

A. 22500

B. 20000

C. 15000

D. 17500

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Correct Answer: Option B

Explanation:
Valid V, margin 0.2V=3000 → V=15000. Total T, 0.75T=15000 → T=20000.

This question belongs to: Maths Percentage

Question #280

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Two numbers are 20% and 30% more than a third. Ratio of the two numbers:

A. 12:13

B. 11:12

C. 13:14

D. 10:11

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Correct Answer: Option A

Explanation:
Third=100, first=120, second=130, ratio 120:130 = 12:13.

This question belongs to: Maths Percentage

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