If the length of a rectangle is increased by 25%, by what percentage must the width be decreased to keep the area unchanged? MCQ with Answer and Explanation

Question

If the length of a rectangle is increased by 25%, by what percentage must the width be decreased to keep the area unchanged?

A. 20%

B. 25%

C. 33.33%

D. 15%

Answer: Option A

Solution (By JKSSB Mock Tests)

Required decrease = (25 / 125) * 100 = 20%.

This question belongs to: Maths Percentage

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Question #1

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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

D. Rs. 4.5

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Correct Answer: Option C

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 #2

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A number is first increased by 20% and then decreased by 20%. What is the net percentage change in the number?

A. 4% decrease

B. No change

C. 4% increase

D. 10% decrease

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Correct Answer: Option A

Explanation:
Let the number be 100. After 20% increase, it becomes 120. After 20% decrease, it becomes 120 * 0.8 = 96. Net change = 100 - 96 = 4% decrease.

This question belongs to: Maths Percentage

Question #3

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A man spends 75% of his income. Income increases by 20%, expenditure by 10%. % change in savings:

A. 50%

B. 40%

C. 30%

D. 60%

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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%.

This question belongs to: Maths Percentage

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