The price of petrol increases by 30%. By what percent should a person reduce consumption so that expenditure increases only by 10%? MCQ with Answer and Explanation

Question

The price of petrol increases by 30%. By what percent should a person reduce consumption so that expenditure increases only by 10%?

A. 15.38%

B. 18%

C. 14.5%

D. 16.67%

Answer: Option A

Solution (By JKSSB Mock Tests)

1.3 × x = 1.1 → x = 1.1/1.3 ≈ 0.84615, reduction 15.38%.

This question belongs to: Maths Percentage

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Question #1

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If the radius of a circle is increased by 100%, the area increases by:

A. 500%

B. 400%

C. 200%

D. 300%

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Correct Answer: Option D

Explanation:
Area proportional to radius². New radius 2r, area 4 times, increase = 300% (i.e., 4-1 = 3 times = 300%).

This question belongs to: Maths Percentage

Question #2

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A 60-litre mixture contains milk and water in the ratio 2:1. How many litres of the mixture should be withdrawn and replaced with water to make the ratio 1:2?

A. 30 L

B. 25 L

C. 35 L

D. 20 L

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Correct Answer: Option A

Explanation:
Milk=40 L, water=20 L. Withdraw x L mixture: milk removed = (2/3)x, water removed = (1/3)x. After replacement, milk = 40 - 2x/3, water = 20 - x/3 + x = 20 + 2x/3. Ratio 1:2 → (40 - 2x/3)/(20 + 2x/3) = 1/2 → 2(40 - 2x/3) = 20 + 2x/3 → 80 - 4x/3 = 20 + 2x/3 → 60 = 2x → x = 30.

This question belongs to: Maths Percentage