The present ages of A and B are in the ratio 6:7. After 8 years, the ratio of their ages will be 8:9. Find the sum of their present ages. MCQ with Answer and Explanation

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The present ages of A and B are in the ratio 6:7. After 8 years, the ratio of their ages will be 8:9. Find the sum of their present ages.

A. 56 years

B. 52 years

C. 60 years

D. 48 years

Answer: Option B

Solution (By JKSSB Mock Tests)

Ages 6x,7x. (6x+8)/(7x+8)=8/9 → 54x+72=56x+64 → 2x=8 → x=4. Sum=6x+7x=13x=52.

This question belongs to: Maths Percentage

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If 12% of x is 60, then x = ?

A. 450

B. 400

C. 500

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Correct Answer: Option C

Explanation:
0.12x = 60 → x = 60/0.12 = 500.

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Question #2

Increase 500 by 10%. Result is:

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C. 505

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Correct Answer: Option B

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500 × 1.1 = 550.

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Question #3

Radius of a circle increased by 50%. Percentage increase in area:

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Correct Answer: Option C

Explanation:
Area proportional to radius². New radius 1.5r, area 2.25 times, increase = 125%.

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