Ratio of present ages of A and B is 4:6. After 10 years, the ratio becomes 7:8. Present age of A is? MCQ with Answer and Explanation

Ratio of present ages of A and B is 4:6. After 10 years, the ratio becomes 7:8. Present age of A is?
A. 64 years
B. 26 years
C. 37 years
D. 32 years
Answer: Option D
Solution (By JKSSB Mock Tests)
Let ages 4k and 6k. Then (4k + 10)/(6k + 10) = 7/8. Solving gives k ≈ 8, age of A = 4*8 = 32.

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Practice More Ratio and Proportion Questions

Question #1
Two numbers are in the ratio 5:14 and their sum is 285. Find the numbers.
A. 96 and 184
B. 150 and 420
C. 75 and 210
D. 58 and 219

Correct Answer: Option C


Explanation:
Numbers = 5k and 14k. 5k + 14k = 285 ⇒ k = 15. Thus, numbers are 75 and 210.

This question belongs to: Maths Ratio and Proportion
Question #2
Two numbers are in ratio 9:7. Their difference is 120. What is their sum?
A. 400
B. 200
C. 489
D. 445

Correct Answer: Option A


Explanation:
Numbers 9k, 7k. Difference |9-7|k = 120 ⇒ k = 60. Sum = (9+7)k ≈ 400.

This question belongs to: Maths Ratio and Proportion
Question #3
Milk and water are in ratio 6:6 in a 413 L mixture. Quantity of milk?
A. 245 L
B. 207 L
C. 206 L
D. 412 L

Correct Answer: Option C


Explanation:
Total parts = 12. Milk = [6 / (6+6)] × 413 = 206 L.

This question belongs to: Maths Ratio and Proportion