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A sum triples itself in 15 years at simple interest. In how many years will it double itself at the same rate?
Question

A sum triples itself in 15 years at simple interest. In how many years will it double itself at the same rate?

A.

5 years

B.

7.5 years

C.

10 years

D.

12 years

Correct option is B

Solution:
If the sum triples, the interest earned = 2 times the principal.
Simple Interest formula pattern: Time ∝ Interest (when rate is same)
If 2P interest takes 15 years, then P interest will take:
Time = 15 × (1 / 2) = 7.5 years
So, the amount will double in 7.5 years.
Correct Answer: (B)

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