A sum of money lent on simple interest triples itself in 15 years and 6 months In how many year will...........

Quant (SSC) Simple Interest

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A sum of money lent on simple interest triples itself in 15 years and 6 months. In how many year will it be doubled?

6 yr 3 months

7 yr 9 months

8 yr 3 months

9 yr 6 months

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Explanation:

Required time (t₂) = (x - 1 /y - 1) × t₁
Where x  is the no. of times the sum becomes of itself in the 2nd scenario = 2
y  is the no. of times the sum becomes of itself in the 1st scenario = 3
t  is the time taken in the 1st scenario = 15 yr 6 months = 31/2 yr
t₂ is the time taken in the 1st scenario = ?
By the short trick approach, we get
Required time (t₂) = (2 - 1 /3 - 1) x 31/2 = 31/4 = 7 yr 9 months