A sum of money becomes 3 times in 5 year in how many year will be the same sum become 6 times at the...........

Quant (SSC) Simple Interest

A sum of money becomes 3 times in 5 year. in how many year will be the same sum become 6 times at the same rate of simple interest?

15 yrs

12.5 yrs

10 yrs

7.5 yrs

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Explanation:

Required time (t₂) = [(y - 1 /x - 1) x t₁] yrs
Where:
x  is the no. of times the sum becomes of itself in the 1st scenario = 3
y  is the no. of times the sum becomes of itself in the 2nd scenario = 6
t₁  is the time taken in the 1st scenario = 5 yr
t₂ is the time taken in the 2nd scenario = ?
By the short trick approach, we get
Required time (t₂) = [(6 - 1/3 - 1) x 5] = 25/2 = 12.5 yrs