A sum of money doubles in 12 years In how many years it will treble at S I ........

Quantitative Aptitude ( CCS) Simple Interest

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A sum of money doubles in 12 years. In how many years, it will treble at S.I.

12 yrs

8 yrs

6 yrs

24 yrs

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Explanation:

Simple Interest, SI = PRT/100
i.e, SI ∝ T when rate(R) and principal (P) are constants
Let x be the sum of money and which will treble in n years
(Please note that when the money doubles, simple interest is 2x - x = x
and when the money trebles, simple interest is 3x - x = 2x)
(2x-x) ∝ 12
= x ∝ 12 -------------(1)
(3x-x) ∝ n
= 2x ∝ n -------------(2)
From (1) and (2),
x /2x = 12 /n

1 /2 = 12 /n ⇒n = 24 years

Hence, option 4 is the correct answer.