At a certain rate of simple interest a certain sum of money becomes double of itself in 10 years It ...........

Quant (SSC) Simple Interest

At a certain rate of simple interest, a certain sum of money becomes double of itself in 10 years. It will become treble of itself in

15 years

18 years

20 years

30 years

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Explanation:

If principal be x, Amount = 2x,
SI = (Amount – Principal) = (2x – x) = x
Rate = SI × 100 /Principal × Time
= x × 100 /x × 10 = 10%
Now, Principal = x, Amount = 3x
SI = (Amount – Principal) = (3x – x) = 2x, then
Time = SI × 100 /Principal × Rate
= 2x × 100 /x × 10 = 20 yrs