# In How Many Year will be Treble? If

sum doubles itself in 16 years, then in how many years will it treble itself, rate of interest being simple

- 25 years
- 24 years
- 48 years
- 64 years

**The right answer is 32 years which is not given in any option.**

**Answer: (2) 24 years**

**Explanation:-**

Let be the principal is P and rate is R.

**Formula-**

**Simple Interest = P x R x T/100**

**Where, P – principal, R – rate & T – time.**

According to the question,

P = P x R x 16/100

R = 100/16

R = 25/4 %

If the amount is triple of the principal,

Then, S I = 3 P – P = 2 P

Then,

2 P = P x 25 x T/4 x 100

400 x 2 = T x 25

T = 32 years.

Hence, the answer is 32 years.