# At What Percent Annual Compound Interest Rate :

At what percent annual compound interest rate, a certain sum amounts to its 27 times in 3 year?

- 100%
- 150%
- 75%
- 200%

**Answer; (4) 200 %**

**Explanation:-**

Let the principal be = Rs.P

Time = 3 years

Amount = 27 P

Then,

27 P = P(1 + R/100)^{3}

(3)^{3} = (1 + R/100)^{3}

Cube root of both sides,

3 = 1 + R/100

R/100 = 3 – 1

R = 2 x 100

R = 200 %

Hence, the answer is (4) 200 %.