# Aptitude | Compound Interest | Question 4

Ram has a sum of Rs.8000. He lends it for 20% per annum at compound interest. In how much time the sum of the amount will be Rs.13824?**(A)** 2**(B)** 1**(C)** 3**(D)** 4**Answer:** **(C)****Explanation:** 3824 = 8000 x (1 + 20/100)^{n}

13824/8000 = (120/100)^{n}

(24/20)^{3} = (12/10)^{n}

(12/10)^{3} = (12/10)^{n}

=> n = 3 years

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