The sum for 2 years given a compound interest of Rs. 3225 at 15% rate. Then the sum is = ?

A. Rs. 10000

B. Rs. 20000

C. Rs. 15000

D. Rs. 32250

Answer: Option A

Solution(By Examveda Team)

Interest for 2 years at the rate of 15%
$$\eqalign{ & {\text{ = 15 + 15 + }}\frac{{15 \times 15}}{{100}} \cr & = 32.25\% \cr & {\text{According to question,}} \cr & {\text{32}}{\text{.25}}\% {\text{ = 3225}} \cr & {\text{100}}\% {\text{ = }}\frac{{3225}}{{32.25}} \times 100 \cr & = 100 \times 100 = 10000 \cr} $$