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

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