Question
The sum for 2 years given a compound interest of Rs. 3225 at 15% rate. Then the sum is = ?
Answer: Option A
Interest for 2 years at the rate of 15%
$$\eqalign{
& {\text{ = 15 + 15 + }}\frac{{15 \times 15}}{{100}} \cr
& = 32.25\% \cr
& {\text{According to question,}} \cr
& {\text{32}}{\text{.25}}\% {\text{ = 3225}} \cr
& {\text{100}}\% {\text{ = }}\frac{{3225}}{{32.25}} \times 100 \cr
& = 100 \times 100 = 10000 \cr} $$
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Interest for 2 years at the rate of 15%
$$\eqalign{
& {\text{ = 15 + 15 + }}\frac{{15 \times 15}}{{100}} \cr
& = 32.25\% \cr
& {\text{According to question,}} \cr
& {\text{32}}{\text{.25}}\% {\text{ = 3225}} \cr
& {\text{100}}\% {\text{ = }}\frac{{3225}}{{32.25}} \times 100 \cr
& = 100 \times 100 = 10000 \cr} $$
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