A person invested sum of the amount at the rate of 15% SI per annum for two years and received total amount of Rs.19500. He invested same sum at the rate x% per annum compounded annually for two years and he received interest Rs.2100 more as compared to the Simple Interest, then find the value of 'x'

Using the simple interest amount formula A = P + (P * R * T) / 100, we have 19500 = P + (P * 15 * 2) / 100, which simplifies to 19500 = 1.30P, yielding the principal P = Rs. 15000. The simple interest earned is 19500 - 15000 = Rs. 4500, so the compound interest is 4500 + 2100 = Rs. 6600. Using the compound interest formula CI = P(1 + R/100)^2 - P, we get 6600 = 15000(1 + x/100)^2 - 15000, which simplifies to 21600 = 15000(1 + x/100)^2; solving gives (1 + x/100)^2 = 1.44, so 1 + x/100 = 1.2 and x = 20%.

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