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 The difference between the compound interest and the simple interest on a certain sum at 10 % per annum for 2 years is Rs 52 . Find the sum. [ Calculator, Method and examples ]Solution:Your problem -> The difference between the compound interest and the simple interest on a certain sum at 10 % per annum for 2 years is Rs 52 . Find the sum.Here R = 10 %, N = 2 years and CI - SI = 52 .Let the sum be Rs. X. Then,SI = (P*R*N)/100 = (X * 10 * 2) / 100 = 0.2 XCI = P (1 + R/100)^N - P= X ( 1 + 10 / 100 ) ^ 2 - X= X ( 110 / 100 ) ^ 2 - X= X (( 110 / 100 ) ^ 2 - 1 )= 0.21 X:. CI - SI = 0.21 X - 0.2 X = 0.01 XSo, 0.01 X = 52=> X = 5200 .Hence, Sum = Rs. 5200.

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