If the compound interest on a sum for 2 years at 12.5% per annum is TK. 510 the simple interest on the same at the same rate for the same period of time is :

If the compound interest on a sum for 2 years at 12.5% per annum is TK. 510 the simple interest on the same at the same rate for the same period of time is : Correct Answer TK. 480

Ler, capital is P tk In compound interest c = p( 1 + r)n So, interest = p (1 + r) n - p According to question, p + (1 + r)n - p = 510 p( 1 + 12.5/100) 2 - p = 510 p ( 1.125)2 - p = 510 p { (1.125)2 - 1} = 510 p = 510/0.2656 = 1920.18 tk Again, Simple interest, I = pnr = 1920.18 ×2×0.125 = 480 tk
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