The compound interest on a certain sum of money invested for 2 years at 5% per a

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The compound interest on a certain sum of money invested for 2 years at 5% per annum is Rs.328. The simple interest on the sum, at the same rate and for the same period will be

Options:

A . Rs.287

B . Rs.320

C . Rs.300

D . Rs.308

Answer: Option B
Answer: (b)Let the principal be P.C.I. = P$[(1 + R/100)^T - 1]$328 = P$[(1 + 5/100)^2 - 1]$328 = P$[441/400 -1]$328 = P$[{441 - 400}/400]$P = ${328 × 400}/41$ = Rs.3200S.I. = ${PRT}/100 = {3200 × 5 × 2}/100$ = Rs.320Using Rule 10,Here, C.I. = Rs.328, R = 5%, S.I. = ?C.I.= S.I.$(1 + R/200)$328 = S.I.$(1 + 5/200)$328 = S.I.$(1 + 1/40)$S.I. = ${328 × 40}/41$S.I. = 8 x 40 = Rs.320

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