Given : P = Rs. 8,000, R = 5%, T = 2 years S.I. = `[ "P" xx "R" xx "T"]/100` = `[8,000 xx 5 xx 2]/100` = Rs. 800 For compound interest, `"A" = "P"( 1 + r/100 )^n` `"A" = 8,000( 1 + 5/100 )^2` = `8,000 xx 21/20 xx 21/20` = Rs. 8,820 C.I. = A - P = Rs. (8,820 - 8,000) = Rs. 820 Now, C.I. - S.I. = Rs. ( 820 - 800 ) = Rs. 20.
C.I.A=p[1+r/100]2 = 8000[1+15/100]2 = 8000[100+15/100]2 = 8000[115/100]2 = 8000* 115/100* 115/100 = 10580I = A - P = 10580 - 8000 = 2580S.I.S.I. = P*R*T/100 = 8000 * 15 * 2/100 = 2400 Difference = C.I. - S.I. = 2580 - 2400 = 180
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