Given : P = Rs. 8,000, R = 5%, T = 2 years
For simple interest,
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.
Thus, the difference between the compound interest and the simple interest is Rs. 20.
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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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