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If the Simple Interest on a sum of money at 5% for 3 years is Rs.1200, what will be the Compound Interest for the same period and rate for the same sum?
$$ SI = \frac{PNR}{100} $$
$$ 1200 = \frac{P \times 3 \times 5}{100} $$
solving P = 8000
CI :
$$ Amt = P( 1 + \frac{r}{100} )^n $$
= $$ 8000( 1 + \frac{5}{100} )^3 $$
= 9261
Amount = principal + interest
9261 = 8000 + CI
solving CI = 1261
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