Question

Ram borrowed sum of rupees 30000 from Shyam for 3 years at the rate interest 6% per annum compounded annually find the interest paid by Ram to Shyam after 3 years

Answer 1

$\bold{given : } \\ \\ amount \: borrowed : \\ \\ 30000 \\ \\ time \: given : \\ \\ 3 \: yrs \: \\ \\ rate \: of \: interest : \: \\ \\ 6\% \\ \\ \\ \\ \bold{amount \: of \: compound \: interest : } \\ \\ \bold{p \: ( {1 + \frac{r}{100}) }^{n} } \\ \\ \\ \\ \bold{amount :} \\ \\ 30000( {1 + \frac{6}{100} )}^{3} \\ \\ 30000( { \frac{106}{100}) }^{3} \\ \\ 30000( { \frac{53}{50} )}^{3} \\ \\ 30000 \times \frac{53}{50} \times \frac{53}{50} \times \frac{53}{50} \\ \\ \frac{30 \times 53 \times 53 \times 53}{75} \\ \\\bold{ 35730.48 \: rs }\\ \\ \\ \\ \bold{coumpound \: interest :} \\ \\ amount \: - principle \: \\ \\ 35730.48 - 30000 \\ \\ \bold{5730.48 \: rs }\:$