Question

What amount is to be repaid on a loan of Rs 12000 for 2years at 10% per annum compounded half yearly?​

Answer 1

$\large \color{gold} \bold{Given,} \\ \\ \sf { \underline{Principal\:=\:₹\:12000\:\:\:|\:\:\:Time\:=\:2\:years\:\:\:|\:\:\:Rate\:of\: Interest\:=\:10\%}} \\ \\ \color{green}\bold{To\:find\:the \: amount} \\ \\ \color{silver} \bold{Solution} \\ \\ \sf \: Amount\:on\:a\: certain\:sum\:of\:money\:P\:invested \:at\:a\:rate\:of\:\%\:per\:annum\: \\ \sf \: compound\:semi\: annually\:for\:n\:years\:is\: given\:by \: \: \color{magenta}\boxed{ \sf \: Amount\:=\:P\: \left[ \:1\:+\: \frac{r}{200} \right]^{2n}\:} \\ \\ \sf \: Amount\:=\:12000\: \left[ \:1\:+\: \frac{10}{200} \right]^{2n} \\ \\ \sf \: Amount\:=\:12000\: \left[ 1.05 \right]^{2n} \\ \\ \sf \: Amount\:=\:12000 \: \times \: 1.1025 \\ \\ \sf \: \color{skyblue}Amount\:=\:₹\:13230$

$\color{lime}\rule{200000000 pt}{2pt}$

More formulas

$\footnotesize \color{aqua} \boxed{ \begin {array} { |c|c|c|} Statement&Formulas \\ \\ \\❑ \: Amount \: on \: a \: certain \: sum \: of \: money \: of \: P \: invested \: at \: the \: rate \: of \: r \% \: per \: \\ annum \: compounded \: annually \: for \: n \: years \: is \: given \: by &❑ \: Amount\:=\:P[1\:+\: \frac{r}{100}]^n \\ \\ ❑ \: Amount \: on \: a \: certain \: sum \: of \: money \: of \: P \: invested \: at \: the \: rate \: of \: r \% \: per \\ \: annum \: compounded \: quarterly \: for \: n \: years \: is \: given \: by &❑ \:Amount\:=\:P[1\:+\: \frac{r}{200}]^{4n} \\ \\ ❑ \:Amount \: on \: a \: certain \: sum \: of \: money \: of \: P \: invested \: at \: the \: rat e \: of \: r \% \: per \: \\ annum \: compounded \: monthly \: for \: n \: years \: is \: given \: b y&❑\:Amount\:=\:P\:[1\:+\: \frac{r}{1200}]^{12n} \\ \\ ❑ \:Amount\:on\:a\: certain\:sum\:of\:money\:P\:invested \:at\:a\:rate\:of\:\%\:per\:annum\: \\ compound\:semi\: annually\:for\:n\:years\:is\: given\:by &❑ \: Amount\:=\:P\: \left[ \:1\:+\: \frac{r}{200} \right]^{2n}\: \end {array}}$