Question

rupees 5400 is borrowed at 4.5 % rate of interest per annum for 3 year find the amount to be paid at the end of the third year​

Answer 1

$\large \bold{Given,} \\ \\ \sf \: { \underline{Principal \: = \:₹ \: 5400 \: \: | \:Rate \: of \: intrest \: = \: 4.5 \: \% \: \: | \: \: T ime \: = \: 3 \: years.}}$

$\sf \: Amount \: received \: o n \: a \: certain \: sum \: of \: money \: of \: Rs \: P \: \\ \sf \: invested \: at \: the \: rate \: of \: r \: \% \: per \: annum \: compounded \: \\ \sf \: annually \: fo r \: n \: years \: is \: given \: by \: ― \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \color{red} \sf \: \boxed{Amount \: = \: P \: \left[ \: 1 \: + \: \frac{r}{100} \right]^n}$

$\bold{Substituting \: the \: values, \: we \: get,}$

$\sf{Amount \: = \: 5400 \: \left[ \: 1 \: + \: \frac{4 \cancel{.}5}{1 000} \right]^3}$

$\sf{{Amount \: = \: 540 0 \: \left[ \frac{1 \times 1000 \: + \: 45}{1000} \right]^3}}$

$\sf{{Amount \: = \: 540 0 \: \left[ \frac{1045}{1000} \right]^3}}$

$\sf \: Amount\:=\:₹ \: 6156 \: \: \: \color{orange}(approx)$

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

$\color{pink} \large \bold{More\:Formulas \: ―}$

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