Question

A sum of Rs. $2,500$ deposited in a bank gives an interest of $100$ in $6$ months. What will be the interest on $3,200$ for $9$ months at the same rate of interest?

Answer 1

$Principal\left(P\right)=Rs2500$

$Time\left(T\right)=6months=\frac{6}{12}years$

$=\frac{1}{2}years$

$I=Interest=Rs100$

$LetRatebeR$

$ThereforeI=\frac{P\times T\times R}{100}$

$100=\frac{(2500\times \frac{1}{2}\times R)}{100}$

$100\times 100\times \frac{2}{2500}=R$

$R=8\%$

$Nownewprincipal=Rs3200$

$Time=9months$

$=\frac{9}{12}years$

$=\frac{3}{4}years$

$Rate\left(R\right)=8\%$

$\therefore I=\frac{P\times T\times R}{100}$

$=3200\times \frac{3}{4}\times \frac{8}{100}$

$=192$