Question

if Rs.7500 amounts to Rs.8112 in 2years compound annually find the rate of interest per annum

Answer 1

Step-by-step explanation:

$\star$$\textbf{To find r :}$

$\implies$$A=P{\Large(}1+{\Large\frac{r}{100})}^{n}$

$\implies$$8112=7500{\Large(}1+{\Large\frac{r}{100})}^{2}$

$\implies$${\Large\frac{8112}{7500}}=({\Large\frac{100+r}{100}})^{2}$

$\implies$${\Large\frac{676}{625}}=({\Large\frac{100+r}{100}})^{2}$

$\implies$$\sqrt{\Large\frac{676}{625}}={\Large\frac{100+r}{100}}$

$\implies$${\Large\frac{26×100}{25}}=100+r$

$\implies$$104=100+r$

$\implies$$\boxed{r=4\%}$

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