Question

At the rate per cent per annum will rupees 62,500 amount to rupees 72,900 in 2 years compounded annullay?​

Answer 1

Step-by-step explanation:

Principal=Rs 62,500

Amount=Rs 72,900

Time= 2 years

Rate of Interest=x

Now,

$amount = p(1 + \frac{r}{100} ) {}^{2}$

$72900 = 62500(1 + \frac{x}{100}) {}^{2}$

$\frac{72900}{62500} = (1 + \frac{x}{100} ) {}^{2}$

$\frac{729}{625} = (1 + \frac{x}{100}) {}^{2}$

$\sqrt{ \frac{729}{625} } = 1 + \frac{x}{100}$

$\frac{27}{25} = 1 + \frac{x}{100}$

$\frac{27}{25} - 1 = \frac{x}{100}$

$\frac{2}{25} = \frac{x}{100}$

x=8%