Question

if the simple interest on a sum of money for 2 years at 5% per annum is 50 rupees what will be the compound interest on the same sum at the same rate for the same time (hint:first find p by using i= p×t×r/100 =50=p×2×5/100)​

Answer 1

$\huge\bold\red{{Answer:-}}$

let the sum$⇒$ Rs P

SI $⇒ Rs 50$

Rate of interest$⇒$5%per annum

Time$⇒ 2 Yrs$

SI $⇒\frac{P×R×T}{100}$

50$⇒\frac{P×5×2}{100}$

P$⇒\frac{50×100}{5×2}$

$⇒Rs\:500$

CI of 500Rs

Amount $=500(1+\frac{5}{100})^2$

$⇒500×\frac{105}{100}×\frac{105}{100}$

$⇒500×\frac{21}{20}×\frac{21}{20}$

$⇒551.25$

Cl$⇒551.25-500$

$⇒Rs51.25$