Question

A certain sum amounts to Rs. 4500 in $2\frac{1}{2}$ years at 20% per annum simple interest. Find the sum (in Rs.)

Answer 1

$A=Rs.4500,T=2\frac{1}{2}yrs=\frac{5}{2}$ yrs

$R=20\%$

$S.I.=\frac{P\times R\times T}{100}=\frac{P\times 20\times \frac{5}{2}}{100}$

$S.I.=Rs.\frac{5P}{10}=Rs.\frac{P}{2}$

$A=S.I.+P$

$4500=\frac{P}{2}+P$

$4500=\frac{P+2P}{2}$

$3P=9000$

$P=3000$

$\therefore$ Principal = $Rs.3000$