Question

$A$ lends $Rs.2500$ to $B$ and a certain sum to $C$ at the same time at $7\%$ per annum simple interest. If, after $4$ years, $A$ altogether receives $Rs.1120$ as interest from $B$ and $C$, then the sum lent to $C$ is :

• A. $Rs.700$
• B. $Rs.1500$
• C. $Rs.4000$
• D. $Rs.6500$

Answer 1

The correct option is B $Rs.1500$

$AmountgiventoB=2500$

$R=7\%$

$T=4years$

$letamountgiventoC=x$

$total\mathrm{int}erest=1120$

$\frac{2500\times 4\times 7}{100}+\frac{x\times 4\times 7}{100}=1120$

$700+\frac{x\times 4\times 7}{100}=1120$

$x\times 4\times 7=(1120-700)\times 100=420\times 100$

$x=\frac{420}{4\times 7}\times 100$

$=Rs.1500$