Question

Mohan lent some amount of money at $9\%$ simple interest and an equal amount of money at $10\%$ simple interest each for $2$ years. If his total interest was Rs. $760$, what amount was lent in each case?

• A. Rs. $1700$
• B. Rs. $1800$
• C. Rs. $1900$
• D. Rs. $2000$

Answer 1

The correct option is D Rs. $2000$

Let the amount lent in each case be Rs. $x$

$\Rightarrow \frac{x\times 9\times 2}{100}+\frac{x\times 10\times 2}{100}=760$

$\Rightarrow \frac{18x}{100}+\frac{20x}{100}=760$
$\Rightarrow 38x=76000$

$\Rightarrow x=2000$