Question

A sum of $Rs.5000$ was lent partly at $6\%$ and partly at $9\%$ simple interest. If the total interest received after $1$ year was $Rs.390$, what was the ratio in which the money was lent at $6\%$ and $9\%$?

• A. $1:5$.
• B. $2:5$.
• C. $2:3$.
• D. $1:3$.

Answer 1

The correct option is C $2:3$.

Let the sum lent at $6\%p.a.$ be $Rs.x$. Then,
Sum lent at $9\%p.a.$ is $Rs.(5000-x)$

Then according to the question
$\frac{x\times 6\times 1}{100}+\frac{(5000-x)\times 9\times 1}{100}=390$

$\Rightarrow \frac{6x}{100}+450-\frac{9x}{100}=390$

$\Rightarrow \frac{3x}{100}=60$

$\Rightarrow 3x=6000$

$\Rightarrow x=2000$

Hence sum lent at 6%=Rs. 2000

And sum lent at 9%$=5000-2000=Rs.3000$
$\therefore$ Required ratio $=2000:3000=2:3$.