A total of Rs $7700$ is lent in two parts so that SI on one part at $20\%$ for $5$ years equals SI on the other part at $9\%$ for $6$ years. One part is:

Question

A total of Rs $7700$ is lent in two parts so that SI on one part at $20\%$ for $5$ years equals SI on the other part at $9\%$ for $6$ years. One part is:

Option A

Rs 2200

Option B

Rs 2500

Option C — Correct answer

Rs 2700

Correct choice.

Option D

Rs 3000

Explanation

Let one part be $x$ and the other $7700-x$. Then $\frac{x\times20\times5}{100}=\frac{(7700-x)\times9\times6}{100}$. Solving gives $50x=27(7700-x)$, so $x=2700$ and the other part is Rs $5000$.

Chapter Mock 5: Simple Interest and Compound Interest