Question

Sajan lent Rs. 7000 to two of his friends: to one at $4\%$ and to other at $6\%$ SI. The total amount received as interest by Sajan after 3 years is Rs. 996. Find the amount lent at $6\%$ .

• A. Rs. 1300
• B. Rs. 2600
• C. Rs. 4400
• D. Rs. 1600
• E. Rs. 1200

Answer 1

The correct option is B Rs. 2600

Principal = Rs. 7000

Interest Received = Rs. 996

So, average rate $=\frac{(996\times 100)}{3\times 7000}=\frac{166}{35}\%$

Now apply alligation:

So, the ratio in which the money was lent at $4\%$ and $6\%$ is 22: 13

So, the amount lent at $6\%$ = Rs. 2600. Hence option (b)

Alternatively: the question can be solved using answer options.