Advertisement

### Question

Mr. X borrowed Rs. 1100 from Mr. Y on simple interest @6% for 6 years. He then adds an amount x to it and lends it to Mr. Z @9% for the same duration. What is x if he gains Rs. 414?

**A**

Rs. 400.

**B**

Rs. 500.

**C**

Rs. 300.

**D**

Rs. 600.

**Soln.**

**Ans: a**

His gain is ${(1100 + x) × 9 × 6}/100$ - ${1100 × 6 × 6}/100$ = 414. We can solve this for x to get x = Rs. 400.