Advertisement

### Question

The compound amount after 3 years on a principal of Rs. x is same as that on a principal of Rs. (1030 - x) after 4 years, then what is x if the rate of interest is 6% p.a. compounded yearly?

**A**

Rs. 530.

**B**

Rs. 630.

**C**

Rs. 430.

**D**

Rs. 730.

**Soln.**

**Ans: a**

We have x × $(1 + 6/100)^3$ = (1030 - x) × $(1 + 6/100)^4$. Cancelling, we get x = (1030 - x) × (1 + 6/100). Simplifying, x = ${1030 × (100 + 6)}/(200 + 6)$, which gives x = Rs. 530.