Question

A sum of Rs 2000 is divided into two parts such that one part is invested at 10% p.a and the second part at 15% p.a. After 2 years if Rs 460 is received as interest then the ratio of investments of the first to the second part is?

• A. 7:3
• B. 3:7
• C. 14:3
• D. 3:14
• E. none

Answer 1

The correct option is A

7:3

Let x be the first part and 2000-x be the second part.

So $2(0.1x+0.15(2000-x\left)\right)=460$
$x=1400$
So the second part is 600
Therefore, the required ratio is 7 : 3.