# A certain sum of money amounts to Rs.1300 in 2 years and to Rs. 1525 in 3.5 years. Find the sum and the rate of interest ?

A certain sum of money amounts to Rs.1300 in 2 years and to Rs. 1525 in 3.5 years. Find the sum and the rate of interest ?

A. Rs 850 , 10%

B. Rs 900, 12%

C. Rs 800, 13%

D. Rs 1000,15%

**Answer : **D. Rs 1000, 15%...

## Explanation :

1525 - 1300 = 225 for 1.5 yrs (3.5 - 2)

So for one yr 225 / 1.5 = 150

then for 2 yrs interest is 150 + 150 = 300

Then principal 1300 - 300 = 1000.

Now 150 / 1000 * 100 = 15%