# A Certain sum of money amounts to Rs 2500 in a span of 5 years and further to Rs.3000 in a span of 7 years at simple interest. The sum is ?

A Certain sum of money amounts to Rs 2500 in a span of 5 years and further to Rs.3000 in a span of 7 years at simple interest. The sum is_____

A. 1200

B. 1250

C. 1050

D. 1000

**Answer : **B. 1250

## Explanation :

As the rate of interest for both the cases are same

A1, A2 = Total Amounts , P = Principal Amount , T1, T2 = Time Period involved in years

(A1 - P) / T1 = (A2 - P) / T2

(2500 - P) / 5 = (3000 - P) / 7

17500 – 7P = 15000 – 5P

P = 1250