A sum was put at simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched Rs. 60 more. Find the sum?

A sum was put at simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched Rs. 60 more. Find the sum?

Explanation

Let the principal amount be P.

Let the original rate of interest be R%.

The interest earned at the original rate for 2 years is (P x R x 2)/100.

If the rate were 4% higher, the interest earned would be (P x (R+4) x 2)/100.

The difference in interest earned is Rs. 60, so we can set up the equation:

(P x (R+4) x 2)/100 - (P x R x 2)/100 = 60

Simplifying the equation:

2P(R+4) - 2PR = 6000

Expanding and simplifying:

8P = 6000

Dividing both sides by 8:

P = 750

So, the sum is Rs. 750.