Simple interest on a certain sum is 16/25 of the sum. The rate per cent if the rate per cent and time (in years) are equal, is interest?

Simple interest on a certain sum is 16/25 of the sum. The rate per cent if the rate per cent and time (in years) are equal, is interest?

Explanation

Let sum = X. Then S.I = 16x/25

Let rate = R% and Time = R years.

Therefore,  (x * R * R)/100 = 16x/25   =>  R = 40/5 = 8

Therefore, Rate = 8% and Time = 8 years.