Question

simple interest on a certain sum 16/25 of the sum find the rate per cent and the time if both are numerically equal. ​

Answer 1

Answer:

Let the sum/principal be x.

Given that Simple interest on a certain sum is 16/25 of the sum.

SI = 16/25 * x

   = 16x/25.

Now,

Given that Rate and Time are numerically Equal.

Let the rate of interest and Time be R years.

We know that SI = PTR/100

                       16x/25 = x * R * R/100

                       16x/25 = xR^2/100

                       16/25 = R^2/100

                      1600 = 25R^2

                      1600/25 = R^2

                      64 = R^2

                      R = 8.

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

Hope this helps!