If simple interest on a certain sum of money is Rs. 256 and the rate of interest per annum equals the number of years, then the rate of int…

16%

NA

Solution:

Formula: Simple Interest, S.I = Pnr/100 where,

P = Principal, n =time in years, r = rate of interest in percentage

Given: S.I = Rs.256

Rate of interest = Time

Let us take principal to be Rs.100 and the rate of interest as x%.

Therefore, time, n = x years

Now by the formula we have,

256 = (100 × x × x)/100

x² = 256

x = 16

So, the rate of interest is 16%

The correct option is D).16%

Here, I = Rs. 256






Let the principal be Rs. 100






Let the rate of interest per annum be X%






The, time(T) = X years






Therefore, using the formula










R



=



100 x I














P x T



















We have, x =



100 x 256















X2 = 256 or X = 16%






100 x X



















Rate of interest per annum is 16%