Question

Simple Interest on sum is 25% of the principal and the number of years is equal to rate percent per annum.Find the rate of interest.

Answer 1

$\huge\underline\mathfrak{Answer:}$

5%

$\huge\underline\mathfrak{Solution:}$

As given, simple interest(SI) is 25% of principal(P) and number of year(T) is equal to the rate(R) of percent.

Therefore;

SI = 25 % of P

T = R

As we know SI = P× R× T/100

So we have,

25% of P = P× R× R/100

=25/100×P

=PR²/100

R² =25

R=5

So we have

Hence, Rate is 5 %

Answer 2

The rate of interest is 5 %

Step-by-step explanation:

Given : Simple interest on sum is 25 % of principal and the number of years is equal to rate percent per annum

To find: Rate of interest

Let Principal = P

Simple interest = S.I.

Rate if interest = R

Time in years= T

As given

S.I. = 25 % of P

T= R

Now as we know

$S.I. = \dfrac{P\times R\times T}{100} \\\\\Rightarrow 25\% \text { of} P = \dfrac{P\times R\times R}{100} \\\\\Rightarrow \dfrac{25P}{100} =\dfrac{P\times R^2}{100}\\\\\Rightarrow 25= R^2\\\\\Rightarrow R = 5$

Hence the rate of interest is 5 %

#Learn more

Find the rate of simple interest, if the sum of money triple itself in 14 years.

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