Question

The simple interest on a sum of money is 25% of the principal and the number of year is equal to the rate percent per annum. Find the rate. ​

Answer 1

Answer: 5%

Step-by-step explanation:

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 =\dfrac{P\times R\times T}{100}SI=

100

P×R×T

So we have

\begin{gathered}25\% \text { of } P = \dfrac{P\times R\times R}{100} \\\\\Rightarrow\dfrac{25}{100} \times P= \dfrac{P\rimes R^2}{100} \\\\\Rightarrow R^2 = 25 \\\\\Rightarrow R=5\end{gathered}

25% of P=

100

P×R×R

⇒

100

25

×P=

100

P\rimesR

2

⇒R

2

=25

⇒R=5

Hence, Rate is 5 %

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