Question

A sum invested on simple interest grows to Rs 22500 and Rs 25500 in seven and nine years respectively.
What is the rate percentage of the interest?
​

Answer 1

Definitely Answer

is 12.5

Answer 2

Given:

A sum invested on simple interest grows to Rs 22500 and Rs 25500 in seven and nine years respectively.

To Find:

What is the rate percentage of the interest?

​Solution:

here, according to question, a sum invested on simple interest grows to ₹ 22500 and ₹ 25500 in seven and nine years respectively.

Total interest in two years = 25500 - 22500 = ₹ 3000

In one year = 3000/2 = ₹ 1500

Total Interest in 9 years = 9 $\times$ 1500 = 13500

Principal, P = 22500 - 13500 = 12000

By, formula of Simple interest;

$\[S.I = \dfrac{{P \times R \times T}}{{100}}\]$

therefore, on putting values, we get

$\[\begin{gathered} 13500 = \frac{{12000 \times R \times 9}}{{100}} \hfill \\\\ R = 12.5 \hfill \\ \end{gathered} \]$

Hence, rate percentage of the interest is 12.5 percent.