Question

What will be the ratio of simple interest earned by
certain amount at the same rate of interest for 6
years and that for 9 years ?​

Answer 1

Let the principal and rate for both interests be p and r respectively.

Simple interest for 6 years is s1 and for 9 years it is s2

$s1 = \frac{pr \times 6}{100}$

$s2 = \frac{pr \times 9}{100}$

$\frac{s1}{s2} = \frac{6pr}{100} \div \frac{9pr}{100}$

$= \frac{6pr}{100} \times \frac{100}{9pr}$

$= \frac{2}{3}$

= 2:3