Question

Simple interest on a certain sum is $\frac{9}{25}$ of the sum. Find the rate per cent and time, if both are numerically equal.

• A. 6 %, 6 years
• B. 6 %, 8 years
• C. 8 %, 6 years
• D. 8 %, 8 years

Answer 1

Answer: (A)

6 %, 6 years

Let Sum x then S.I $=\frac{9x}{25}$
Let Rate = R% and time = R year
$\therefore \frac{(x\times R\times R)}{100}=\frac{9x}{25}\Rightarrow R^2=\frac{900}{25}$
$\Rightarrow R=\frac{30}{5}=6$
$\therefore$ Rate = 6% and Year = 6years