Question

The simple interest on a sum of money is $\frac{4}{9}$of the principal and the number of years is equal to the rate of interest. The rate percent is-

• A. $3\frac{1}{4}$
• B. $6\frac{2}{3}$
• C. $6$
• D. $5$

Answer 1

The correct option is B $6\frac{2}{3}$

According to question,

$\frac{4}{9}P=\frac{P\times R\times R}{100}$

$\Rightarrow R^2=\frac{4\times 100}{9}$

$\Rightarrow R=\frac{2\times 10}{3}$

$\Rightarrow R=\frac{20}{3}$

$\Rightarrow R=6\frac{2}{3}\%$