Question

If $\frac{2}{5}$ can be expressed as a percentage of $2\frac{6}{7}$, then that percentage is

• A. $14\%$
• B. $15\%$
• C. $7\%$
• D. $21\%$

Answer 1

The correct option is A $14\%$

Lets assume,

$\frac{2}{5}$ is $x\%$ of $2\frac{6}{7}$

Then,

$2\frac{6}{7}\times \frac{x}{100}=\frac{2}{5}$

$\Rightarrow x=\frac{\frac{2}{5}}{2\frac{6}{7}}\times 100$

$\Rightarrow x=\frac{2/5}{20/7}\times 100=\frac{2}{5}\times \frac{7}{20}\times 100$

$\Rightarrow x=14$

$\therefore$ The percentage is $14\%$

Hence, option A.