Question

Find the value of $\frac{m}{k}$, if $75$ percent of $m$ is equal to $k$ percent of $25$ $(k>0)$

• A. $\frac{3}{16}$
• B. $\frac{1}{3}$
• C. $\frac{3}{4}$
• D. $3$
• E. $\frac{16}{3}$

Answer 1

The correct option is B $\frac{1}{3}$

According to the question, we have

$75\%$ of $m=k\%$ of $25$

$\Rightarrow \frac{75}{100}\times m=\frac{k}{100}\times 25$

$\Rightarrow \frac{3m}{4}=\frac{k}{4}$

$\Rightarrow \frac{m}{k}=\frac{\frac{1}{4}}{\frac{3}{4}}$

$\Rightarrow \frac{m}{k}=\frac{1}{3}$