Question

If $75$ percent of $m$ is equal to $k$ percent of $25$, where $k>0$, what is the value of $\frac{m}{k}$?

• 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 $\frac{1}{3}$

Given that $75$ percent of $m$ is equal to $k$ percent of $25$

Formally, we can write the above equation as

$75$$\%$$\left(m\right)$ $=$ $k\%$$\left(25\right)$

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

On rearranging the terms

$\Rightarrow \frac{m}{k}$ $=$ $\frac{25}{75}$ $(k$ $>$ $0)$

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

Therefore, the value of ${}^{\prime }$$\frac{m}{k}$${}^{\prime }$ is $\frac{1}{3}$.