Question

If $m>0$ and $x$ is $m$ percent of $y$, then in terms of $m$, $y$ is what percent of $x$ ?

• A. $100$ m
• B. $\frac{1}{100}$ m
• C. $1$ m
• D. $10$ m
• E. $\frac{10000}{m}$

Answer 1

The correct option is E $\frac{10000}{m}$

Given that : x is $m\%$ of y

$\Rightarrow x=\frac{m}{100}\times y$

Now, let's say that y is $k\%$ of x, then

$y=\frac{k}{100}\times x$

But $x=\frac{m}{100}\times y$

$\therefore y=\frac{k}{100}\times \frac{m}{100}\times y$

$k=\frac{10000}{m}$