Question

If $n$ is positive and $m$ is $n$ percent of $p$, then,in terms of $n$, $p$ is what percent of $m$?

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

Answer 1

Answer: (E)

$\frac{10000}{n}$

Given $m$ is $n$ percent of $p$

$⟹m=(\frac{n}{100}\times p)$

$⟹p=(100\times \frac{m}{n})$

$⟹p=(100\times \frac{m}{n}\times \frac{100}{100})$

$⟹p=\left(\frac{\left(\frac{10000}{n}\right)\times m}{100}\right)$

So, $p$ is $\frac{10000}{n}$ percent of m.