Question

If $75\%$ of a number is added to $75$, then the result is the number itself. The number is :

• A. $100$
• B. $200$
• C. $300$
• D. $400$

Answer 1

The correct option is C

$300$

Find the unknown number

Let the number be $x$.

Then, $75\%$ of $x$ $=\frac{75}{100}\times x=0.75x$

It is given that, $75\%$ of the number is added to $75$, then the result is the number itself.

$\Rightarrow 0.75x+75=x$

$\Rightarrow x-0.75x=75$

$\Rightarrow 0.25x=75$

$\Rightarrow x=\frac{75}{0.25}$

$\Rightarrow x=300$
Hence, option (C) $300$ is the correct answer.