Question

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

• A. 300

Answer 1

The correct option is A 300
Let the number be '$x$'.

$75\%ofx+75=x\Rightarrow \frac{75}{100}x+75=x\Rightarrow x-\frac{75x}{100}=75\Rightarrow \frac{100x-75x}{100}=75\Rightarrow \frac{25x}{100}=75\Rightarrow x=\frac{75\times 100}{25}\Rightarrow x=300$

Hence, the number is 300.