Question

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

• A. 300
• B. 150
• C. 450
• D. 100

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.