Question

When $75\%$ of a number is added to 75, then resultant number is the original number. The number is

• A. 150
• B. 300
• C. 100
• D. 45

Answer 1

The correct option is B

300

Let the original number = x
Now, it is given that
$75\%$ of x + 75 = x
$\Rightarrow \frac{75}{100}x+75=x$
$\Rightarrow \frac{75}{100}x-x=-75$
$\Rightarrow \frac{-25x}{100}=-75$
$\Rightarrow \frac{25x}{100}=75$
$\Rightarrow x=\frac{100\times 75}{25}=300$
$\therefore$ Original number = 300