Question

When $75\%$ of a number is added to $75$ the result is the number itself. What is the number?

• A. $150$
• B. $300$
• C. $100$
• D. $450$

Answer 1

The correct option is B $300$

Let the number be $x$

According to the question :

$\Rightarrow \frac{75}{100}\times x+75=x$

$\Rightarrow 75x+7500=100x$

$\Rightarrow 7500=100x-75x$

$\Rightarrow 7500=25x$

$x=300$

The number is $300$.