Question

Adding $24$ to a number is equal to adding $20\%$ of that number to it. What is $120\%$ of that number?

• A. $240$
• B. $144$
• C. $115\frac{1}{5}$
• D. $172\frac{4}{5}$

Answer 1

The correct option is B $144$

Let the number be $x$.

Then, $x+24=x+20\%$ of $x$
$\Rightarrow \frac{20}{100}\times x=24\Rightarrow \frac{x}{5}=24$
$\Rightarrow x=5\times 24=120$
$\therefore 120\%$ of $x=120\%$ of $120$
$\therefore x=\frac{120}{100}\times 120=144$