Question

If $35\%$ of a number added to $39$ is the number itself, find the number?

Answer 1

Let the number be $x$.
$35\%$ of $x=\frac{35}{100}\times x=\frac{7x}{20}$

According to the question,

$\Rightarrow \frac{7x}{20}+39=x$

$\Rightarrow x-\frac{7x}{20}=39$

$\Rightarrow \frac{20x-7x}{20}=39$

$\Rightarrow \frac{13x}{20}=39$

$\Rightarrow x=\frac{20}{13}\times 39$

$\therefore x=60$