Question

A number decreased by 23% becomes 539. Find the number.

Answer 1

Let the number be $x$
Decreased means subtraction. If $x$ is decreases by $23\%$, then the result is

$=x-23\%\text{of}x$

$=x-\frac{23}{100}\times x$

$=\frac{100x-23x}{100}$

$=\frac{77x}{100}$

Given that, it is equal to $539$. So,

$\frac{77}{100}\times x=539$

$x=\frac{539\times 100}{77}$
$=>x=700$