Question

Find the number which when decreased by $8\%$ becomes $506.$

Answer 1

Let the number be x
Decrease $=8\%$ of x
$=\frac{8}{100}x=\frac{2}{25}x$
According to statement,
$x-\frac{2}{25}x=506$
$\frac{25x-2x}{25}=506$
$\frac{23}{25}x=506$
$x=\frac{506\times 25}{23}=\frac{12650}{23}=550$
hence the number is $550$