Question

Arun bought a pair of skates at a sale where the discount given was $20$ %. If the amount he pays is $Rs$ $1,600,$ find the marked price.

Answer 1

Let the marked price be $x$.
$Discount\; percent = \frac{Discount}{Marked \;price} × 100$

$20= \frac{Discount}{x} × 100$

$Discount = \frac{20}{100} × x = \frac{1}{5} x$
Also,
$Discount = Marked \;price - Sale \;price$
$\frac{1}{5}x = x- Rs \;1600$

$x-\frac{1}{5}x = Rs\; 1600$

$\frac{4}{5}x = Rs \;1600$

$x$ = $Rs$ $\bigg(1600 × \frac{5}{4}\bigg) = Rs\; 2000$

Thus, the marked price was $Rs\; 2000$.