Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is 1,600, find the marked price. Solve it through Equation method.

Given:

Discount % $=20 \%$
Selling price$=Rs.\ 1600$ 

To do:

We have to find the marked price.

Solution:

Let the marked price of the skates be $x$.

We know that,

Discount$=$Marked price$-$Selling price

$=x-1600$

Discount %$=\frac{Discount}{Marked\ price}\times100$

$=\frac{x-1600}{x}\times100$

$\Rightarrow 20=\frac{x-1600}{x}\times100$

$20\times x=100x-160000$

$160000=100x-20x$

$160000=80x$

$x=\frac{160000}{80}$

$x=2000$

Therefore, marked price of the pair of skates is Rs. 2000.