Question

09. 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. 1​

Answer 1

Hi friend_________..

Given:

Discount%=20%

Selling Price = 1600

Solution:

Let Market price = x

$\boxed{\rm \: Discount = Market \: price - Selling \: Price }$

Discount = (x-1600)

$\boxed{ \rm \: Discount\% = \frac{Discount}{Market \: price}×100}$

$\large \tt \: 20 = \frac{(x - 1600)}{x} \times 100$

$\large \tt \: \frac{20}{100} x = (x - 1600)$

$\large \tt \: \frac{1}{5} x = (x - 1600)$

$\large \tt \: 1600 = x - \frac{x}{5}$

$\large \: \tt \: 1600 = \frac{5x - x}{5}$

$\large \tt \: 1600 \times 5 = 5x - x$

$\large \tt \: 8000 = 4x$

$\large \tt \: \frac{8000}{4} =x$

$\boxed{ \large \sf \: x = 2000}$