Question

A pair of skis was discounted 20%. How many percent will the discounted price have to be increased to return to the original price?

Please show work

Answer 1

25%

Explanation:

Let the original price of A pair of skis be $100

discount given on A pair of skis = 20% on original price

discount value of A pair of skis in $ = 20% * $100

= (20 * 100)/100 = $20

discounted price of A pair of skis = original price - discount = 100 -20 = $80

in order to increase discounted price to original price of $100

there must be increase of $20 to discounted price which is $80

percentage increase on discounted price to return to the original price =

`(increased \ amount / discounted \ price) * 100 \\=>( 20/80) * 100 = 25\\`

therefore 25% must be increase on discounted price to return to the original price