A store advertises that it is offering a 12 discount on all

A store advertises that it is offering a 12% discount on all articles purchased at the store. If Roberto pays $560.56 for an article, what was the marked price for the article?

Solution

let x be the marked price

12% discount ==> Amount to be paid is 88% of marked price

==> Amount to be paid = (88% of x) = 0.88x

Roberto paid $560.56 for an article

==> 0.88x = 560.56

==> x = 560.56 / 0.88

==> x = 637

Hence marked price for the article is $637