Question

A clothing store offers a 50% discount at the end of

each week that an item remains unsold. Patrick
wants to buy a shirt at the store and he says, "I've
got a great idea! I'll wait two weeks, have 100%
off, and get it for free!" Explain to your friend
Patrick why he is incorrect and find the correct
percent of discount on the original price of a shirt.

Answer 1

Let the original price of the item be X.

In one week, the price is halved and becomes (1/2)X.

In two weeks, the price is halved again and becomes (1/4)X, which is only 75% off.