A shop owner raises the price of a $100 pair of shoes by 50%. After a few weeks, because of falling sales, the owner reduces the price of the shoes by 50%. A customer then says that the shoes are back at the original price.

a.What is the mistaken assumption here?

b.Why is that assumption incorrect?

c.What do the shoes actually cost now?

By what percent should the shoes be decreased in order to have the price back at $100?