Problem:
Tom's Hat Shoppe increased all original prices by . Now the shoppe is having a sale where all prices are off these increased prices. Which statement best describes the sale price of an item?
Answer Choices:
A. The sale price is higher than the original price.
B. The sale price is higher than the original price, but by less than .
C. The sale price is higher than the original price, but by more than .
D. The sale price is lower than the original price.
E. The sale price is the same as the original price.
Solution:
An item whose original cost was , for example, will cost more or . The sale price of a item will be of its current price or - - the original cost. The same kind of comparison can be made for any original cost.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions