Problem:
For a sale, a store owner reduces the price of a scarf by . Later the price is lowered again, this time by one-half the reduced price. The price is now
Answer Choices:
A.
B.
C.
D.
E.
Solution:
First reduction: .
Second reduction: .
The sale price is of the original price. After the next reduction, the final price is one-half the sale price, or one-half of or . Therefore, .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions