Problem:
In a certain year the price of gasoline rose by during January, fell by during February, rose by during March, and fell by during April. The price of gasoline at the end of April was the same as it had been at the beginning of January. To the nearest integer, what is ?
Answer Choices:
A.
B.
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E.
Solution:
Let denote the price at the beginning of January. The price at the end of March was . Because the price at the end of April was , the price decreased by during April, and the percent decrease was
To the nearest integer, is .
The problems on this page are the property of the MAA's American Mathematics Competitions