2019 AMC 8 Problem 22
Attempt Problem 22 of the 2019 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2019 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
22.
A store increased the original price of a shirt by a certain percent and then decreased the new price by the same percent. Given that the resulting price was of the original price, by what percent was the price increased and decreased?
Answer: E
Small hint:
An increase by and decrease by multiplies by
Big hint:
Set
Video solution:
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Written solution:
Let be the percent converted to a real number. Then the percent increase would multiply the original by
The percent decrease would multiply the new price by The final price will then be the original price multiplied by
This tells us that
This tells us that the percent would be
Thus, the correct answer is E.
Problem 22 in other years
- 1985 AMC 8
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