2002 AMC 8 Problem 14
Attempt Problem 14 of the 2002 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2002 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
A merchant offers a large group of items at off. Later, the merchant takes off these sale prices and claims that the final price of these items is off the original price. The total discount is
Answer: B
Small hint:
After a discount, of the original price remains.
Big hint:
The second discount is off the sale price, not the original price.
Solution:
Let the original price be After the discount, the price is
Taking another off that sale price leaves
The customer pays of the original price, so the total discount is
Thus, B is the correct answer.
Problem 14 in other years
- 1985 AMC 8
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