1999 AMC 12 Problem 5

Attempt Problem 5 of the 1999 AMC 12 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 1999 AMC 12 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

5.

The marked price of a book was 30%30\% less than the suggested retail price. Alice purchased the book for half the marked price at a Fiftieth Anniversary sale. What percent of the suggested retail price did Alice pay?
25%25\%
30%30\%
35%35\%
60%60\%
65%65\%
Answer: C
Concepts:percentage
Small hint:
Let the suggested retail price be PP
Big hint:
The marked price is 0.7P,0.7P, and Alice pays half of that
Solution:
If the suggested retail price is P,P, then the marked price is 0.7P.0.7P. Alice pays half of this, 0.35P,0.35P, which is 35%35\% of the suggested retail price.
Thus, the correct answer is C.
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