1999 AMC 12 Problem 5

Below is the professionally curated solution for Problem 5 of the 1999 AMC 12, 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.

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Concepts:percentage

Difficulty rating: 960

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\%

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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