1999 AMC 12 第 5 题

先试着解答 1999 AMC 12 第 5 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1999 AMC 12 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

5.

一本书的标价比建议零售价低 30%30\%。Alice 在五十周年促销中以标价的一半买下这本书。Alice 支付的是建议零售价的百分之几?
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\%
答案:C
知识点:百分数
小提示:
设建议零售价为 PP。
Let the suggested retail price be PP
大提示:
标价是 0.7P0.7P,Alice 支付其中一半。
The marked price is 0.7P,0.7P, and Alice pays half of that
解答:
若建议零售价为 PP,则标价为 0.7P0.7P。Alice 支付其中一半,即 0.35P0.35P,也就是建议零售价的 35%35\%。
所以正确答案是 C。
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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