AMC 8 2013 Problem 12

AMC8 2013 年第 12 题

百分比★★★☆☆

At the 2013 Winnebago County Fair a vendor is offering a "fair special" on sandals. If you buy one pair of sandals at the regular price of $50, you get a second pair at a 40% discount, and a third pair at half the regular price. Javier took advantage of the "fair special" to buy three pairs of sandals. What percentage of the $150 regular price did he save?

在 2013 年温尼贝戈县博览会上，一位供应商提供了一款凉鞋的“展会特价”。如果以原价 50 元购买一双凉鞋，那么第二双价格降低 40％，第三双半价。Javier 利用“展会特价”买了三双凉鞋。那么对比原价 150 美元，他节省了百分之多少？

A.25%
B.30%
C.33%
D.40%
E.45%

正确答案 · Correct Answer

解析 · Solution

Solution 1

First, find the amount of money one will pay for three sandals without the discount. We have

\$50×3 \text{ sandals} = \$150

. Then, find the amount of money using the discount:

\displaystyle 50 + 0.6×50 + \frac{1}{2} \times 50 = \$105

. Finding the percentage yields

\displaystyle \frac{105}{150} = 70\%

. To find the percent saved, we have 100 % -70 %= 30 %

继续练习

免费刷 2013 整卷 →