1988 AMC 8 第 22 题

先试着解答 1988 AMC 8 第 22 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 1988 AMC 8 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。

22.

汤姆的帽子店把所有原价都提高了 25%25\%。现在商店促销,所有商品在提高后的价格基础上再降低 20%20\%。下面哪句话最能描述一件商品的促销价?
Tom’s Hat Shoppe increased all original prices by 25%.25\%. Now the shoppe is having a sale where all prices are 20%20\% off these increased prices. Which statement best describes the sale price of an item?
促销价比原价高 5%5\%
The sale price is 5%5\% higher than the original price.
促销价高于原价,但高出不到 5%5\%。
The sale price is higher than the original price, but by less than 5%.5\%.
促销价高于原价,但高出超过 5%5\%。
The sale price is higher than the original price, but by more than 5%.5\%.
促销价低于原价。
The sale price is lower than the original price.
促销价与原价相同。
The sale price is the same as the original price.
答案:E
知识点:百分数
小提示:
提价 25%25\% 会把价格乘以 1.251.25;再打 20%20\% 折扣会乘以 0.800.80。
Increasing by 25%25\% multiplies the price by 1.25;1.25; taking 20%20\% off multiplies by 0.800.80
大提示:
把这两个因数相乘,并与 11 比较
Multiply the two factors together and compare the result to 11
解答:
提价 25%25\% 会把价格乘以 1.251.25,然后打 20%20\% 折扣会乘以 0.800.80。
总体因数是 1.25×0.80=1.001.25 \times 0.80 = 1.00,所以促销价等于原价。
所以正确答案是 E。
Increasing by 25%25\% multiplies the price by 1.25,1.25, and then taking 20%20\% off multiplies by 0.80.0.80.
The overall factor is 1.25×0.80=1.00,1.25 \times 0.80 = 1.00, so the sale price equals the original price.
Thus, the correct answer is E .
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