AMC 8 1988 Problem 22

AMC8 1988 年第 22 题

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Tom's Hat Shoppe increased all original prices by 25% . Now the shoppe is having a sale where all prices are 20% off these increased prices. Which statement best describes the sale price of an item?

Tom's Hat Shoppe 将所有原价提高 25%。现在该店正在进行促销，所有价格在提高后的基础上打 20% 折扣。以下哪句话最能描述商品的促销价格？

A. $\text{The sale price is }5\% \text{ higher than the original price.}$ / 售价比原价高 5%

正确答案 · Correct Answer

解析 · Solution

Solution 1

Let

x

be the original price of the item. The shoppe originally increased this to 1.25x. The sale brings it down to (0.8)(1.25x)=x, so

\text{The sale price is the same as the original price.}

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