AMC 8 1996 Problem 18

AMC8 1996 年第 18 题

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Ana's monthly salary was $2000 in May. In June she received a 20% raise. In July she received a 20% pay cut. After the two changes in June and July, Ana's monthly salary was
Ana 五月份的月薪是 $2000。六月份她获得了 20% 的加薪。七月份她的薪水被削减了 20%。经过六月和七月的两次变动后,Ana 的月薪是
  1. A.1920 dollars1920\text{ dollars} / 1920 美元
  2. B.1980 dollars1980\text{ dollars} / 1980 美元
  3. C.2000 dollars2000\text{ dollars} / 2000 美元
  4. D.2020 dollars2020\text{ dollars} / 2020 美元
  5. E.2040 dollars2040\text{ dollars} / 2040 美元

正确答案 · Correct Answer

A

解析 · Solution

Solution 1

Notice that a 20% raise translates to Ana's monthly salary multiplied by (100 + 20)% = 120%, and a 20% pay cut translates to her salary multiplied by 100% - 20% = 80%, so
2000⋅120%=24002000 \cdot 120\% = 2400 2400⋅80%=1920→2400 \cdot 80\% = 1920 \rightarrow

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