AMC 8 2008 Problem 9

AMC8 2008 年第 9 题

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In 2005 Tycoon Tammy invested 100 dollars for two years. During the first year her investment suffered a 15% loss, but during the second year the remaining investment showed a 20% gain. Over the two-year period, what was the change in Tammy's investment?
2005 年大亨塔米投资了 100 美元,投资时长为两年。在第一年,她的投资遭受了 15%的损失,但在第二年,剩余的投资获得了 20%的收益。则在这两年的时间里,塔米的投资发生了什么变化?
  1. A.5% loss5\%\text{ loss} / 亏损 5%
  2. B.2% loss2\%\text{ loss} / 亏损 2%
  3. C.1% gain1\%\text{ gain} / 盈利 1%
  4. D.2% gain2\% \text{ gain} / 盈利 2%
  5. E.5% gain5\%\text{ gain} / 盈利 5%

正确答案 · Correct Answer

D

解析 · Solution

Solution 1

After the 15 % loss, Tammy has 100⋅0.85=85100 \cdot 0.85 = 85 dollars. After the 20 % gain, she has 85⋅1.2=10285 \cdot 1.2 = 102 dollars. This is an increase in 2 dollars from her original 100 dollars, a 2% gain2 \%\ \text{gain}.

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