2008 AMC 8 Problems/Problem 9

Problem

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?

$\textbf{(A)}\ 5\%\text{ loss}\qquad \textbf{(B)}\ 2\%\text{ loss}\qquad \textbf{(C)}\ 1\%\text{ gain}\qquad \textbf{(D)}\ 2\% \text{ gain} \qquad \textbf{(E)}\ 5\%\text{ gain}$

Solution

After the 15% loss, Tammy has 100*0.85 = 85 dollars. After the 20% gain, she has 85*1.2=102 dollars. This is an increase in 2 dollars from her original 100 dollars, a d:2

2008 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 8	Followed by Problem 10
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All AJHSME/AMC 8 Problems and Solutions

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2008 AMC 8 Problems/Problem 9

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