Difference between revisions of "2008 AMC 8 Problems/Problem 9"
Line 11: | Line 11: | ||
\textbf{(E)}\ 5\%\text{ gain}</math> | \textbf{(E)}\ 5\%\text{ gain}</math> | ||
+ | ==Solution== | ||
+ | After the <math>15 \%</math> loss, Tammy has <math>100 \cdot 0.85 = 85</math> dollars. After the <math>20 \%</math> gain, she has <math>85 \cdot 1.2 = 102</math> dollars. This is an increase in <math>2</math> dollars from her original <math>100</math> dollars, a <math>\boxed{\textbf{(D)}\ 2 \%\ \text{gain}}</math>. | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2008|num-b=8|num-a=10}} | {{AMC8 box|year=2008|num-b=8|num-a=10}} |
Revision as of 22:08, 24 December 2012
Problem
In Tycoon Tammy invested dollars for two years. During the the first year her investment suffered a loss, but during the second year the remaining investment showed a gain. Over the two-year period, what was the change in Tammy's investment?
Solution
After the loss, Tammy has dollars. After the gain, she has dollars. This is an increase in dollars from her original dollars, a .
See Also
2008 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |