Problem:
In  Tycoon Tammy invested  for two years. During 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?
Answer Choices:
A.  loss 
B.  loss 
C.  gain 
D.  gain 
E.  gain 
Solution:
At the end of the first year, Tammy's investment was of the original amount, or . At the end of the second year, she had of her first year's final amount, or of . Over the two-year period, Tammy's investment changed from to , so she gained .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions