1997 AJHSME Problems/Problem 16
Contents
[hide]Problem
Penni Precisely buys $100 worth of stock in each of three companies: Alabama Almonds, Boston Beans, and California Cauliflower. After one year, AA was up 20%, BB was down 25%, and CC was unchanged. For the second year, AA was down 20% from the previous year, BB was up 25% from the previous year, and CC was unchanged. If A, B, and C are the final values of the stock, then
Solution 1
AA is after one year. After the second year, AA is .
BB is after one year. After the second year, BB is
CC remains unchanged throughout, and stays at .
Thus, , and the right answer is
Solution 2
AA will be at the end.
BB will be at the end.
CC will be unchanged at .
Since all the fractions are under , will be highest value.
Since is only away from , while is away from , is closer to , and will be closer to the original value.
Thus, , and the right answer is
See also
1997 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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