1988 AMC 8 Problem 22
Attempt Problem 22 of the 1988 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1988 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
22.
Tom’s Hat Shoppe increased all original prices by Now the shoppe is having a sale where all prices are off these increased prices. Which statement best describes the sale price of an item?
The sale price is higher than the original price.
The sale price is higher than the original price, but by less
than
The sale price is higher than the original price, but by more
than
The sale price is lower than the original price.
The sale price is the same as the original
price.
Answer: E
Small hint:
Increasing by multiplies the price by taking off multiplies by
Big hint:
Multiply the two factors together and compare the result to
Solution:
Increasing by multiplies the price by and then taking off multiplies by
The overall factor is so the sale price equals the original price.
Thus, the correct answer is E .
Problem 22 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
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