1955 AMC 12 Problem 26
Attempt Problem 26 of the 1955 AMC 12 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 1955 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
26.
Mr. owns a house worth He sells it to Mr. at profit. Mr. sells the house back to Mr. at a loss. Then:
Mr. comes out even
Mr. makes
Mr. makes
Mr. loses
none of the above is correct
Answer: E
Small hint:
The first sale price is
Big hint:
Mr. ’s loss is of what he paid, not of the original house value
Solution:
Mr. first receives dollars. Mr. then sells at a loss of of his -dollar cost, so Mr. buys the house back for dollars. Mr. again owns the house and has gained dollars; Mr. has lost dollars. None of the stated amounts is correct.
Thus, the correct answer is E.
Problem 26 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1958 AMC 12
- 1959 AMC 12
- 1960 AMC 12
- 1961 AMC 12
- 1962 AMC 12
- 1963 AMC 12
- 1964 AMC 12
- 1965 AMC 12
- 1966 AMC 12
- 1967 AMC 12
- 1968 AMC 12
- 1969 AMC 12
- 1970 AMC 12
- 1971 AMC 12
- 1972 AMC 12
- 1973 AMC 12
- 1974 AMC 12
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- 1976 AMC 12
- 1977 AMC 12
- 1978 AMC 12
- 1979 AMC 12
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- 1989 AMC 12
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- 1991 AMC 12
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- 1995 AMC 12
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- 1997 AMC 12
- 1998 AMC 12
- 1999 AMC 12