1955 AHSME Problems/Problem 26
Revision as of 12:01, 18 November 2020 by Angrybird029 (talk | contribs) (Created page with "Mr. <math>A</math> owns a house worth <math>\textdollar{10000}</math>. He sells it to Mr. <math>B</math> at <math>10</math>% profit. Mr. <math>B</math> sells the house back to...")
Mr. owns a house worth . He sells it to Mr. at % profit. Mr. sells the house back to Mr. at a % loss. Then:
Solution
Assume that Mr. has to start with (the house) and Mr. has
sells the house to for , leaving Mr. with and Mr. with .
Then, Mr. sells the house back to Mr. for , which leaves with and with .
We can see that gained out of Mr. 's expense, but none of the options says this. We can therefore conclude that the correct answer is .
See Also
1955 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 25 |
Followed by Problem 27 | |
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 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.