Difference between revisions of "1953 AHSME Problems/Problem 30"
Awesome yz (talk | contribs) (→See Also) |
Math Kirby (talk | contribs) m |
||
(One intermediate revision by one other user not shown) | |||
Line 1: | Line 1: | ||
==Problem 30== | ==Problem 30== | ||
− | A house worth | + | A house worth <math>$ 9000</math> is sold by Mr. A to Mr. B at a <math>10\%</math> loss. Mr. B sells the house back to Mr. A at a <math>10\%</math> gain. |
The result of the two transactions is: | The result of the two transactions is: | ||
Line 10: | Line 10: | ||
==Solution== | ==Solution== | ||
− | When Mr.A sells the house at a <math>10</math> | + | When Mr.A sells the house at a <math>10\%</math> loss, he sells it for <math>9000(1 - .1) = 8100</math>. When Mr.B sells the house back to Mr. A at a <math>10\%</math> gain he sells it for <math>8100(1 + .1) = 8910</math>. Therefore Mr. A has lost <math>8100-8910 = 810</math> dollars, so the answer is <math>\boxed{D}</math>. |
==See Also== | ==See Also== |
Latest revision as of 22:58, 30 October 2024
Problem 30
A house worth is sold by Mr. A to Mr. B at a loss. Mr. B sells the house back to Mr. A at a gain. The result of the two transactions is:
Solution
When Mr.A sells the house at a loss, he sells it for . When Mr.B sells the house back to Mr. A at a gain he sells it for . Therefore Mr. A has lost dollars, so the answer is .
See Also
1953 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 29 |
Followed by Problem 31 | |
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.