Difference between revisions of "1951 AHSME Problems/Problem 5"
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<math> \mathrm{(A) \ A\ comes\ out\ even } \qquad</math> <math>\mathrm{(B) \ A\ makes\ 1100\ on\ the\ deal}</math> <math> \qquad \mathrm{(C) \ A\ makes\ 1000\ on\ the\ deal } \qquad</math> <math>\mathrm{(D) \ A\ loses\ 900\ on\ the\ deal }</math> <math>\qquad \mathrm{(E) \ A\ loses\ 1000\ on\ the\ deal } </math> | <math> \mathrm{(A) \ A\ comes\ out\ even } \qquad</math> <math>\mathrm{(B) \ A\ makes\ 1100\ on\ the\ deal}</math> <math> \qquad \mathrm{(C) \ A\ makes\ 1000\ on\ the\ deal } \qquad</math> <math>\mathrm{(D) \ A\ loses\ 900\ on\ the\ deal }</math> <math>\qquad \mathrm{(E) \ A\ loses\ 1000\ on\ the\ deal } </math> | ||
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==Solution== | ==Solution== | ||
Mr. <math>A</math> earns <math>1.1\cdot</math> <dollar/> <math>10,000=</math> <dollar/> <math>11,000</math> after he sells it to Mr. <math>B</math>. Then, Mr. <math>B</math> sells it at a price of <math>(1-0.1)\cdot</math> <dollar/><math>11,000=</math><dollar/><math>9,900</math>, so <math>\boxed{\textrm{(B)}\ \text{A makes 1100 on the deal}}</math>. | Mr. <math>A</math> earns <math>1.1\cdot</math> <dollar/> <math>10,000=</math> <dollar/> <math>11,000</math> after he sells it to Mr. <math>B</math>. Then, Mr. <math>B</math> sells it at a price of <math>(1-0.1)\cdot</math> <dollar/><math>11,000=</math><dollar/><math>9,900</math>, so <math>\boxed{\textrm{(B)}\ \text{A makes 1100 on the deal}}</math>. | ||
| − | ==See | + | |
| − | {{AHSME box|year=1951|num-b=4|num-a=6}} | + | ==See Also== |
| + | {{AHSME 50p box|year=1951|num-b=4|num-a=6}} | ||
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| + | [[Category:Introductory Algebra Problems]] | ||
Revision as of 07:46, 29 April 2012
Problem 5
Mr. 
owns a home worth $
. He sells it to Mr. 
at a 
profit based on the worth of the house. Mr. sells the house back to Mr. at a loss. Then:
Solution
Mr. earns 
<dollar/> 
<dollar/> 
after he sells it to Mr. . Then, Mr. sells it at a price of 
<dollar/>
<dollar/>
, so 
.
See Also
| 1951 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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 | ||
