Difference between revisions of "1953 AHSME Problems/Problem 30"

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[[Category:Introductory Algebra Problems]]
 
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Revision as of 16:43, 15 July 2018

Problem 30

A house worth $ $9000$ is sold by Mr. A to Mr. B at a $10$ % loss. Mr. B sells the house back to Mr. A at a $10$ % gain. The result of the two transactions is:

$\textbf{(A)}\ \text{Mr. A breaks even} \qquad \textbf{(B)}\ \text{Mr. B gains }$900 \qquad \textbf{(C)}\ \text{Mr. A loses }$900\\ \textbf{(D)}\ \text{Mr. A loses }$810\qquad \textbf{(E)}\ \text{Mr. B gains }$1710$

Solution

When Mr.A sells the house at a $10$% loss, he sells it for $9000(1 - .1) = 8100$. When Mr.B sells the house back to Mr. A at a $10$ % gain he sells it for $8100(1 + .1) = 8910$. Therefore Mr. A has lost $8100-8910 = 900$ dollars, so the answer is $\boxed{D}$.

See Also

1953 AHSC (ProblemsAnswer KeyResources)
Preceded by
[[1953 AHSME Problems/Problem {{{num-b}}}|Problem {{{num-b}}}]]
Followed by
Problem 31
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