1951 AHSME Problems/Problem 5

Problem 5

Mr. $A$ owns a home worth $ $10,000$ . He sells it to Mr. $B$ at a $10\%$ profit based on the worth of the house. Mr. $B$ sells the house back to Mr. $A$ at a $10\%$ loss. Then:

$\mathrm{(A) \ A\ comes\ out\ even } \qquad$ $\mathrm{(B) \ A\ makes\ 1100\ on\ the\ deal}$ $\qquad \mathrm{(C) \ A\ makes\ 1000\ on\ the\ deal } \qquad$ $\mathrm{(D) \ A\ loses\ 900\ on\ the\ deal }$ $\qquad \mathrm{(E) \ A\ loses\ 1000\ on\ the\ deal }$

Solution

Mr. $A$ earns $1.1\cdot <dollar/> 10,000= <dollar/> 11,000$ after he sells it to Mr. $B$ . Then, Mr. $B$ sells it at a price of $(1-0.1)\cdot <dollar/>11,000=<dollar/>9,900$ , so $\boxed{\textrm{(B)}\ \text{A makes 1100 on the deal}}$ .

1951 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 4	Followed by Problem 6
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1951 AHSME Problems/Problem 5

Problem 5

Solution

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