1955 AHSME Problem 26

Mr. A owns a house worth \${10000}. He sells it to Mr. B at 10% profit. Mr. B sells the house back to Mr. A at a 10% loss. Then:

\begin{array}{l} \textbf{(A)}\ \text{Mr. A comes out even}\qquad\textbf{(B)}\ \text{Mr. A makes } \${ 100}\qquad\textbf{(C)}\ \text{Mr. A makes } \${ 1000}\\ \textbf{(D)}\ \text{Mr. B loses } \${ 100}\qquad\textbf{(E)}\ \text{none of the above is correct} \end{array}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.