1951 AHSME Problem 5

Mr. A owns a home worth 10,000 dollars. 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:

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

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