2004 AMC 8 Problem 22

At a party there are only single women and married men with their wives. The probability that a randomly selected woman is single is \frac25. What fraction of the people in the room are married men?

\textbf{(A)}\ \frac13\qquad \textbf{(B)}\ \frac38\qquad \textbf{(C)}\ \frac25\qquad \textbf{(D)}\ \frac{5}{12}\qquad \textbf{(E)}\ \frac35

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