1953 AHSME Problem 17

A man has part of 4500 invested at 4 % and the rest at 6 %. If his annual return on each investment is the same, the average rate of interest which he realizes of the 4500 is:

\textbf{(A)}\ 5\% \qquad \textbf{(B)}\ 4.8\% \qquad \textbf{(C)}\ 5.2\% \qquad \textbf{(D)}\ 4.6\% \qquad \textbf{(E)}\ \text{none of these}

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