AHSME 1950 Problem 36

A merchant buys goods at $25\%$ off the list price. He desires to mark the goods so that he can give a discount of $20\%$ on the marked price and still clear a profit of $25\%$ on the selling price. What percent of the list price must he mark the goods? $\textbf{(A)}\ 125\% \textbf{(B)}\ 100\% \textbf{(C)}\ 120\% \textbf{(D)}\ 80\% \textbf{(E)}\ 75\%$