AHSME 1952 Problem 17

A merchant bought some goods at a discount of $20\%$ of the list price. He wants to mark them at such a price that he can give a discount of $20\%$ of the marked price and still make a profit of $20\%$ of the selling price. The per cent of the list price at which he should mark them is: $\textbf{(A) \ }20 \textbf{(B) \ }100 \textbf{(C) \ }125 \textbf{(D) \ }80 \textbf{(E) \ }120$