1955 AHSME Problem 22

On a \${10000} order a merchant has a choice between three successive discounts of 20%, 20%, and 10% and three successive discounts of 40%, 5%, and 5%. By choosing the better offer, he can save:

\textbf{(A)}\ \text{nothing at all}\qquad\textbf{(B)}\ 440\qquad\textbf{(C)}\ 330\qquad\textbf{(D)}\ 345\qquad\textbf{(E)}\ 360

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