AMC 8 2012 Problem 8

A shop advertises everything is "half price in today's sale." In addition, a coupon gives a 20% discount on sale prices. Using the coupon, the price today represents what percentage off the original price? $\textbf{(A)}\hspace{.05in}10 \textbf{(B)}\hspace{.05in}33 \textbf{(C)}\hspace{.05in}40 \textbf{(D)}\hspace{.05in}60 \textbf{(E)}\hspace{.05in}70$