1986 AJHSME Problem 15

Sale prices at the Ajax Outlet Store are 50\% below original prices. On Saturdays an additional discount of 20\% off the sale price is given. What is the Saturday price of a coat whose original price is \$180?

\text{(A)}\ 54 \qquad \text{(B)}\ 72 \qquad \text{(C)}\ 90 \qquad \text{(D)}\ 108 \qquad \text{(E)}\ 110$

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