2005 AMC 8 Problem 11

The sales tax rate in Bergville is 6%. During a sale at the Bergville Coat Closet, the price of a coat is discounted 20% from its \$90.00 price. Two clerks, Jack and Jill, calculate the bill independently. Jack brings up \$90.00 and adds 6% sales tax, then subtracts 20% from this total. Jill brings up \$90.00, subtracts 20% of the price, then adds 6% of the discounted price for sales tax. What is Jack's total minus Jill's total?

\textbf{(A)}\ - \$1.06\qquad\textbf{(B)}\ - \$0.53\qquad\textbf{(C)}\ 0\qquad\textbf{(D)}\ \$0.53\qquad\textbf{(E)}\ \$1.06

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