# 1995 AJHSME Problems/Problem 10

## Problem

A jacket and a shirt originally sold for  (Error compiling LaTeX. ! Missing $inserted.)80$and 40, respectively. During a sale Chris bought the 80 jacket at a$40\%$discount and the 40 shirt at a$55\%$discount. The total amount saved was what percent of the total of the original prices?$\text{(A)}\ 45\% \qquad \text{(B)}\ 47\dfrac{1}{2}\% \qquad \text{(C)}\ 50\% \qquad \text{(D)}\ 79\dfrac{1}{6}\% \qquad \text{(E)}\ 95\%$.

## Solution

Chris would have spent $40 + 80 = 120$ dollars if there were no sale.

The sale means that he saved $80(0.40) + 40(0.55) = 32 + 22 = 54$ dollars.

He saved $\frac{54}{120}\cdot 100\% = 0.45 \cdot 100\% = 45\%$ off the total of the original prices, and the answer is $\boxed{A}$.

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