1986 AJHSME Problems/Problem 15

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Problem

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 $ $180$ ?

Solution

First we need to do the first discount, which, at Ajax Outlet Store, would be there any day of the week. $\begin{align*}180 \times 50\% &= 180 \times \frac{1}{2} \\&= 90 \\\end{align*}$

If we discount $20\%$ , then $80 \%$ will be left, so after the second discount, we get $\begin{align*}90 \times 80\% &= 90 \times \frac{8}{10} \\&= 9 \times 8 \\&= 72 \\\end{align*}$

$\boxed{\text{B}}$

1986 AJHSME (Problems • Resources)
Preceded by Problem 14	Followed by Problem 16
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1986 AJHSME Problems/Problem 15

From AoPSWiki

Problem

Solution

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