Difference between revisions of "1986 AJHSME Problems/Problem 15"

Latest revision as of 22:48, 18 November 2024

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 $\textdollar 180$ ?

$\text{(A)}$ $\textdollar 54$

$\text{(B)}$ $\textdollar 72$

$\text{(C)}$ $\textdollar 90$

$\text{(D)}$ $\textdollar 108$

$\text{(E)}$ $\textdollar 110$

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 • Answer Key • Resources)
Preceded by Problem 14	Followed by Problem 16
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All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

@@ Line 11: / Line 11: @@
 <math>\text{(D)}</math> <math>\textdollar 108</math>
-<math>\text{(D)}</math> <math>\textdollar 110</math>
+<math>\text{(E)}</math> <math>\textdollar 110</math>
 ==Solution==

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Difference between revisions of "1986 AJHSME Problems/Problem 15"

Latest revision as of 22:48, 18 November 2024

Problem

Solution

See Also