1986 AJHSME Problems/Problem 15

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 <dollar/> $180$ ?

$\text{(A)}$ <dollar/> $54$

$\text{(B)}$ <dollar/> $72$

$\text{(C)}$ <dollar/> $90$

$\text{(D)}$ <dollar/> $108$

$\text{(D)}$ <dollar/> $110$

Solution

First we need to do the first discount, which, at Ajax Outlet Store, would be there any day of the week.

$180 \times 50\% = 180 \times \frac{1}{2} = 90$

Then we factor in the $20\%$ discount.

$90 \times 20\% = 90 \times \frac{2}{10} = 9 \times 2 = 18$

Thus it would cost $$$$ 18$ dollars!

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1986 AJHSME Problems/Problem 15

Problem

Solution

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