1994 AMC 8 Problem 9

Attempt Problem 9 of the 1994 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1994 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

9.

A shopper buys a $100\$100 coat on sale for 20%20\% off. An additional $5\$5 is taken off the sale price by using a discount coupon. A sales tax of 8%8\% is paid on the final selling price. The total amount the shopper pays for the coat is
$81.00\$81.00
$81.40\$81.40
$82.00\$82.00
$82.08\$82.08
$82.40\$82.40
Answer: A
Concepts:percentage
Small hint:
Apply the 20%20\% discount first, then subtract the $5\$5 coupon
Big hint:
Multiply the resulting price by 1.081.08 to add the 8%8\% tax
Solution:
The 20%20\% discount lowers the price to $80,\$80, and the $5\$5 coupon reduces it to $75.\$75.
Adding 8%8\% tax gives 1.08×$75=$81.00.1.08 \times \$75 = \$81.00.
Thus, the correct answer is A .
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