1990 AMC 8 Problem 8

Attempt Problem 8 of the 1990 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 1990 AMC 8 solutions, or check the answer key.

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

8.

A dress originally priced at $80\$80 was put on sale at 25%25\% off. If 10%10\% tax was added to the sale price, then the total selling price of the dress was
$45\$45
$52\$52
$54\$54
$66\$66
$68\$68
Answer: D
Concepts:percentage
Small hint:
A 25%25\% discount leaves 75%75\% of the price
Big hint:
Adding 10%10\% tax multiplies the sale price by 1.11.1
Solution:
The sale price is 34⋅$80=$60.\dfrac34 \cdot \$80 = \$60.
The tax is 10%10\% of $60,\$60, which is $6,\$6, so the total is $60+$6=$66.\$60 + \$6 = \$66.
Thus, the correct answer is D .
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