44
QuizMultiple Choice

Topic Test

Question 44 • Applications and Modeling

Sam just purchased a new car. After his employee discount and the sale that the dealership applied to the original price, Sam paid $13,734.60. If Sam’s employee discount was applied to the original price after the dealer discount, then determine the original price of the vehicle given that the employee discount was 8% and the dealership discount was 25%. Round your answer to the nearest cent.

Answer
A
$20,375.21
B
$18,350.33
C
$19,250.13
D
$19,905.22

Explanation

The dealership discount leaves 75% of the original price, and the 8% employee discount then leaves 92% of that amount. Thus Sam paid 0.75 × 0.92 = 0.69, or 69%, of the original price. Divide $13,734.60 by 0.69 to get $19,905.217…, which rounds to $19,905.22, choice d.

AI-written and checked against the verified answer.

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