Compare a percentage fee on two ticket prices

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Quantitative Reasoning

A ticket agency charges a service fee that is a fixed percentage of the price of each ticket. The service fee for a ticket priced at $\$80$ is $\$6$ . Quantity A: The service fee for a ticket priced at $\$120$ Quantity B: $\$8.50$

Compare Quantity A and Quantity B. Select one answer.

AQuantity A is greater.BQuantity B is greater.CThe two quantities are equal.DThe relationship cannot be determined from the information given.

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Answer: A (Quantity A is greater.)

The service fee as a fraction of the ticket price is $\frac{\$6}{\$80} = 0.075$ , so the service fee is $7.5$ percent of the ticket price. For a ticket priced at $\$120$ , the service fee is $(0.075)(\$120) = \$9$ . Since $\$9$ is greater than $\$8.50$ , Quantity A is greater.

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Quantitative Reasoning

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