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Problem-Solving and Data Analysis / Percentages Difficulty: Medium

In March, the price of a collectible card was $dollar sign 15.50$ . In April, the price of the collectible card was $dollar sign 17.36$ . The price of the collectible card in April was $p %$ of the price of the collectible card in March. What is the value of $p$ ?

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Explanation

Choice C is correct. It's given that the price of the collectible card was $dollar sign 15.50$ in March and $dollar sign 17.36$ in April. It's also given that the price of the collectible card in April was $p %$ of the price in March. It follows that $dollar sign 17.36$ is $p %$ of $dollar sign 15.50$ . Therefore, the value of $p$ can be calculated by solving the equation $17.36 = (\frac{p}{100}) (15.50)$ , or $17.36 = \frac{15.50 p}{100}$ . Multiplying each side of this equation by $100$ yields $1,736 equals 15.50 p$ . Dividing each side of this equation by $15.50$ yields $112 equals p$ . Therefore, the value of $p$ is $112$ .

Choice A is incorrect. $12 percent sign$ is the percent increase in the price of the collectible card from March to April.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.