Question in-mar

3.2 Percentages - Percent increase/decrease
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In March, the price of a collectible card was $15.50. In April, the price of the collectible card was $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 ?

A.

12

B.

88

C.

112

D.

188

In March, the price of a collectible card was $ 15.50 . In April, the price

Hard-difficulty · SAT Math · Percentages — Percent increase/decrease. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. It's given that the price of the collectible card was $15.50 in March and $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 $17.36 is p% of $15.50. Therefore, the value of p can be calculated by solving the equation 17.36=p10015.50, or 17.36=15.50p100. Multiplying each side of this equation by 100 yields 1,736=15.50p. Dividing each side of this equation by 15.50 yields 112 = p . Therefore, the value of p is 112 .

Choice A is incorrect. 12% 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.