SAT Math Multiple Choice Question 599: Answer and Explanation

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Test Information

Question: 599

14. When a certain kitchen appliance store decides to sell a floor model, it marks the retail price of the model down 25% and puts a "Floor Model Sale" sign on it. Every 30 days after that, the price is marked down an additional 10% until it is sold. The store decides to sell a floor model refrigerator on January 15th. If the retail price of the refrigerator was $1,500 and it is sold on April 2nd of the same year, what is the final selling price, not including tax?

  • A. $820.13
  • B. $825.00
  • C. $911.25
  • D. $1,012.50

Correct Answer: C

Explanation:

C

Difficulty: Hard

Category: Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

Strategic Advice: Draw a chart or diagram detailing the various price reductions for each 30 days.

Getting to the Answer:

Date% of Most Recent PriceResulting Price
Jan. 15100 – 25% = 75%$1,500 × 0.75 = $1,125
Feb. 15100 – 10% = 90%$1,125 × 0.9 = $1,012.50
Mar. 15100 – 10% = 90%$1,012.50 × 0.9 = $911.25

You can stop here because the refrigerator was sold on April 2, which is not 30 days after March 15. The final selling price was $911.25.

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