DAT Mr. Sharp’s Used Car Profit Problem (Quick Math Challenge) a topic that shows up often on the DAT Quantitative Reasoning section. | DAT Destroyer

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Here’s a fun one from Dr. Romano’s Math Destroyer!


Mr. Sharp bought two used cars, fixed them, and sold them both for a profit.

  • First car cost: $10,000, sold at 11% profit
  • Second car sold at 7% profit
  • Total profit = $2,000
What was the % difference between the money spent on the first versus the second car?

A) 30%
B) 28.57%
C) 82.57%
D) 32.57%
E) 23.57%

Solution:
0.11(10,000) + 0.07(X) = 2,000
1,100 + 0.07X = 2,000
0.07X = 900 → X = 12,857


% Difference = (12,857 − 10,000) / 10,000 × 100 = 28.57%


Answer: B (28.57%)


Great practice for proportional reasoning — a topic that shows up often on the DAT Quantitative Reasoning section.
 
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