Asked in Science and Maths Reasoning 2024 — Test 2 2024

A customer paid $53.00 for a jacket after a 6 percent sales tax was added. What was the price of the jacket before the sales tax was added?

Correct answer: B. $50.00

  • A. $47.60
  • B. $50.00
  • C. $52.60
  • D. $52.84

Explanation

Choice B is correct. Let x be the price, in dollars, of the jacket before sales tax. The price of the jacket after the 6% sales tax is added was $53. This can be expressed by the equation x + 0.06x = 53, or 1.06x = 53. Dividing each side of this equation by 1.06 gives x = 50. Therefore, the price of the jacket before sales tax was $50.

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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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