The list price of a television set is t dollars.

Correct answer: C. Both are equal

  • A. The quantity on the left is greater
  • B. The quantity on the right is greater
  • C. Both are equal
  • D. The relationship cannot be determined without further information

Explanation

The original price of the television is represented by t dollars. When a 15% discount is given, the new price is calculated as 85% of the original price, which is 0.85t. This shows that both quantities are indeed equal, as they both represent the discounted price of the television. Option C correctly identifies this equality, while Options A and B are incorrect as they assume a calculation error. Option D is incorrect because the information provided is sufficient to determine the relationship between the quantities.

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About Quantitative Reasoning

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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