ASVAB · Fractions, Decimals, and Percentages

If a shirt that originally costs $50 is on sale for 20% off, what is the sale price?

Correct answer

$40

  1. A $48
  2. B $45
  3. C $30
  4. D $40

Why this is the answer

Two ways to solve: (1) Calculate the discount, then subtract: 20% of $50 = 0.20 × $50 = $10 discount; $50 - $10 = $40 sale price. (2) Calculate the percent remaining and multiply: 100% - 20% = 80% remaining; 80% of $50 = 0.80 × $50 = $40 sale price. Method 2 is often faster on the ASVAB. Be careful with percent problems: '20% off' and '20% of' are different. '20% off' means subtract 20%; '20% of' means just calculate that percentage. Multi-step problems may involve discount then tax: $40 (sale price) + 8% tax = $40 × 1.08 = $43.20. Or sequential discounts: 20% off then 10% off is NOT 30% off — apply each successively: $50 × 0.80 × 0.90 = $36. The ASVAB often includes problems with sequential percentages, which trip up test-takers who try to combine them incorrectly.
Source: ASVAB AR — Discount Problems

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About this topic: Fractions, Decimals, and Percentages

Fractions, decimals and percentages appear in nearly every ASVAB maths section. These questions cover converting between the three forms, finding a percentage of a number, percent change and operations with mixed numbers. This is one of 10 Arithmetic Reasoning questions on fractions, decimals, and percentages, each with a full explanation on a single study page.

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