The price of a package of 4 pens is $8.00. The same pens are sold at $2.50 each. If Alex bought three packages of pens rather than buying 12 pens individually, the amount he saved on 12 pens is what percent of the amount he paid?
Correct answer: C. 25%
- A. 12%
- B. 20%
- C. 25%
- D. 30%
Explanation
To solve this problem, you need to understand the concept of percentage savings. First, calculate the cost of buying 12 pens individually: 12 pens at $2.50 each totals $30. Next, calculate the cost of buying 3 packages of 4 pens (12 pens total) at $8.00 per package: 3 packages cost $24. The savings from buying in packages is $30 - $24 = $6. The percentage saved is computed by dividing the savings by the package cost: ($6/$24) x 100% = 25%. Therefore, the correct answer is 25%. The other options represent incorrect calculations of the percentage saved based on the cost difference and the amount paid.
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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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