AMC 8 1985 Problem 14

AMC8 1985 年第 14 题

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The difference between a 6.5% sales tax and a 6% sales tax on an item priced at $20 before tax is
一件标价 $20 的商品,6.5% 销售税和 6% 销售税的差额是
  1. A.$0.01
  2. B.$0.10
  3. C.$0.50
  4. D.$1
  5. E.$10

正确答案 · Correct Answer

B

解析 · Solution

Solution 1

With a 6.5% sales tax, an item costs 1.065 times its listed price, while with a 6% sales tax, it costs 1.06 times its listed price. The difference between these prices is therefore 1.065 - 1.06 =.005 times its listed price. For this item, this difference is 0.005⋅20=0.100.005 \cdot 20 = 0.10.

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