A discount of 5 percent on the listed price of an article was offered, reducing the profit by $120 that could have been earned if it were sold at the listed price

题目

A discount of 5 percent on the listed price of an article was offered, reducing the profit by $120 that could have been earned if it were sold at the listed price.

Quantity A

The actual price at which the article was sold

Quantity B

$2,000

选项

Quantity A is greater.

Quantity B is greater.

The two quantities are equal.

The relationship cannot be determined from the information given.

解析

设 L = 该商品的标价，c = 该商品的成本，p = 按标价出售该商品所获得的利润。 L - c = p 0.95L - c = p - 120 0.05L = 120 L = 2400 打 5% 折扣后，该商品的实际售价为 0.95 × L = 2280。由于 2280 > 2000，因此A项的数值更大。

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