Sue's monthly earnings consist of a monthly salary and a 4 percent commission on the portion of her monthly sales that is in excess of $2,000

题目

Sue's monthly earnings consist of a monthly salary and a 4 percent commission on the portion of her monthly sales that is in excess of $2,000. If Sue's monthly salary was the same in July as in August, how much greater were her sales in July than in August?

(1) Sue's monthly earnings were $3,620 in July and $3,580 in August.

(2) Sue's monthly salary was $3,500 in July and in August.

选项

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

解析

设Sue的月薪为 X。 **条件1（充分）：** 七月的佣金 = 3620 - X 八月的佣金 = 3500 - X 七月与八月的佣金差额 = (3620 - X) - (3500 - X) = 40 七月与八月的销售额差额 = 40 ÷ (4/100) = 1000 （注：佣金费率为超出2000美元部分的销售额的4%。但在计算销售额差额时，我们无需考虑这2000美元的基准线，因为我们只关心销售额本身的差额。） **条件2（不充分）：** 题目仅给出了月薪，但未提供七月或八月的佣金与销售额的任何信息。 **答案：A**

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