Of the total number of copies of Magazine X sold last week, 40 percent were sold at full price

题目

Of the total number of copies of Magazine X sold last week, 40 percent were sold at full price. What was the total number of copies of the magazine sold last week?

(1) Last week, full price for a copy of Magazine X was $1.50 and the total revenue from full-price sales was $112,500.

(2) The total number of copies of Magazine X sold last week at full price was 75,000.

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

- **题干**：在上周杂志X销售的总份数中，40%是以全价出售的。上周该杂志销售的总份数是多少？ - **条件（1）**：上周，一份杂志X的全价是1.50美元，全价销售的总收入是112,500美元。 - **条件（2）**：上周以全价销售的杂志X的总份数是75,000份。 - **条件（1）** 已知全价为$1.5$美元，全价销售的总收入为$112500$美元，那么全价销售的份数为$\frac{112500}{1.5}=75000$份。又因为全价销售的份数占总销售份数的$40\%$，设总销售份数为$x$，则可列出方程$0.4x = 75000$，解得$x=\frac{75000}{0.4}=187500$份。所以条件（1）单独充分。 - **条件（2）** 已知全价销售的份数为$75000$份，而全价销售的份数占总销售份数的$40\%$，设总销售份数为$y$，则可列出方程$0.4y=75000$，解得$y = 187500$份。所以条件（2）单独充分。综上，每个陈述单独都足够回答问题，答案是D

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