GMAT OG数学有趣的算法—折完交个朋友

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GMAT OG数学有趣的算法—折完交个朋友

At a certain clothing store, customers who buy 2 shirts pay the regular price for the first shirt and a discounted price for the second shirt. The store makes the same profit from the sale of 2 shirts that it makes from the sale of 1 shirt at the regular price. For a customer who buys 2 shirts, what is the discounted price of the second shirt?

1. The regular price of each of the 2 shirts the customer buys at the clothing store is $16.

2. The cost to the clothing store of each of the 2 shirts the customer buys is $12.

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.

题目的意思是如果一次买两件，第一件就是原价，第二件是折后价。这种方式卖两件的利润跟原价卖一件的利润是一样的。要注意的是，两件的利润分成两个部分，第一件原价的利润（x）和第二件折后价的利润（y），但又说这两个加在一起跟原价卖一件的利润（x）一样，也就意味着第二件折后价的利润为0。利润为0，倒也不是白送，就是折后价-成本为0，可见折后价就是成本价，不赚钱，交个朋友。

现在题目问第二件的折后价是多少？

条件1说原价是16，知道原价不知道折扣，算不出折后价。所以条件1不确定。

条件2说成本就是12，通过对题目的分析我们知道折后价就等于成本，所以折后价也是12。条件2可以确定。所以选B。

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