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题库 / OG2017Q-DS-222
In a certain order, the pretax price of each regular pencil was $0.03, the pretax price of each deluxe pencil was $0.05, and there were 50% more deluxe pencils than regular pencils. All taxes on the order are a fixed percent of the pretax prices. The sum of the total pretax price of the order and the tax on the order was $44.10. What was the amount, in dollars, of the tax on the order?
(1) The tax on the order was 5% of the total pretax price of the order.
(2)The order contained exactly 400 regular pencils.
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.
题目分析：
设税额为x，则订单税前总价为44.10-x
（1） 该订单的税额是该订单的税前总价格的5％。则有x=0.05*(44.10-x)，解得x=2.1，题目得解。
（2） 订单包含常规铅笔400支，豪华铅笔比常规多50%，所以豪华铅笔有400*(1+0.5)=600支，因此，订单总额为0.03*400+0.05*600=42美元，则税额为44.10-42=2.1美元。
因此，本题答案为（D），任何一个条件说明均能解题。