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Official Guide Explanation:
Data Sufficiency #48
Background
This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Review (12th ed.). Click the links on the question number, difficulty level, and categories to find explanations for other problems.
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Solution and Metadata
Question: 48
Page: 277
Difficulty: 4 (Moderately Easy)
Category 1: Arithmetic > Ratio and Proportion >
Category 2: Arithmetic > Percents > other
Explanation: Statement (1) is insufficient. The question starts by asking the relationship between two variables--June transactions made by each of two salespeople. This statement adds a third: May transactions by Y. If we call June transactions by X xj and May transactions by Y ym, we can set up an equation:
xj = 1.5ym
Statement (2) is also insufficient. It says nothing about X. It does give us another relationship:
yj = 1.25ym
Taken together, the statements are sufficient. We're looking for ((xj)/(yj)), and each of the statements gives us one of those in terms of Y's May transactions. We can plug in each of those equations:
((xj)/(yj)) = ((1.5ym)/(1.25ym)) = ((1.5)/(1.25)) = (6/5)
Choice (C) is correct.
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