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## Official Guide Explanation:Data Sufficiency #9

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.

These are the same explanations that are featured in my "Guides to the Official Guide" PDF booklets. However, because of the limitations of HTML and cross-browser compatibility, some mathematical concepts, such as fractions and roots, do not display as clearly online.

Question: 9
Page: 273
Difficulty: 4 (Moderately Easy)
Category 1: Arithmetic > Ratio and Proportion >
Category 2: Word Problems > Other >

Explanation: To answer the question, we'll need to establish the relationship between how many Pat earned and how much he saved.

Statement (1) is sufficient. If Pat's earnings were x, he spent (1/2)x on living expenses, leaving a remainder of (1/2)x. If he saved (1/3) of that remainder, he saved (1/3)((1/2)x) = (1/6)x. Thus, (1/6)x = 600, so x = 3,600.

Statement (2) is insufficient. If he paid twice as much in taxes as he saved, he paid \$1200 in taxes, but we don't know how that amount relates to the amount he earned. Choice (A) is correct.

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