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## Official Guide Explanation:Problem Solving #133

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: 133
Page: 171
Difficulty: 4 (Moderately Easy)
Category 1: Arithmetic > Powers and Roots of Numbers > Powers
Category 2: Algebra > Exponents >

Explanation: Per capita expenditure is a fancy way of saying "expenditure per person," so we know we're working with a fraction. 240 million is the same as 240 * 106, or, more useful given that expenditure is 1.2 times something, 2.4 * 108. Now, we can create a fraction for expenditure per person: ((1.2 * 1012)/(2.4 * 108)) = ((104)/2) = (10000/2) = 5,000, choice (E).

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