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## Official Guide Explanation:

Problem Solving #127

**Background**

This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Quantitative Review (2nd 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.

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**Solution and Metadata**

**Question****: 127**

Page: 78

Difficulty: **5** (Moderate)

Category 1: Word Problems > Other >

Category 2: Arithmetic > Percents > other

**Explanation:** Algebraically, the commission - based salary is expressed as 10,000 + (0.2)s. If the commission - based salary is to be equal to the annual salary of $35,000, set the two salaries equal to each other:

10,000 + (0.2)s = 35,000

((1/5))s = 25,000

s = 25,000(5) = 125,000, choice (C).

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