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## Official Guide Explanation:

Data Sufficiency #50

**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****: 50**

Page: 156

Difficulty: **5** (Moderate)

Category 1: Algebra > Linear Equations-Two Unk >

Category 2: Arithmetic > Percents > other

**Explanation:** Given the total price of the stock, to determine the price per share, you need the number of shares. In other words, p = ((12,000)/(n)). Statement (1) is sufficient: it provides another equation with the same two variables, p + 1 = ((12,000 + 300)/(n)). Given those two equations with the same two variables, you could solve for p.

Statement (2) is also sufficient; again, you can set up another equation with p and n: p - 2 = ((12,000 - (0.05)12,000)/(n)). With two linear equations and two variables, you can solve for p. Choice (D) is correct.

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