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## Official Guide Explanation:Data Sufficiency #63

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: 63
Page: 278
Difficulty: 4 (Moderately Easy)
Category 1: Word Problems > Discount >
Category 2: Arithmetic > Percents > other

Explanation: Call store L's price x and M's price y. Each price is discounted, so each of those prices are reduced by some unknown amount.

Statement (1) is insufficient. M's discount is greater, but without knowing the original prices, we don't know which discount price is less. If both original prices are the same, M's discount price is less. If L's original price is substantially less than M's, L's discount price is less.

Statement (2) is also insufficient. Again, we don't know the original prices. If the original prices are the same, M's discount price is less, but if M's original price is much higher, L's discount price is less.

Taken together, the statements are sufficient. Given each store's discount in terms of both dollars and percentages, we can calculate the original prices. For instance, L's discount is 10 percent of the original price, which is \$5. Thus, L's original price is \$50 and its discount price is \$45. By the same reasoning, M's original price is \$40 and it's discount price is \$34. Choice (C) is correct.

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