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Register now and save up to $200 Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code ## Stores L and M each sell a certain product tagged by: Brent@GMATPrepNow This topic has 4 expert replies and 0 member replies vikkimba17 Junior | Next Rank: 30 Posts Joined 05 Nov 2015 Posted: 16 messages #### Stores L and M each sell a certain product Mon Mar 20, 2017 5:12 am Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ? (1) At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price. (2) At Store L the discount price is$5 less than the
regular store price; at Store M the discount
price is $6 less than the regular price. ### GMAT/MBA Expert Scott@TargetTestPrep GMAT Instructor Joined 25 Apr 2015 Posted: 773 messages Followed by: 3 members Upvotes: 43 Thu Mar 23, 2017 3:28 pm vikkimba17 wrote: Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ? (1) At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price. (2) At Store L the discount price is$5 less than the
regular store price; at Store M the discount
price is $6 less than the regular price. We are given that Stores L and M sell a certain product at different regular prices. We are also given that both stores discount the regular price of the product. We must determine whether the discount price at Store M is less than the discount price at Store L. Statement One Alone: At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price. Even though we know the percentage discount at each store, without actually knowing the regular price of the product at each store, we canâ€™t determine the discount price of the product in each store. Thus, we canâ€™t compare their discount prices. Statement one alone is not sufficient to answer the question. Statement Two Alone: At Store L the discount price is$5 less than the regular store price; at Store M the discount price is $6 less than the regular price. Even though we know the amount of discount at each store, without actually knowing the regular price of the product at each store, we still canâ€™t determine the discount price of the product in each store. Thus, we canâ€™t compare their discount prices. Statement two alone is not sufficient to answer the question. Statements One and Two Together: From statements one and two we have the following information: a) At Store L the percent discount is 10% and the amount of discount is$5.

b) At Store M the percent discount is 15% and the amount of discount is $6. If we let p = the regular price of the product at Store L and q = the regular price of the product at Store M,then: a) 0.10p = 5 b) 0.15q = 6 Thus, p = 5/0.10 =$50 and q = 6/0.15 = $40. Furthermore, the discount price of the product at Store L is 50 - 5 =$45 and the discount price of the same product at Store M is 40 - 6 = $34. Thus, we know that the discount price at Store M is less than the discount price at Store L. Answer: C _________________ Scott Woodbury-Stewart Founder and CEO ### GMAT/MBA Expert Brent@GMATPrepNow GMAT Instructor Joined 08 Dec 2008 Posted: 11276 messages Followed by: 1225 members Upvotes: 5254 GMAT Score: 770 Mon Mar 20, 2017 7:52 am vikkimba17 wrote: Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ? (1) At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price. (2) At Store L the discount price is$5 less than the regular store price; at Store M the discount price is $6 less than the regular price. Target question: Is the DISCOUNT price at Store M less than the DISCOUNT price at Store L ? Statement 1: At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price. We don't know the REGULAR PRICES at each store, so we can't determine the DISCOUNTED PRICES. For example, consider these two conflicting cases: Case a: REGULAR price at store L =$10, and REGULAR price at store M = $100. So, the DISCOUNT price at store L =$9, and the DISCOUNT price at store M = $85. In this case, the DISCOUNT price at store L is LESS THAN the DISCOUNT price at store M Case b: REGULAR price at store L =$100, and REGULAR price at store M = $10. So, the DISCOUNT price at store L =$90, and the DISCOUNT price at store M = $8.50. In this case, the DISCOUNT price at store L is GREATER THAN the DISCOUNT price at store M Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: At Store L the discount price is$5 less than the regular store price; at Store M the discount price is $6 less than the regular price Once again, since we don't know the REGULAR PRICES at each store, we can't determine the DISCOUNTED PRICES. For example, consider these two conflicting cases: Case a: REGULAR price at store L =$7, and REGULAR price at store M = $10. So, the DISCOUNT price at store L =$2, and the DISCOUNT price at store M = $4. In this case, the DISCOUNT price at store L is LESS THAN the DISCOUNT price at store M Case b: REGULAR price at store L =$100, and REGULAR price at store M = $10. So, the DISCOUNT price at store L =$95, and the DISCOUNT price at store M = $4. In this case, the DISCOUNT price at store L is GREATER THAN the DISCOUNT price at store M Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT Statements 1 and 2 combined At this point, we should recognize that we can use both statements to determine the regular prices at each store, which means we also can determine the discount prices at each store. So, we can answer the target question with certainty (without actually performing the calculation) Answer: C ASIDE: for "fun" let's actually perform the necessary calculations. Combining the statement, we know that, at store L, a 10% discount is equal to$5
In other words, 10% of the regular price = $5 Or, we can write: (0.1)(regular price) =$5
So, the regular price = $50, which means the DISCOUNT price at store L =$45

Likewise, at store M, a 15% discount is equal to $6 In other words, 15% of the regular price =$6
Or, we can write: (0.15)(regular price) = $6 So, the regular price =$40, which means the DISCOUNT price at store M = $34 At this point, we can see that the DISCOUNT price at store L is GREATER THAN the DISCOUNT price at store M Since we can answer the target question with certainty, the combined statements are SUFFICIENT Answer: C Cheers, Brent _________________ Brent Hanneson â€“ Founder of GMATPrepNow.com Use our video course along with Check out the online reviews of our course Come see all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMATGuruNY GMAT Instructor Joined 25 May 2010 Posted: 13901 messages Followed by: 1808 members Upvotes: 13060 GMAT Score: 790 Mon Mar 20, 2017 5:22 am _________________ Mitch Hunt GMAT Private Tutor GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert Jay@ManhattanReview GMAT Instructor Joined 22 Aug 2016 Posted: 976 messages Followed by: 20 members Upvotes: 470 Mon Mar 20, 2017 7:14 am vikkimba17 wrote: Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ? (1) At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price. (2) At Store L the discount price is$5 less than the
regular store price; at Store M the discount
price is $6 less than the regular price. Hi vikkimba17, We need to compare the discounted prices at stores L and M. Let's take each statement one by one. S1: At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price. Say the regular price at store L =$x and the regular price at store M = $y The discounted price at store L =$90% of x = 0.9x

The discounted price at store M = $85% of y = 0.85y Since we do not have the value of x and y, we cannot compare. 0.9x can be equal to, less than, or more than 0.85y. Not sufficient. S2: At Store L the discount price is$5 less than the regular store price; at Store M the discount price is $6 less than the regular price. Discounted price at store L = x - 5 Discounted price at store M = y - 6 We do not have the values of x and y to compare. S1 and S2: From S1 and S2, we get 0.90x = x - 5 => x = 50 => Discounted price at store L =$45

0.85y = y - 6 => y = 40 => Discounted price at store M = $42 So, the discounted price at store M =$42 is less than the discounted price at store L = \$45. The answer is YES. A unique answer.

Hope this helps!

Relevant book: Manhattan Review GMAT Data Sufficiency Guide

-Jay
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