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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## A retailer orders u units of an item for which he pays d ##### This topic has 3 expert replies and 0 member replies ### Top Member ## A retailer orders u units of an item for which he pays d ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A retailer orders u units of an item for which he pays d dollars. However, he mistakenly receives u - 3 items. How much was he overcharged, in terms of d and u? A. 3d - u B. 3du - 9 C. (3d)/u D. (u-d)/3 E. (du)/3 ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12740 messages Followed by: 1247 members Upvotes: 5254 GMAT Score: 770 Top Reply BTGmoderatorDC wrote: A retailer orders u units of an item for which he pays d dollars. However, he mistakenly receives u - 3 items. How much was he overcharged, in terms of d and u? A. 3d - u B. 3du - 9 C. (3d)/u D. (u-d)/3 E. (du)/3 A retailer orders u units of an item for which he pays d dollars. So, EACH unit costs d/u dollars However, he mistakenly receives u - 3 items. In other words, he received 3 fewer units than he wanted So, he paid for 3 units that he never received (i.e., he was overcharged for 3 units) How much was he overcharged, in terms of d and u? He was overcharged for 3 units, and EACH unit costs d/u dollars TOTAL overcharge = (3)(d/u) = 3d/u Answer: C Cheers, Brent _________________ Brent Hanneson – Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2224 messages Followed by: 17 members Upvotes: 43 Top Reply BTGmoderatorDC wrote: A retailer orders u units of an item for which he pays d dollars. However, he mistakenly receives u - 3 items. How much was he overcharged, in terms of d and u? A. 3d - u B. 3du - 9 C. (3d)/u D. (u-d)/3 E. (du)/3 Since the price per unit is d/u, the cost of u - 3 units is d/u x (u - 3) = (ud - 3d)/u, so the retailer was overcharged by: d - (ud - 3d)/u ud/u - (ud - 3d)/u (ud - (ud - 3d))/u (ud - ud + 3d)/u (3d)/u Answer: C _________________ Scott Woodbury-Stewart Founder and CEO ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10109 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that a retailer orders U units of an item for which he paid a total of D dollars, but he mistakenly receives (U - 3) items. We're asked for the amount he was overcharged, in terms of D and U. This question can be solved in a couple of different ways, including by TESTing VALUES. IF... U=4 and D=8 then the original price per unit was$8/4 = $2 per unit By receiving (4-3) = 1 item and paying$8 for it, the retailer was overcharged $8 -$2 = $6 Thus, we're looking for an answer that equals 6 when U=4 and D=8. There's only one answer that matches.... Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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