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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 man sold an article at k percent profit after tagged by: VJesus12 ##### This topic has 1 expert reply and 0 member replies ## A man sold an article at k percent profit after A man sold an article at k percent profit after offering k percent discount on the listed price. Had he sold the article at (k+15) percent discount on the listed price, his profit would have been (k-20) percent. What would have been his percent profit had he sold the article without offering any discount? A) 5% B) 10% C) 25% D) 33% E) 38% The OA is the option D. Experts, I am a little confused here. May you help me, please? I would be thankful. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 14940 messages Followed by: 1855 members Upvotes: 13060 GMAT Score: 790 Top Reply VJesus12 wrote: A man sold an article at k percent profit after offering k percent discount on the listed price. Had he sold the article at (k+15) percent discount on the listed price, his profit would have been (k-20) percent. What would have been his percent profit had he sold the article without offering any discount? A) 5% B) 10% C) 25% D) 33% E) 38% Let: L = the list price. C = the cost price. x = the difference between the two reduced prices. Discount = percentage of the LIST price. Since x increases the discount by 15% -- from k to k+15 -- x must be equal to 15% of the LIST price: x = (15/100)L. Profit = percentage of the COST price. Since x decreases the profit by 20% -- from k to k-20 -- x must be equal to 20% of the COST price: x = (20/100)C. Since the expressions in blue both represent the value of x, they must be equal: (15/100)L = (20/100)C 15L = 20C 3L = 4C L = (4/3)C. The resulting equation indicates that the list price is 1/3 greater than the cost price, implying that the regular profit is 1/3 of the cost price: Profit = (1/3)C = 33.33%. The correct answer is D. _________________ Mitch Hunt Private Tutor for the GMAT and GRE 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. Student Review #1 Student Review #2 Student Review #3 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. • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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