As a bicycle salesperson, Norman earns a fixed salary of $20 : GMAT Problem Solving (PS) Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack  It is currently 16 Jan 2017, 04:05 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customized for You we will pick new questions that match your level based on your Timer History Track Your Progress every week, we’ll send you an estimated GMAT score based on your performance Practice Pays we will pick new questions that match your level based on your Timer History #### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # Events & Promotions ###### Events & Promotions in June Open Detailed Calendar # As a bicycle salesperson, Norman earns a fixed salary of$20

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As a bicycle salesperson, Norman earns a fixed salary of $20 [#permalink] ### Show Tags 02 Nov 2009, 03:03 3 This post was BOOKMARKED 00:00 Difficulty: 95% (hard) Question Stats: 45% (02:24) correct 55% (02:37) wrong based on 82 sessions ### HideShow timer Statistics As a bicycle salesperson, Norman earns a fixed salary of$20 per week plus $6 per bicycle for the first six bicycles he sells,$12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y > 2x II. y > x III. y > 3 A. I only B. II only C. I and II D. II and III E. I, II, and III OPEN DISCUSSION OF THIS QUESTION IS HERE: as-a-bicycle-salesperson-norman-earns-a-fixed-salary-of-111038.html [Reveal] Spoiler: OA Last edited by Bunuel on 26 Sep 2013, 07:40, edited 1 time in total. Renamed the topic, edited the question and added the OA. Manager Joined: 25 Aug 2009 Posts: 175 Location: Streamwood IL Schools: Kellogg(Evening),Booth (Evening) WE 1: 5 Years Followers: 12 Kudos [?]: 176 [3] , given: 3 Re: Bicycles [#permalink] ### Show Tags 02 Nov 2009, 09:28 3 This post received KUDOS This is kind of like doing your taxes, lets summarize the data in terms of bike sales and salary - 0 Bikes -$20
6 Bikes - $56 12 Bikes -$128
More than 12 bikes - 128 + 18*(x-12) where x is the total number of bikes sold (when x>12).

X = cycles sold last week
XS = Salary last week.
Y = cycles sole this week
YS = Salary this week.

given YS>2XS

lets test all statements with X=0;
XS = 20
YS >40
True when Y = 4
satisfies all the statements but we can only be sure of iii as Y will only increase from here. So iii must be true. Eliminate A,B,C

lets test all statements with X=1;
XS = 26
YS>52
True when Y=6
Still satisfies all the statements - Nothing achieved

lets test all statements with X=6;
XS = 56
YS>112
True when Y = 11
This proves statement i wrong, hence eliminate E so we are left with

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26 Sep 2013, 07:38
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Re: As a bicycle salesperson, Norman earns a fixed salary of $20 [#permalink] ### Show Tags 26 Sep 2013, 07:41 1 This post received KUDOS Expert's post 1 This post was BOOKMARKED As a bicycle salesperson, Norman earns a fixed salary of$20 per week plus $6 per bicycle for the first 6 bicycles he sells,$12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y>2x II. y>x III. y>3 A. I only B. II only C. I and II D. II and III E. I, II, III II and III are obviously always true: II. y>x --> since this week, Norman earned more than he did last week and the total salary is in direct relationship with the # of bicycle sold, then y (# of bicycle sold this week) must be more than x (# of bicycle sold last week); III. y>3 --> if Norman sold 3 bicycles this week then this week he earned 20+3*6=$38, which cannot be more than twice as much as he earned the last week, since the minimum salary is fixed to $20. So y must be more than 3; I. y>2x --> if y=12 and x= 6 then this week Norman earned 20+6*6+6*12=$128, and the last week he earned 20+6*6=$56.$128 is more than twice as much as $56, so the condition in the stem holds but y=2x, which means that III is not always true. Answer: D. OPEN DISCUSSION OF THIS QUESTION IS HERE: as-a-bicycle-salesperson-norman-earns-a-fixed-salary-of-111038.html _________________ Re: As a bicycle salesperson, Norman earns a fixed salary of$20   [#permalink] 26 Sep 2013, 07:41
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