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02 Nov 2009, 04:03
2
This post was
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Difficulty:

95% (hard)

Question Stats:

43% (02:24) correct 57% (02:38) wrong based on 78 sessions

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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, 08:40, 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: 11

Kudos [?]: 161 [3] , given: 3

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02 Nov 2009, 10:28
3
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

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26 Sep 2013, 08:41
1
KUDOS
Expert's post
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.

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, 08:41 Similar topics Replies Last post Similar Topics: 1 In a certain furniture store, each week Nancy earns a salary of$240 p 5 25 Jun 2015, 04:23
2 A salesperson for an automobile dealer earns an annual salary of $25,0 7 09 Oct 2013, 14:50 31 As a bicycle salesperson, Norman earns a fixed salary of$20 22 17 Mar 2011, 06:39
Norman and his bicycles 4 05 Jul 2009, 14:42