It is currently 27 Jun 2017, 02:07

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

### Show Tags

02 Nov 2009, 04:03
3
This post was
BOOKMARKED
00:00

Difficulty:

85% (hard)

Question Stats:

46% (02:19) correct 54% (02:37) wrong based on 84 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, 08:40, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Manager
Joined: 25 Aug 2009
Posts: 168
Location: Streamwood IL
Schools: Kellogg(Evening),Booth (Evening)
WE 1: 5 Years

### Show Tags

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

### Show Tags

26 Sep 2013, 08:41
1
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.

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: A salesperson receives a base salary of$1000 per month and a commissi 1 14 Jun 2016, 04:22
2 The combined salaries of three brothers is $90,000. Mr. Big earns twic 6 26 Jun 2017, 06:13 2 A salesperson for an automobile dealer earns an annual salary of$25,0 7 22 Mar 2015, 06:49
47 As a bicycle salesperson, Norman earns a fixed salary of $20 24 11 Jul 2016, 22:59 3 As a bicycle salesperson, Norman earns a fixed salary of$20 5 26 Feb 2011, 12:24
Display posts from previous: Sort by