Last visit was: 26 Dec 2024, 06:01 It is currently 26 Dec 2024, 06:01
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

As a bicycle salesperson

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
phoenixio
Intern
Intern
Joined: 03 Jun 2016
Posts: 37
Own Kudos [?]: 136 [23]
Given Kudos: 0
Send PM
As a bicycle salesperson [#permalink] New post   25 Aug 2016, 02:59
6
1
16
Bookmarks
00:00

Question Stats:

59% (02:39) correct 40% (02:39) wrong based on 132 sessions

Hide Show timer Statistics

As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first three bicycles he sells, $12 per bicycle for the next three bicycles he sells, and $18 per bicycle for every bicycle sold after the first six. In Week 2, Norman earned more than twice as much as he did in Week 1. If he sold x bicycles in Week 1 and y bicycles in Week 2, which of the following statements must be true?

Indicate all that apply

A) x < 5
B) y > x
C) y > 3
ShowHide Answer
Official Answer
B,C
Most Helpful Community Reply
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12238 [8]
Given Kudos: 136
Send PM

Top Member of the Month
Re: As a bicycle salesperson [#permalink] New post   29 Aug 2016, 15:25
6
2
Bookmarks
phoenixio wrote:
As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first three bicycles he sells, $12 per bicycle for the next three bicycles he sells, and $18 per bicycle for every bicycle sold after the first six. In Week 2, Norman earned more than twice as much as he did in Week 1. If he sold x bicycles in Week 1 and y bicycles in Week 2, which of the following statements must be true? Indicate all that apply

A) x < 5
B) y > x
C) y > 3

Show: ::
B,C


I'd create a version of a "growth table" to show possible earnings.

Bikes sold: Earnings
0: $20
1: $26
2: $32
3: $38
4: $50
5: $62
6: $74
7: $92
8: $110
.
.
.
Now check the three statements:

A) x < 5
This need not be true.
Norman could have sold 6 bikes in the first week (x = 6) and then sold 1000 bikes in the second week (y = 1000)
ELIMINATE A

B) y > x
This must be true. If, in week 2, Norman earned more than twice as much as he did in Week 1, then he must have sold more bikes in the second week than in the first week.
So, y MUST be greater than x
B is TRUE

C) y > 3
Norman's minimum earnings is $20 (if he sells 0 bikes)
Even if Norman earns the minimal amount ($20) in week 1, he still must sell 4 or more bikes in week 2 in order to earn more than twice as much as he did in Week 1
So, y MUST be greater than 3
C is TRUE

Answer: B, C
General Discussion
avatar
Sonalika42
Manager
Manager
Joined: 12 Jan 2016
Posts: 142
Own Kudos [?]: 190 [0]
Given Kudos: 0
Send PM
Re: As a bicycle salesperson [#permalink] New post   25 Aug 2016, 22:13
hey its a good qs
it took me around 6 mins to solve this, is there an easier and quicker way to solve it.
avatar
phoenixio
Intern
Intern
Joined: 03 Jun 2016
Posts: 37
Own Kudos [?]: 136 [0]
Given Kudos: 0
Send PM
Re: As a bicycle salesperson [#permalink] New post   26 Aug 2016, 03:28
Since in second week, his earning is more than double than 1st week, therefore y>x
and then if we go by logic, if Norman sells less than 3 bikes in 1st week, his salary will be 20$, so in order to make more than double money in 2nd week, he needs to sell more than 3 bikes, i.e. y>3
Since no. of bikes he can sell in 2nd week is unlimited, no. of bikes he can sell in 1st week is also unlimited, x>5 making option 1 wrong.
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30507
Own Kudos [?]: 36864 [0]
Given Kudos: 26108
Send PM
Re: As a bicycle salesperson [#permalink] New post   01 Oct 2020, 01:17
Expert Reply
Bump for further discussion
avatar
akumar24
Intern
Intern
Joined: 25 Aug 2020
Posts: 9
Own Kudos [?]: 11 [3]
Given Kudos: 0
Send PM
Re: As a bicycle salesperson [#permalink] New post   07 Oct 2020, 17:55
3
This problem seems tricky but doesn't need a lot of calculations to begin with,
let's check out the answer choices,
A. x < 5 :: there is no limit to bicycles sold in the second week so x need not be less than 5 , note the question asks for statements must be, x need not be < 5

B. y > x ::obviously, if you're making more salary then more bikes has to sold because fixed salary is 20

C. y > 3 :: this is where we might need some calculation, Total Salary would be 20 + 3(6) = 38, now assuming he didn't sell any bikes in week1 his salary still would be 20 and 38 is < than twice week 1 so C has to be true.
avatar
B
Adewale
Intern
Intern
Joined: 04 Dec 2021
Posts: 28
Own Kudos [?]: 26 [1]
Given Kudos: 24
Send PM
Re: As a bicycle salesperson [#permalink] New post   25 Jul 2022, 08:02
1
For the first week
20+ 6(3) +12(3)+18 (X-6) = A

18X - 34 = A

So 2nd week will be

18X - 34 = 2A
Combining the two gives
18X - 9Y = 17
From this we can see that
Y is greater than X
Y is greater than 3
And X must be greater than 5.
Answer B and C.
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5091
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: As a bicycle salesperson [#permalink] New post   03 Apr 2024, 11:43
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: As a bicycle salesperson [#permalink]
03 Apr 2024, 11:43
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact