It is currently 21 Jan 2018, 12:15

Close

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A marketer bought N crates of empty cardboard gift boxes. Each crate

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139702 [0], given: 12794

A marketer bought N crates of empty cardboard gift boxes. Each crate [#permalink]

Show Tags

New post 18 Feb 2015, 03:26
Expert's post
7
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

60% (02:51) correct 40% (02:40) wrong based on 98 sessions

HideShow timer Statistics

A marketer bought N crates of empty cardboard gift boxes. Each crate held Q individual gift boxes, and the lot of N crates was purchases at a wholesale price of W dollars. This marketer will sell collections of J cardboard gift boxes to retailers, at a price of P dollars for each collection. (Note: J is a divisor of Q.) The marketer knows that, when he has sold all the cardboard gift boxes this way, he wants to net a total profit of Z dollars on the entire transaction. What price P must he charge, to net this profit? Express P in terms of N, Q, W, J, and Z.


A. J(Z - W)/(NQ)
B. J(Z + W)/(NQ)
C. Q(Z - W)/(NJ)
D. Q(Z + W)/(NJ)
E. N(Z - W)/(QJ)

Kudos for a correct solution.
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 139702 [0], given: 12794

Expert Post
1 KUDOS received
SVP
SVP
User avatar
G
Joined: 08 Jul 2010
Posts: 1914

Kudos [?]: 2479 [1], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: A marketer bought N crates of empty cardboard gift boxes. Each crate [#permalink]

Show Tags

New post 18 Feb 2015, 05:40
1
This post received
KUDOS
Expert's post
Bunuel wrote:
A marketer bought N crates of empty cardboard gift boxes. Each crate held Q individual gift boxes, and the lot of N crates was purchases at a wholesale price of W dollars. This marketer will sell collections of J cardboard gift boxes to retailers, at a price of P dollars for each collection. (Note: J is a divisor of Q.) The marketer knows that, when he has sold all the cardboard gift boxes this way, he wants to net a total profit of Z dollars on the entire transaction. What price P must he charge, to net this profit? Express P in terms of N, Q, W, J, and Z.


A. J(Z - W)/(NQ)
B. J(Z + W)/(NQ)
C. Q(Z - W)/(NJ)
D. Q(Z + W)/(NJ)
E. N(Z - W)/(QJ)


The marketer initially paid W= cost.

There are Q boxes in each crate, and J boxes make a collection,

so there are Q/J collections in each crate, and NQ/J collections in total.

If he charges a price P, his revenue would be PNQ/J.

Now, profit = revenue - cost,

so Z = PNQ/J – W

i.e. P = (Z+W)J / NQ

Answer: Option
[Reveal] Spoiler:
B

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Kudos [?]: 2479 [1], given: 51

1 KUDOS received
Manager
Manager
User avatar
Joined: 18 Aug 2014
Posts: 129

Kudos [?]: 80 [1], given: 36

Location: Hong Kong
Schools: Mannheim
A marketer bought N crates of empty cardboard gift boxes. Each crate [#permalink]

Show Tags

New post 18 Feb 2015, 10:23
1
This post received
KUDOS
Bunuel wrote:
A marketer bought N crates of empty cardboard gift boxes. Each crate held Q individual gift boxes, and the lot of N crates was purchases at a wholesale price of W dollars. This marketer will sell collections of J cardboard gift boxes to retailers, at a price of P dollars for each collection. (Note: J is a divisor of Q.) The marketer knows that, when he has sold all the cardboard gift boxes this way, he wants to net a total profit of Z dollars on the entire transaction. What price P must he charge, to net this profit? Express P in terms of N, Q, W, J, and Z.


A. J(Z - W)/(NQ)
B. J(Z + W)/(NQ)
C. Q(Z - W)/(NJ)
D. Q(Z + W)/(NJ)
E. N(Z - W)/(QJ)

Kudos for a correct solution.


J (W) / (NQ) should be price to break even.
Add Z and it should be price to net the profit

-->
Option B should be price to net the profit.

Answer is B

Kudos [?]: 80 [1], given: 36

1 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1844

Kudos [?]: 2867 [1], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A marketer bought N crates of empty cardboard gift boxes. Each crate [#permalink]

Show Tags

New post 18 Feb 2015, 20:19
1
This post received
KUDOS
Answer = B. J(Z + W)/(NQ)

Total Profit = Z

Total cost price = w

Total boxes = nq

Selling price per box \(=\frac{p}{j}\)

Total selling price \(= \frac{p}{j} * nq\)

Setting up the profit equation

\(z = \frac{pnq}{j} - w\)

\(p = \frac{z+w}{nq} * j\)
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2867 [1], given: 193

Expert Post
1 KUDOS received
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10726

Kudos [?]: 3780 [1], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: A marketer bought N crates of empty cardboard gift boxes. Each crate [#permalink]

Show Tags

New post 18 Feb 2015, 21:05
1
This post received
KUDOS
Expert's post
Hi All,

This question is wordy and loaded with variables, but it can be solved by TESTing VALUES. There are some fantastic 'shortcuts' in the the answer choices as well.

We're told that there are N crates and that each crate holds Q gift boxes.

N = 3 crates
Q = 4 gift boxes/crate
(3)(4) = 12 total gift boxes

We're told that all of the crates were purchased for a total of W dollars

W = 12
12 gift boxes for 12 dollars

The seller will sell J gift boxes per 'collection' at a price of P dollars per 'collection' (we're told that J is DIVISOR of Q)

J = 2 gift boxes per 'collection'
12/2 = 6 'collections available

P = 3 dollars per 'collection'
(6)(3) = $18 in revenue after ALL collections|gift boxes are sold

Total profit is Z dollars
$18 in revenue
$12 cost
$18 - $12 = $6 = Z

We're asked for the value of P, using the other variables....

N = 3
Q = 4
W = 12
J = 2
Z = 6

We're looking for an answer that equals 3.

Now, before jumping into the answer choices, notice all of the PATTERNS that exist:
1) Answers A and B are almost exactly the same.
2) Answers C and D are almost exactly the same.
3) Each parentheses is either (Z+W) or (Z-W)

You can use the patterns to avoid doing the same calculation over and over. Let's start with Answers A and B:

A= 2(-6)/12 = -1 NOT a match
B= 2(18)/12 = 3 This IS a match

Now, let's do C and D tougher (note that we ALREADY KNOW the values of Z+W and Z-W from our prior work):

C= 4(-6)/6 = -4 NOT a match
D= 4(18)/6 = 12 NOT a match

E= 3(-6)/8 = -18/8 NOT a match

Final Answer:
[Reveal] Spoiler:
B


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3780 [1], given: 173

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139702 [0], given: 12794

Re: A marketer bought N crates of empty cardboard gift boxes. Each crate [#permalink]

Show Tags

New post 22 Feb 2015, 11:14
Bunuel wrote:
A marketer bought N crates of empty cardboard gift boxes. Each crate held Q individual gift boxes, and the lot of N crates was purchases at a wholesale price of W dollars. This marketer will sell collections of J cardboard gift boxes to retailers, at a price of P dollars for each collection. (Note: J is a divisor of Q.) The marketer knows that, when he has sold all the cardboard gift boxes this way, he wants to net a total profit of Z dollars on the entire transaction. What price P must he charge, to net this profit? Express P in terms of N, Q, W, J, and Z.


A. J(Z - W)/(NQ)
B. J(Z + W)/(NQ)
C. Q(Z - W)/(NJ)
D. Q(Z + W)/(NJ)
E. N(Z - W)/(QJ)

Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION

Algebraic Solution: So, the marketer initially paid W: that was his outlay, his cost. There are Q boxes in each crate, and J boxes make a collection, so there are Q/J collections in each crate, and NQ/J collections in total. If he charges a price P, his revenue would be PNQ/J. Now, profit equals revenue minus cost, so Z = PNQ/J – W . Solve this for P
Attachment:
gpp-vitac_img7.png
gpp-vitac_img7.png [ 2.46 KiB | Viewed 1774 times ]


Numerical Solution: Here, we have several choices to make, and it would be a good idea to pick numbers that aren’t the same, or aren’t even divisible by each other if that’s not required. Picking some different prime numbers is good way eliminate more than one answer that comes out to the correct value.
I will say the price is 2, a nice round prime number. Let’s say J = 3, so Q must be a multiple of that — say Q = 30. Let’s N = 7. This means he has 10 collections from every box, and 70 collections from the total lot. If he charges $2 per collection, that’s a revenue of $140. Let’s say his outlay was W = $95; then his profit is Z = $45.
OK, that’s an unusual enough set of number that we expect no more than one solution will work. We will plug in N = 7, Q = 30, W = 95, J = 3, and Z = 45, and we hope to get an output of P = 2.
Attachment:
gpp-vitac_img8.png
gpp-vitac_img8.png [ 15.7 KiB | Viewed 1774 times ]

Thus, because we chose numbers well, the only possible answer is (B).

- See more at: http://magoosh.com/gmat/2014/gmat-pract ... QEkpA.dpuf
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 139702 [0], given: 12794

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14201

Kudos [?]: 291 [0], given: 0

Premium Member
Re: A marketer bought N crates of empty cardboard gift boxes. Each crate [#permalink]

Show Tags

New post 23 Sep 2017, 21:02
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 291 [0], given: 0

Re: A marketer bought N crates of empty cardboard gift boxes. Each crate   [#permalink] 23 Sep 2017, 21:02
Display posts from previous: Sort by

A marketer bought N crates of empty cardboard gift boxes. Each crate

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.