Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
GMAT Club

 It is currently 30 Mar 2017, 06:04

# Expecting:

R2 Admission Decisions from Wharton: Join Chat Room 3

### 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

# Bill has d animals, 12 of which were sold at a profit of 10%

Author Message
TAGS:

### Hide Tags

Manager
Joined: 25 Jun 2012
Posts: 65
Followers: 0

Kudos [?]: 54 [0], given: 21

Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

### Show Tags

01 Nov 2012, 22:59
6
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

72% (02:35) correct 28% (03:02) wrong based on 173 sessions

### HideShow timer Statistics

Bill has d animals, 12 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?

(A) 6
(B) 12
(C) 18
(D) 24
(E) 36
[Reveal] Spoiler: OA
Manager
Joined: 25 Jun 2012
Posts: 71
Location: India
WE: General Management (Energy and Utilities)
Followers: 4

Kudos [?]: 111 [2] , given: 15

Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

### Show Tags

01 Nov 2012, 23:15
2
KUDOS
total d animals, suppose each has price of x - total price = dx

now 12 were sold at profit of 10%, making equation - - 12*1.1x
now d-12 were sold at loss of 20%, making eqn --- (d-12)*0.8x

Now he made no profit or loss so,

dx = 12*1.1x + (d-12)*0.8x

solving for d, we get d=18

Ans C
Manager
Joined: 25 Jun 2012
Posts: 71
Location: India
WE: General Management (Energy and Utilities)
Followers: 4

Kudos [?]: 111 [2] , given: 15

Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

### Show Tags

01 Nov 2012, 23:21
2
KUDOS
Again if we go by eliminating the option method,

ans A and B are out as they are value less then or eul to 12.
Ans d = 12 sold at 10% profit while 12 sold at 20% loss , so here Loss will come which is contradicted to question stem..
Ans e = 12 sold at 10% profit while 24 sold at 20% los, so here also Loss will come which is contradicted to question stem..

only option C = 18 balances eqn ---> 12 at Profit and 6 at loss.
Manager
Joined: 31 May 2015
Posts: 54
Followers: 1

Kudos [?]: 18 [1] , given: 98

Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

### Show Tags

21 Mar 2016, 07:12
1
KUDOS
20 % loss is twice 10 % profit thus we need twice the amount of sells to make up for the loss 1:2 or 6:12.
_________________

GMAT loosers are born not made !!!

BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 1948
Followers: 61

Kudos [?]: 460 [1] , given: 488

Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

### Show Tags

13 Apr 2016, 09:02
1
KUDOS
How can Someone Assume that All the animals had the same initial price EMPOWERgmatRichC ?????????????//?????///??
_________________

Give me a hell yeah ...!!!!!

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 8778
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 413

Kudos [?]: 2666 [1] , given: 168

Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

### Show Tags

13 Apr 2016, 18:39
1
KUDOS
Expert's post
Hi stonecold,

You bring up a good point. Whoever wrote this question did NOT do as good a job with defining the 'restrictions' of the prompt as the GMAT question writers do. The 'intent' of the question is to assume that all of the animals were purchased at the same price - you cannot answer it otherwise (and if a question such as this one were to appear on your Official GMAT, the prompt would include that information).

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

Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

# Special Offer: Save $75 + GMAT Club Tests 60-point improvement guarantee www.empowergmat.com/ ***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*********************** Manager Joined: 25 Jun 2012 Posts: 65 Followers: 0 Kudos [?]: 54 [0], given: 21 Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink] ### Show Tags 02 Nov 2012, 12:33 bhavinshah5685 wrote: Again if we go by eliminating the option method, ans A and B are out as they are value less then or eul to 12. Ans d = 12 sold at 10% profit while 12 sold at 20% loss , so here Loss will come which is contradicted to question stem.. Ans e = 12 sold at 10% profit while 24 sold at 20% los, so here also Loss will come which is contradicted to question stem.. only option C = 18 balances eqn ---> 12 at Profit and 6 at loss. nice elimination technique, it's realy worth Kudos GMAT Club Legend Joined: 09 Sep 2013 Posts: 14568 Followers: 609 Kudos [?]: 175 [0], given: 0 Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink] ### Show Tags 13 Feb 2015, 12:27 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. _________________ EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 8778 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Followers: 413 Kudos [?]: 2666 [0], given: 168 Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink] ### Show Tags 13 Feb 2015, 13:12 Hi All, Since this question asks for the TOTAL number of animals, and the answers are numbers, this is a perfect opportunity to TEST THE ANSWERS. We're told a few Facts about a group of animals: 1) There are D total animals 2) 12 of them are sold at a 10% profit 3) The rest are sold at a 20% loss 4) The profits and losses "cancel out" We're asked to solve for D. Since 12 animals were sold for a profit, while the rest were sold for a loss, the total number of animals MUST be MORE than 12. Eliminate A and B. Since we need the profits and losses to cancel out, we're likely looking for a situation in which there were FEWER animals sold for a loss than were sold for a profit (since each individual 'loss' is so much bigger than each individual 'profit'). Let's TEST Answer C.... IF there were 18 animals, 12 were sold for a profit and 6 were sold for a loss. IF....each animal costs$100
The 12 that were sold for a 10% profit --> $110 each ---> 12($10 profit each) = $120 profit The 6 that were sold for a 20% loss --->$80 each --->6($20 loss each) =$120 loss

Here, the profits and losses cancel out, so C MUST be the answer.

[Reveal] Spoiler:
C

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

Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

# Special Offer: Save \$75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

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

Math Forum Moderator
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 2563
Location: India
GPA: 3.5
Followers: 99

Kudos [?]: 767 [0], given: 323

Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

### Show Tags

13 Apr 2016, 11:40
stonecold wrote:
How can Someone Assume that All the animals had the same initial price EMPOWERgmatRichC ?????????????//?????///??

Just in tune with EMPOWERgmatRichC s reasoning , but using alligation theory

Attachment:

Capture.PNG [ 6.68 KiB | Viewed 656 times ]

Further austin bro , we are told to find the

Quote:
Bill has d animals, 12 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each.Overall, Bill made neither a profit nor a loss.

If you do not take the base ( Cost Price same ) it will be difficult to reach the overall profit/loss situation....

PS : However I accept your arguement that the price of the animals may be different , but for simplicity's sake ( coz we are only interested in the overall profit / loss) we can safely assume Cost Price as 100

PPS : If you consider the price of the items different ,

Say Price of 12 animals is 100 and price of D - 12 animals be 200 you can reach the conclusion but it will be very very lengthy and complicated process.

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Intern
Joined: 24 Jan 2016
Posts: 18
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

### Show Tags

14 Nov 2016, 09:19
Lets consider the original cost to be C=100.
1- 10% profit ⇒ Selling S1=110
2- 20% loss ⇒ Selling S2=80
12 were sold at a profit of 10% ⇒ 12x110=12x100 (cost) + 12x10(profit) ⇒ For bill to make neither a profit nor a loss, he can loose no more than 12x10=120. From --2-- bill is loosing 20 dollars per animal ⇒ he can loose 6 animals for a total loss of 6x20=120 ⇒ total number of animals=12+6=18
Re: Bill has d animals, 12 of which were sold at a profit of 10%   [#permalink] 14 Nov 2016, 09:19
Similar topics Replies Last post
Similar
Topics:
In 1998 the profits of company N were 10 percent of revenues. In 1999, 2 12 Dec 2015, 09:29
1 Bill made a profit of 10% by selling a product. If he had purchased 2 19 Aug 2015, 02:42
4 In 2008, the profits of Company N were 10 percent of revenues. In 2009 8 06 May 2015, 03:41
5 At a garage sale, all of the prices of the items sold were d 6 05 Feb 2014, 02:31
91 Bill has a small deck of 12 playing cards 40 18 Jun 2010, 22:47
Display posts from previous: Sort by