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

 It is currently 29 May 2017, 00:12

### 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

# PS: sets with sales representatives

Author Message
Senior Manager
Joined: 22 Sep 2005
Posts: 276
Followers: 1

Kudos [?]: 208 [0], given: 1

PS: sets with sales representatives [#permalink]

### Show Tags

02 Aug 2009, 20:27
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

100% (06:04) correct 0% (00:00) wrong based on 3 sessions

### HideShow timer Statistics

I do not know how to solve this problem so I need help.

On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?

A) 11
B) 18
C) 36
D) 45
E) 51
Senior Manager
Joined: 08 Jan 2009
Posts: 326
Followers: 2

Kudos [?]: 159 [0], given: 5

Re: PS: sets with sales representatives [#permalink]

### Show Tags

02 Aug 2009, 20:53
xyz = 60 * .3 = 18
ABC = 42

xyz = .55 * 60 = 33
ABC = .45 * 60 = 27

xyz only 18 accomadations is possible.
the answer is = 33 - 18 = 15.

I am not able to find it among the choices.
Senior Manager
Joined: 20 Mar 2008
Posts: 452
Followers: 1

Kudos [?]: 123 [0], given: 5

Re: PS: sets with sales representatives [#permalink]

### Show Tags

02 Aug 2009, 20:57
I can't figure this out: I'm getting 15 as my answer, which is not one of the choices.

25% of the 60 people is the max number who might not get their first preference, which comes to 15.
Manager
Joined: 19 Jun 2009
Posts: 141
Location: India
Concentration: Strategy, General Management
GMAT 1: 650 Q51 V27
GMAT 2: 710 Q48 V39
GPA: 3.2
WE: Engineering (Computer Hardware)
Followers: 6

Kudos [?]: 18 [0], given: 21

Re: PS: sets with sales representatives [#permalink]

### Show Tags

02 Aug 2009, 22:31
Allocation :
XYZ = 18.
ABC = 42.

Preference :
XYZ = 33.
ABC = 27.

Now, we have to maximise the number of people who have got not-preferred accommodation. So consider worst condition.

All 33 who prefer in XYZ are given accommodation in ABC(42). So, all 18 allocation of XYZ are not preferred type.

And, out of 27 who prefer ABC, 18 are given accommodation in XYZ(18).

So total = 18+18 = 36.
_________________

I am ready to fall, but not before I fly.

Senior Manager
Affiliations: ACA, CPA
Joined: 26 Apr 2009
Posts: 434
Location: Vagabond
Schools: BC
WE 1: Big4, Audit
WE 2: Banking
Followers: 5

Kudos [?]: 91 [0], given: 41

Re: PS: sets with sales representatives [#permalink]

### Show Tags

03 Aug 2009, 05:07
This is the way i solved it.

Taking it up from the previous poster

Allocation given :
XYZ = 18.
ABC = 42.
Preference wanted :
XYZ = 33.
ABC = 27.
So we force all the people who wanted XYZ into taking ABC ---> 42
Left space in ABC --- 42-33 = 9
Disappointed XYZ people ---- 33 (all)

Then we force all the people in ABC into taking XYZ ----> 18 (capped out)
Left space in XYZ --- NIL
Disappointed ABC people --- 18
So now we can give the rest 9 to what they want.

So total disappointed people = 33+18 = 51
Ans E

what is OA
_________________

If you have made mistakes, there is always another chance for you. You may have a fresh start any moment you choose, for this thing we call "failure" is not the falling down, but the staying down.

Manager
Joined: 19 Jun 2009
Posts: 141
Location: India
Concentration: Strategy, General Management
GMAT 1: 650 Q51 V27
GMAT 2: 710 Q48 V39
GPA: 3.2
WE: Engineering (Computer Hardware)
Followers: 6

Kudos [?]: 18 [0], given: 21

Re: PS: sets with sales representatives [#permalink]

### Show Tags

03 Aug 2009, 05:17
alpeshvc wrote:
Allocation :
XYZ = 18.
ABC = 42.

Preference :
XYZ = 33.
ABC = 27.

Now, we have to maximise the number of people who have got not-preferred accommodation. So consider worst condition.

All 33 who prefer in XYZ are given accommodation in ABC(42). So, all 18 allocation of XYZ are not preferred type.

And, out of 27 who prefer ABC, 18 are given accommodation in XYZ(18).

So total = 18+18 = 36.

Err.... I have done a mistake. In first case when we put 33 who prefer in XYZ in (42). I considered 18 unsatisfied. It should be 33.

33+18 = 51. Snipertrader is right.
_________________

I am ready to fall, but not before I fly.

Senior Manager
Joined: 22 Sep 2005
Posts: 276
Followers: 1

Kudos [?]: 208 [0], given: 1

Re: PS: sets with sales representatives [#permalink]

### Show Tags

04 Aug 2009, 10:27
The OA is E, but i do not understand the second step: Where does the 9 come from??
Senior Manager
Joined: 17 Jul 2009
Posts: 289
Concentration: Nonprofit, Strategy
GPA: 3.42
WE: Engineering (Computer Hardware)
Followers: 1

Kudos [?]: 41 [0], given: 9

Re: PS: sets with sales representatives [#permalink]

### Show Tags

04 Aug 2009, 12:57
Not getting their perference...

70% can stay in ABC while 45 % wants to stay here 30% gets to stay in XYZ while 55% wants to stay

so whats the least amount of people that can get satisfied? move all 55% who wants to stay in XYZ to ABC, while 30% in XYZ are all who wanted to go to ABCs, so we have 15% left that gets their preference to go to ABC, in the end, 85% of 60 people (51 people) doesn't get their preference.
Manager
Joined: 18 Jul 2009
Posts: 169
Location: India
Schools: South Asian B-schools
Followers: 2

Kudos [?]: 105 [0], given: 37

Re: PS: sets with sales representatives [#permalink]

### Show Tags

07 Aug 2009, 03:18
ANS is 51

Quote:
one suggestion plz solve this question in percentages only dont convert 30% of 60 or 45% of 60....it will not add any value rather eat lot of time for no reason.......

consider a case when all 30% of ppl staying in hotel XYZ are unhappy....
this gives us 30% from 45% are staying in XYZ..leaving 15% happy ppl in ABC but that also means 70%-15% = 55% are unhappy in hotal ABC

This means 30% of XYZ + 55% of ABc are unhappy ppl = 85% of 60 = 51
_________________

Bhushan S.
If you like my post....Consider it for Kudos

SVP
Joined: 05 Jul 2006
Posts: 1747
Followers: 6

Kudos [?]: 358 [0], given: 49

Re: PS: sets with sales representatives [#permalink]

### Show Tags

08 Aug 2009, 00:59
netcaesar wrote:
I do not know how to solve this problem so I need help.

On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?

A) 11
B) 18
C) 36
D) 45
E) 51

xyz = 18, abc = 42

preference: xyz = 33, abc = 27 ( start by allocating the vice versa - abc preference into the xyz hotel)

42 places in abc hotel fill them with xyz preferecne 33 ( unsatisfied customers), we would be left with extra 9 places in abc hotel that we would fill from the abc preference of 27 and we would have 18 to move to the xyz hotel( another patch of unsatisfied customers)

total unsatisfied customers = 18+33 = 51
Manager
Joined: 09 Aug 2009
Posts: 52
Followers: 1

Kudos [?]: 8 [0], given: 1

Re: PS: sets with sales representatives [#permalink]

### Show Tags

09 Aug 2009, 01:18
55% liked to stay at XYZ and remaining 45% at ABC.
1)Worst case condition when all 55% liked to stay at xyz are force to stay in ABC and the capacity left out in ABC is (70-55)%=15%
2)Now out of 45% liked to stay in ABC max only 15% can stay, so the remainig 30% has to stay in XYZ
totally 55%+30% sales representatives NOT given accommodations at the hotel they prefer, which is 85% of 60 = 51

/Prabu
Intern
Joined: 27 Sep 2009
Posts: 41
Followers: 0

Kudos [?]: 85 [0], given: 4

### Show Tags

26 May 2010, 16:31

On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?

A)11

B)18

C)36

D)51

E)23
Intern
Joined: 05 May 2010
Posts: 38
Followers: 0

Kudos [?]: 16 [0], given: 21

### Show Tags

26 May 2010, 17:07
This type of question is more an IQ test than maths. It's very easy to mis-read the question when under time constraints. But if you are careful, it is actually a very easy Q.

Anyway, here's the solution and discussion regarding the same question posted elsewhere in the forum:

ps-sets-with-sales-representatives-81848.html
Intern
Joined: 18 May 2010
Posts: 15
Schools: Marshall (In with $$), Babson (In with$$), Simon (In with \$ - Declined), Kellogg (Ding), Ross (Ding), Fuqua (Ding), Darden (Ding), Tepper (Ding)
WE 1: Oil Rig Manufacturing
Followers: 0

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

### Show Tags

26 May 2010, 17:09
Manager
Joined: 30 Jun 2004
Posts: 177
Location: Singapore
Followers: 1

Kudos [?]: 24 [0], given: 5

### Show Tags

27 May 2010, 02:10
I guess there is a similar ques in OG12 also. You can check that one for explanation and procedure to approach these question types.
Intern
Joined: 05 May 2010
Posts: 38
Followers: 0

Kudos [?]: 16 [0], given: 21

### Show Tags

27 May 2010, 03:25
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15503
Followers: 651

Kudos [?]: 210 [0], given: 0

Re: PS: sets with sales representatives [#permalink]

### Show Tags

18 Aug 2016, 07:42
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.
_________________
Re: PS: sets with sales representatives   [#permalink] 18 Aug 2016, 07:42
Display posts from previous: Sort by