Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 06 Oct 2015, 17:35

### 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

Author Message
TAGS:
Manager
Joined: 04 Apr 2010
Posts: 165
Followers: 1

Kudos [?]: 103 [0], given: 31

00:00

Difficulty:

(N/A)

Question Stats:

75% (03:33) correct 25% (00:00) wrong based on 4 sessions
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) 51
B) 52
C) 53
D) 54
E ) 55

I got 42 but the answer is ....
[Reveal] Spoiler: OA

_________________

Consider me giving KUDOS, if you find my post helpful.
If at first you don't succeed, you're running about average. ~Anonymous

Director
Joined: 01 Feb 2011
Posts: 759
Followers: 14

Kudos [?]: 77 [0], given: 42

30% of 60 will be accommodated at XYZ = 18
70% of 60 will be accommodated at ABC = 42

55% of 60 prefer XYZ = 33
45% of 60 prefer ABC = 27

we were asked to find number of maximum possible people who were accommodated at hotels they dont prefer,

So for 18 XYZ accommodations , we can choose 18 ABC preferring people (so xyz is filled up) Here 18 were given to people who dont prefer XYZ
for 42 ABC accommodations, we can choose 33 ABC preferring people and rest to ABC. Here 33 were given to people who dont prefer ABC.

So total people who were accommodated at hotel they dont prefer = 18+33 = 51

bhandariavi wrote:
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) 51
B) 52
C) 53
D) 54
E ) 55

I got 42 but the answer is ....
Manager
Joined: 04 Apr 2010
Posts: 165
Followers: 1

Kudos [?]: 103 [0], given: 31

I calculated it using percentage figures alone 85% * 65 / 100 = 51
Thanks for the idea.
_________________

Consider me giving KUDOS, if you find my post helpful.
If at first you don't succeed, you're running about average. ~Anonymous

SVP
Joined: 16 Nov 2010
Posts: 1676
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 31

Kudos [?]: 382 [0], given: 36

30/100 * 60 = 18 will be at XYZ

and the 42 will be at ABC

So Max # of representatives NOT given accommodations at the hotel they prefer = Total # of Rep - MIN # of representatives given accommodations at the hotel they prefer

So, all the 55% of rep who want to stay at XYZ can be moved to hotel ABC

and out of the 45% who want to stay in ABC, only 15% will be there and the remaining ones (45-15 = 30%) in hotel XYZ.

So total 85% are not give hotels of their preferences

=> 85/100 * 60 = 5100/100 = 51

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Similar topics Replies Last post
Similar
Topics:
11 Before leaving for his business trip, Chad asks his assistant to choos 6 02 Dec 2014, 21:50
9 On a business trip, 30 percent of 60 sales representatives will be 6 29 Aug 2010, 05:12
77 During a trip, Francine traveled x percent of the total 35 02 Mar 2009, 16:27
3 Peter and Tom shared the driving on a certain trip. If Peter 12 04 Dec 2007, 18:07
5 During a trip, Francine traveled x percent of the total 3 30 Apr 2006, 07:23
Display posts from previous: Sort by
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}