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75% of the guestrooms at the Stagecoach Inn have a queen-siz

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75% of the guestrooms at the Stagecoach Inn have a queen-siz [#permalink] New post 13 Jan 2013, 15:38
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67% (02:49) correct 32% (02:05) wrong based on 4 sessions
75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 10% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking ?

A. 25%
B. 30%
C. 50%
D. 55%
E. 75%
[Reveal] Spoiler: OA

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Last edited by Bunuel on 14 Jan 2013, 01:39, edited 1 time in total.
Renamed the topic and edited the question.
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Re: PS: Overlapping sets [#permalink] New post 13 Jan 2013, 17:14
Lock at here for the solution

The post also has grids to show you step by step how to sole the problem

Link

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Re: PS: Overlapping sets [#permalink] New post 14 Jan 2013, 00:34
Rock750 wrote:
75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 10% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking ?

A- 25%
B- 30%
C- 50%
D- 55%
E- 75%



Hi,

Let x be the total no of Guest rooms and y be the total no of Non -Smoking rooms. Based on given information, following matrix can be formed (refer attachment)


Then Questions asks to to find z/x*100
Now from the Condition for Non-Smoking room we get,

0.6y+0.1x=y---> 0.4y=0.1x ---> x=4y i.e z=3y and therefore z/x*100 is 75%.

Thanks
Mridul
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Re: 75% of the guestrooms at the Stagecoach Inn have a queen-siz [#permalink] New post 28 Jan 2013, 10:43
Rock750 wrote:
75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 10% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking ?

A. 25%
B. 30%
C. 50%
D. 55%
E. 75%



from the table, we can calculate that % of Non- smoking rooms, x = 25%
Thus, % of Rooms that permit smoking (mrked as "?") = 75%

Answer E
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Re: 75% of the guestrooms at the Stagecoach Inn have a queen-siz   [#permalink] 28 Jan 2013, 10:43
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