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# Hotel

Author Message
Senior Manager
Joined: 17 Oct 2016
Posts: 325
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)

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13 Oct 2017, 04:52
00:00

Difficulty:

(N/A)

Question Stats:

67% (01:10) correct 33% (00:01) wrong based on 6 sessions

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A hotel has two types of rooms: basic and deluxe. On a certain night, the hotel rented 75% of its rooms, including 2/3 of its basic rooms. What percentage of the rooms that were not rented on that night were basic?

(1) 60% of all the rooms in the hotel are basic

(2) On that night, 12.5% of the deluxe rooms were not rented

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Manager
Joined: 14 Sep 2016
Posts: 149

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13 Oct 2017, 05:29
Sasindran wrote:
A hotel has two types of rooms: basic and deluxe. On a certain night, the hotel rented 75% of its rooms, including 2/3 of its basic rooms. What percentage of the rooms that were not rented on that night were basic?

(1) 60% of all the rooms in the hotel are basic

(2) On that night, 12.5% of the deluxe rooms were not rented

Consider total no. of rooms as 100
hence, we get total no. of rooms rented as 75
Rooms not rented will 25

consider basic room as B & delux rooom as D

Room that is rented and basic is 2/3B

B+D = 100

we have to calculate room that is basic and not rented

1) 60% of all the room is basic so total 60 rooms are basic and 2/3 (60) = 40 (Rented basic room) so not rented is 20 hence, Sufficient

2) 12.5% of delux room not rented.

so 0.125D is not rented and B-2/3B = Basic room not rented.
We know that B+D=100 and 0.125D + (B-2/3B) = 25 (Total no. of rooms not rented)
Substituting the value of D we can get the value of B.

Hence, Sufficient.

Math Expert
Joined: 02 Sep 2009
Posts: 47169

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13 Oct 2017, 06:29
Sasindran wrote:
A hotel has two types of rooms: basic and deluxe. On a certain night, the hotel rented 75% of its rooms, including 2/3 of its basic rooms. What percentage of the rooms that were not rented on that night were basic?

(1) 60% of all the rooms in the hotel are basic

(2) On that night, 12.5% of the deluxe rooms were not rented

Discussed here: a-hotel-has-two-types-of-rooms-basic-and-deluxe-on-a-certain-night-242409.html

TOPIC IS LOCKED AND ARCHIVED.

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: Hotel &nbs [#permalink] 13 Oct 2017, 06:29
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