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Manager
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Joined: 17 Oct 2016
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Location: India
Concentration: Operations, Strategy
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Hotel [#permalink]

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New post 13 Oct 2017, 03:52
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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
[Reveal] Spoiler: OA

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Kudos [?]: 51 [0], given: 105

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Kudos [?]: 6 [0], given: 36

Re: Hotel [#permalink]

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New post 13 Oct 2017, 04:29
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.

Answer D

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Re: Hotel [#permalink]

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New post 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


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Kudos [?]: 139277 [0], given: 12782

Re: Hotel   [#permalink] 13 Oct 2017, 05:29
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