## A hotel has two types of rooms: basic and deluxe. On a certain night, the hotel rented 75% of its rooms, including 2/3

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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

by BTGmoderatorDC » Sun Mar 27, 2022 6:56 pm

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## Global Stats

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

OA D

Source: Veritas Prep

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### Re: A hotel has two types of rooms: basic and deluxe. On a certain night, the hotel rented 75% of its rooms, including 2

by swerve » Mon Mar 28, 2022 1:04 pm

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## Global Stats

BTGmoderatorDC wrote:
Sun Mar 27, 2022 6:56 pm
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

OA D

Source: Veritas Prep
Sets Question
$$B =$$ Basic, $$D =$$ Deluxe

Consider, Total Rooms $$= 100 = B + D$$

Rented Out $$= 75$$

Statement 1

$$60\%$$ rooms are basic

$$\Rightarrow \; 40$$ rooms rented out, and $$20$$ not rented out. Sufficient $$\Large{\color{green}\checkmark}$$

Statement 2

$$12.5\%$$ of deluxe rooms not rented out.

$$\Rightarrow \; \dfrac{1}{8}$$ not rented out, and $$\dfrac{7}{8}$$ rented out

$$\dfrac{2}{3}B + \dfrac{7}{8} D = 75$$

From the Question, $$B + D = 100$$

We can solve for $$B$$. Sufficient $$\Large{\color{green}\checkmark}$$

Therefore, D

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