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In a certain flight 3/4 of its seats were booked: venn Diagr

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Joined: 06 Mar 2016
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In a certain flight 3/4 of its seats were booked: venn Diagr  [#permalink]

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Updated on: 02 Sep 2018, 12:25
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Difficulty:

75% (hard)

Question Stats:

56% (02:24) correct 44% (02:24) wrong based on 75 sessions

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In a certain flight 3/4 of its seats were booked including 2/3 of its business class seats. If 3/5 of its seats were business class,
then what percent of the seats that were not booked were business class?

A) 20%
B) 35%
C) 40%
D) 80%
E) 90%

Originally posted by divyajoshi12 on 02 Sep 2018, 11:12.
Last edited by pushpitkc on 02 Sep 2018, 12:25, edited 1 time in total.
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Joined: 13 Jun 2017
Posts: 18
Re: In a certain flight 3/4 of its seats were booked: venn Diagr  [#permalink]

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02 Sep 2018, 12:00
1
Let #seats = LCM(3,4,5) = 60

Booked = 3/4 of 60 = 45
Bsn = 3/5 of 60 = 36
Bsn booked = 2/3 of 36 = 24

% bsn not booked = ((36-24)*100)/(60-45) = 80% (D)

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In a certain flight 3/4 of its seats were booked: venn Diagr  [#permalink]

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02 Sep 2018, 12:31
1
divyajoshi12 wrote:
In a certain flight 3/4 of its seats were booked including 2/3 of its business class seats. If 3/5 of its seats were business class,
then what percent of the seats that were not booked were business class?

A) 20%
B) 35%
C) 40%
D) 80%
E) 90%

Assume a simple number for the total number of flight tickets - 400.
Since $$\frac{3}{4}$$th of its seats were booked - 300 were booked and 100 remain unbooked.

$$\frac{3}{5}$$th of the seats were business class: $$\frac{3}{5}*400 = 240$$.
$$\frac{2}{3}$$rd of the business class seats are booked - $$\frac{2}{3}*240 = 160$$ are booked.

80(240 - 160) business class tickets aren't booked and percentage of the tickets not booked is $$\frac{80}{100} = 80%$$

Therefore, the percent of the business class seats that were not booked is 80%(Option D)
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In a certain flight 3/4 of its seats were booked: venn Diagr  [#permalink]

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02 Sep 2018, 13:18
divyajoshi12 wrote:
In a certain flight 3/4 of its seats were booked including 2/3 of its business class seats. If 3/5 of its seats were business class,
then what percent of the seats that were not booked were business class?

A) 20%
B) 35%
C) 40%
D) 80%
E) 90%

it says "If 3/5 of its seats were business class" this info could be interpreted as 3/4*3/5 = booked biz class tickets that equals 2/3 (assuming we take some number of tickets inititially) , cause it doesnt state that 3/5 of ALL seats. this thing confused me and i got wrong answer.
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In a certain flight 3/4 of its seats were booked: venn Diagr  [#permalink]

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02 Sep 2018, 20:20
Assume total number of seats = 100.
Booked = 3/4 X 100 = 75.
Total number of Business class seats = 3/5 X 100 = 60.
2/3rd business class seats are booked = 2/3X60 = 40 Seats.
Number of Business class seats which are not booked (From above) = 60-40 = 20.
Total number of non booked seats = 100-75 = 25.
Percent of not booked business class seats from total not booked seats = 20/25*100 = 80%. (Answer D).
In a certain flight 3/4 of its seats were booked: venn Diagr   [#permalink] 02 Sep 2018, 20:20
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