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In a certain flight 3/4 of its seats were booked including 2/3 of its
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03 Sep 2019, 23:05
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Competition Mode Question 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%
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In a certain flight 3/4 of its seats were booked including 2/3 of its
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Updated on: 05 Sep 2019, 01:02
solve using 2x2 matrix BNBtotal BC2*x/3 12 x NBC  60x Total  45  15 60 let total seats ; 60 Booked ; 60*3/4 ; 45 and Not booked ; 15 Business class booked 3/5*60 ; 36=x so BC booked ; 2*36/3 = 24 and Not booked BC ; 12 so not booked Business class seats ; 12/15 ; 80 % IMO D
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 Archit3110 on 03 Sep 2019, 23:30.
Last edited by Archit3110 on 05 Sep 2019, 01:02, edited 1 time in total.



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In a certain flight 3/4 of its seats were booked including 2/3 of its
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Updated on: 04 Sep 2019, 23:17
IMO answer is option C. Posted from my mobile device
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Originally posted by EncounterGMAT on 03 Sep 2019, 23:32.
Last edited by EncounterGMAT on 04 Sep 2019, 23:17, edited 2 times in total.



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Re: In a certain flight 3/4 of its seats were booked including 2/3 of its
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03 Sep 2019, 23:44
Booked seats =3/4 seats not booked=1/4. Portion of Business class seats booked =2/3 and portion of business class seats not booked=1/3 Total Business class seats in the plane =3/5, Hence fraction of business class in plane not booked=(1/3)*(3/5)=1/5. Percentage of Business class seats not booked = (1/5)/(1/4) * 100% = 4/5*100% = 80%
Answer is therefore D.
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In a certain flight 3/4 of its seats were booked including 2/3 of its
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Updated on: 04 Sep 2019, 23:09
assume that total seats is 60
2/5 seats of 60 is business, so total business =36 2/3 of the 36 business seats were booked = 24 therefore 3624=12 business seats were unbooked the question ask what percent of the seats that were not booked were business class \(\frac{12}{60(1/4)}\)= 80%
D
Originally posted by joohwangie on 03 Sep 2019, 23:57.
Last edited by joohwangie on 04 Sep 2019, 23:09, edited 1 time in total.



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In a certain flight 3/4 of its seats were booked including 2/3 of its
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Updated on: 05 Sep 2019, 04:46
Edited: IMO it's D. Let the total number be 60. Then we can have a table :  B  Not B  BC  24  12  =36 NBC  21  3  =24 Sum 45  15  =60
We are asked 12 out of 15 which is 80%. (Sorry, the table is pretty ugly ) 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%
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Re: In a certain flight 3/4 of its seats were booked including 2/3 of its
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04 Sep 2019, 06:52
Let us consider 100 Seats, since this is a % question and there is no Fraction in the options. Given 1 : 3/4 Total Seats filled = 75% = 75 seats. Total Seats Vacant = (10075) = 25 Given 2 : 3/5 of Total Seats is Business Class = 60 out of 100 Seats and 2/3 of 60 is filled up = 40 seats of Business call filled up Therefore vacant Business class seats = 20 Question is : What is the % of vacant Business class seats out of the total Vacant seats Ans = Vacant Business class seats / Total Vacant Seats = 20/25 = 80% . Answer  D
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Re: In a certain flight 3/4 of its seats were booked including 2/3 of its
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04 Sep 2019, 06:52
Let us consider 100 Seats, since this is a % question and there is no decimal percentages in the options. Given 1 : 3/4 Total Seats filled = 75% = 75 seats. Total Seats Vacant = (10075) = 25 Given 2 : 3/5 of Total Seats is Business Class = 60 out of 100 Seats and 2/3 of 60 is filled up = 40 seats of Business call filled up Therefore vacant Business class seats = 20 Question is : What is the % of vacant Business class seats out of the total Vacant seats Ans = Vacant Business class seats / Total Vacant Seats = 20/25 = 80% . Answer  D
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Re: In a certain flight 3/4 of its seats were booked including 2/3 of its
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04 Sep 2019, 10:19
Let total seats = 100 Business class seats \(= \frac{3}{5} * 100 = 60\) Number of booked business class seats \(= \frac{2}{3} * 60 = 40\) So, Number of non  booked business class seats = 60 – 40 = 20 Total booked seats \(= \frac{3}{4} * 100 = 75\) Total number of non  booked seats = 100 – 75 = 25. Percentage o non  business class seats = \(\frac{(Number of non  booked business class seats)}{(Total number of non  booked seats)} * 100\) \(= \frac{20}{25} * 100\) = 80% Answer (D).
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Re: In a certain flight 3/4 of its seats were booked including 2/3 of its
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04 Sep 2019, 14:57
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?
Lets say total seats including economy and business class seats are 60 3/5 of its seats are business = \(\frac{3}{5}\) * 60 = 36 3/4 of total seats were booked, that is \(\frac{3}{4}\)*60 = 45 this 45 includes 2/3 of business class = \(\frac{2}{3}\) * 36 = 24 total economy seats = 60  36 = 24 so this 45 must include economy booked seats as = 45  24 = 21 Not booked business are 3624 = 12 Total % not booked business class were = \(\frac{12}{60}\) = \(\frac{1}{5}\) = 20%
A is the answer!




Re: In a certain flight 3/4 of its seats were booked including 2/3 of its
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