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

Question

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%

Archit3110 · Answer

solve using 2x2 matrix
---B--------NB----total
BC--2*x/3-- 12 ------x
NBC-- ------ 60-x
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%

EncounterGMAT · Answer

IMO answer is option C.

Posted from my mobile device

eakabuah · Answer

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.

Posted from my mobile device

joohwangie · Answer

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 36-24=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

Prasannathawait · Answer

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%

kdgupta · Answer

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 = (100-75) = 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

Regards KDgupta

kdgupta · Answer

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 = (100-75) = 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

Regards KDgupta

unraveled · Answer

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).

snoep · Answer

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 36-24 = 12
Total % not booked business class were =  \frac{12}{60}  =  \frac{1}{5}  = 20%

A is the answer!

Deyoz · Answer

i thought to take the number of not booked bsusiness class seats to a total number of seats   * 100 %, getting 20 % trap answer.

but from the question stem, i cannot infer to take   * 100 %. Can some one please explain, how do we understand weather it is to take   or  .

bumpbot · Answer

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