Latest Elitmus Aptitude Question SOLUTION: a school group charters three identical busses and occupies 4/5 of the seats.after 1/4 of the passengers leave,the remaining passengers use only two of the busses.the fraction of t

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(#M40164728) ELITMUS Numerical Ability question Keep an EYE

a school group charters three identical busses and occupies 4/5 of the seats.after 1/4 of the passengers leave,the remaining passengers use only two of the busses.the fraction of the seats on the two busses that are now occupied.

Asked In Elitmus Sniper (6 years ago)

Unsolved Read Solution (5)

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Susmeeta Sau  (6 years ago)

Let the number of seats in each bus is x
Total Seats=3x
Number of seats occupies=4/5*(3x)
Remaining passengers=1-1/4=3/4
Now occupied seats=(3/4)*(4/5)*3x=9x/5
They use only two busses....
fraction of seats=9x/5*(1/2x)= 9/10

Is this solution Helpfull? Yes (7) | No (5)  

rishab kumar  (5 years ago)

The buses each seat x passengers. You have 3 buses each 4/5 full, so your total number of passengers = 3 * 4/5 * x = (12/5)x

1/4 leave, so now you are down to 3/4 of the passengers remaining, so that is (3/4) * (12/5)x = (36/20)x = (9/5)x

Since these people are now on two buses, half of this number is on each bus, so each bus has (1/2) * (9/5)x or (9/10)x, so 9/10's of the seats are taken on each bus

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Rahul Shrivastava  (6 years ago)

Total No. of passenger Occupied seats
100% 80%
75% ?
60% ------ means 3/5 fraction of seats

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harshul  (6 years ago)

80 percent

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rahul  (2 years ago)

let us consider that each buses has the capacity to hold (x child)
therefore total capacity of bus = 3x
seat occupy= (4/5)*3x=12x/5
among that group 1/4 leave= (12x/5)*(1/4)=3x/5
remaining child=12x/5 - 3x/5=9x/5
now we have to find fraction of seat on 2 buses that are now occupied:
1st capacity of 2 buses =2x
therefore:= (9x/5)*(1/2x)=9/10

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