The number of vehicles on highway B on Friday is approximately what percent of total vehicles on Sun...........

Quantitative Aptitude(IBPS PO) Case Studies

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There are three highways i.e. Highways A, Highways B and Highways C, Some numbers of vehicles on these highways on different days i.e. Friday, Saturday and Sunday. On each day some numbers of vehicles pass on these three highways.

Friday: The number of vehicles on highway B is one third of the highway B of Saturday. The number of vehicles on highway C is 3/4th of highway C of Saturday. The number of vehicle on highway A and C is same.

Saturday: Total number of vehicle of Saturday is 75000. The number of vehicles on highway B is 15000 less than that of highway A & C together. The number of vehicles on highway A is 5/6th of highway A of Sunday.

Sunday: Total number of vehicles of Sunday is 4/5th of Saturday. The number of vehicle of highway A is equal to highway B of Saturday. The number of vehicles on highway C is same on Saturday and Sunday.

The number of vehicles on highway B on Friday is approximately what percent of total vehicles on Sunday?

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IBPS PO Mains-2017

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15%

18%

12%

17%

21%

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Explanation:

Correct option:4

Solution:

Vehicles on highway B on Friday=10000
Total vehicles on Saturday=75000 Total vehicles on Sunday=75000*4/5=60000
Total vehicles on Sunday=60000
According to the questions, 10000*100/60000=16.66%= 17% approx.

Detailed explanation:
Saturday, The number of vehicles on highway B is 15000 less than that of highway A & C together.
Let A&C together=x
Then highway B=x-15000
x+x-15000=75000
x=45000
So on highway B=75000-45000=30000
A&C=45000
Friday, The number of vehicles on highway B is one third of the highway B of Saturday.
So on highway B=30000/3=10000
Sunday, The number of vehicle of highway A is equal to highway B of Saturday.
So highway A=30000
Saturday, The number of vehicles on highway A is 5/6th of highway A of Sunday.
So highway A=30000*5/6=25000
We know that highway A +C=45000
So highway C=45000-25000=20000
Sunday, The number of vehicles on highway C is same on Saturday and Sunday.
So highway C=20000 T
Total Sunday=60000
Then highway B=60000-(30000+20000)10000
Friday, The number of vehicles on highway C is 3/4th of highway C of Saturday.
So highway C=20000*3/4=15000
The number of vehicle on highway A and C is same.
So highway A=15000