Question Details

The number of International passengers in aircrafts of airline E is what percent of International passengers in aircrafts of airline B? Read the following table carefully and answer the questions given below. The table given below shows the number of aircrafts in five different airlines (A, B, C, D & E) and the average number of passengers in each aircraft. The table also shows the ratio of total domestic to total International passengers in these five airlines.


Note: Average number of passengers in each aircraft of airline E is same as average number of passengers in each aircraft of airline A

Airline Total aircrafts Average number of passengers in each aircraft Domestic : International
A 20 12
5 : 3
B 24 15
2 : 1
C 15 8
3 : 2
D 18 10
5 : 4
E 25 -----
7 : 3

Options

A

70%

B

85%

C

75%

D

80%

Show Answer

Correct Answer :

Option C

75%

Solution :

The correct answer is 75%.


Step 1: Analyze the given data from the table.

For Airline A:
Total aircrafts = 20
Average number of passengers in each aircraft = 12
Ratio of Domestic to International passengers = 5 : 3

For Airline B:
Total aircrafts = 24
Average number of passengers in each aircraft = 15
Ratio of Domestic to International passengers = 2 : 1

For Airline E:
Total aircrafts = 25
Ratio of Domestic to International passengers = 7 : 3
As stated in the note: Average number of passengers in each aircraft of Airline E = Average number of passengers in each aircraft of Airline A = 12


Step 2: Calculate the number of International passengers for Airline B.

Total passengers in Airline B = Total aircrafts Ă— Average number of passengers

Total passengers in Airline B = 24 × 15 = 360

The ratio of Domestic to International passengers in Airline B is 2 : 1. The total parts = 2 + 1 = 3.

International passengers in Airline B = 360 × 1 3 = 120


Step 3: Calculate the number of International passengers for Airline E.

Total passengers in Airline E = Total aircrafts Ă— Average number of passengers

Total passengers in Airline E = 25 × 12 = 300

The ratio of Domestic to International passengers in Airline E is 7 : 3. The total parts = 7 + 3 = 10.

International passengers in Airline E = 300 × 3 10 = 90


Step 4: Find the required percentage.

We need to find what percent International passengers in Airline E are of International passengers in Airline B:

Required Percentage = International passengers in Airline E International passengers in Airline B × 100

Required Percentage = 90 120 × 100 = 3 4 × 100 = 75 %

Hence, the number of International passengers in aircrafts of Airline E is 75% of International passengers in aircrafts of Airline B.

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