Question Details

Find the ratio of number of Domestic passengers in aircrafts of airline A to the number 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

4:3

B

4:5

C

5:4

D

6:7

Show Answer

Correct Answer :

Option C

5:4

Solution :

The correct answer is 5:4.


Step 1: Understand the given data from the table

From the table provided in the question, we have the following data for Airline A and Airline B:

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


Step 2: Calculate total passengers and Domestic passengers for Airline A

Total passengers in Airline A = Total aircrafts Ă— Average number of passengers in each aircraft

Total passengers in A = 20 Ă— 12 = 240

Now, split 240 passengers into Domestic and International using the ratio 5 : 3.

Sum of ratio parts = 5 + 3 = 8 parts

Domestic passengers in A = 240 Ă— 5 8 = 30 Ă— 5 = 150


Step 3: Calculate total passengers and International passengers for Airline B

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

Total passengers in B = 24 Ă— 15 = 360

Now, split 360 passengers into Domestic and International using the ratio 2 : 1.

Sum of ratio parts = 2 + 1 = 3 parts

International passengers in B = 360 Ă— 1 3 = 120


Step 4: Find the required ratio

We need to find the ratio of Domestic passengers in Airline A to International passengers in Airline B:

Required Ratio = 150 : 120

Dividing both terms by 30:

Required Ratio = 5 : 4

Thus, the ratio of the number of Domestic passengers in aircrafts of Airline A to the number of International passengers in aircrafts of Airline B is 5:4.

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