Question Details

Line graph shows number of departments and average number of employees in all the departments in five different companies (P, Q, R, S and T). Read the following line graph carefully and answer the questions given below.


Find the ratio of total number of employees in all the departments of company T to that of company Q.

Options

A

25 :24

B

25 :23

C

25 :27

D

25 :29

E

25 :21

Show Answer

Correct Answer :

Option A

25 :24

Solution :

The correct answer is 25 : 24.



Step 1: Understand the given line graph data.
The line graph shows two parameters for companies P, Q, R, S, and T:
1. Blue Line: Represents the Number of departments.
2. Orange Line: Represents the Average number of employees in all departments.


Step 2: Formula for Total Employees in a Company
The total number of employees in all departments of a company is given by:

Total Employees = (Number of departments) × (Average number of employees per department)


Step 3: Extract the values for Company T and Company Q from the image.
From the line graph for Company T:
• Number of departments (Blue line) = 25
• Average number of employees in all departments (Orange line) = 50

Total employees in Company T = 25 × 50 = 1250


From the line graph for Company Q:
• Number of departments (Blue line) = 20
• Average number of employees in all departments (Orange line) = 60

Total employees in Company Q = 20 × 60 = 1200


Step 4: Find the required ratio.
We need to find the ratio of total number of employees in company T to that of company Q:

Ratio = Total employees in T Total employees in Q = 1250 1200


Simplifying the fraction by dividing both numerator and denominator by 50:

Ratio = 25 24


Thus, the required ratio is 25 : 24.

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