Question Details

Bar graph given below shows the total number of graduate and post graduate employees in five different companies. Table shows the difference between graduate and posts graduate employees.

CompaniesGraduate – Post Graduate employees
A4
B2
C36
D90
E96

Note – Total Employees = Graduate + Post Graduate Employees
Graduate employees are more than Post Graduate Employees

In company X, the total employees are average number of employees in A, C and E. The ratio of graduate employees in A and X is 1:1. Find the ratio of post graduate employees in X and graduate employees in E?

Options

A

30:31

B

57:31

C

22:57

D

52:75

Show Answer

Correct Answer :

Option D

52:75

52:75

Solution :

From the given bar graph, we can determine the total number of employees for each company:
Total employees in Company A = 220
Total employees in Company C = 224
Total employees in Company E = 204

Let the number of graduate employees and post-graduate employees in any company be represented by G and P respectively. According to the problem statement, G>P.

Step 1: Calculate the graduate and post-graduate employees in Company A
We are given:
GA+PA=220
GA-PA=4
Adding these two equations:
2GA=224GA=112
Thus, the number of graduate employees in Company A is 112.

Step 2: Calculate the graduate and post-graduate employees in Company E
We are given:
GE+PE=204
GE-PE=96
Adding these two equations:
2GE=300GE=150
Thus, the number of graduate employees in Company E is 150.

Step 3: Calculate the total employees in Company X
The total number of employees in Company X is the average of the total employees in Companies A, C, and E:
TotalX=220+224+2043=6483=216

Step 4: Find the graduate and post-graduate employees in Company X
We are given that the ratio of graduate employees in A and X is 1:1:
GX=GA=112
So, the number of post-graduate employees in Company X is:
PX=TotalX-GX=216-112=104

Step 5: Find the ratio of post-graduate employees in X to graduate employees in E
The required ratio is:
PX:GE=104:150=52:75

Therefore, the correct option is 52:75.

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