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.
| Companies | Graduate – Post Graduate employees |
|---|---|
| A | 4 |
| B | 2 |
| C | 36 |
| D | 90 |
| E | 96 |
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?
Correct Answer :
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 and respectively. According to the problem statement, .
Step 1: Calculate the graduate and post-graduate employees in Company A
We are given:
Adding these two equations:
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:
Adding these two equations:
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:
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:
So, the number of post-graduate employees in Company X is:
Step 5: Find the ratio of post-graduate employees in X to graduate employees in E
The required ratio is:
Therefore, the correct option is 52:75.
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