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

Find the difference between average number of graduate employees in B and D and average number of post graduate employees in A and E?

Based on the provided bar graph, we can determine the total number of employees for each company by identifying the heights of the bars:
Total employees in Company A = 220
Total employees in Company B = 196
Total employees in Company C = 224
Total employees in Company D = 200
Total employees in Company E = 204

We are given that:
Total Employees = Graduate (G) + Post Graduate (PG)
Graduate Employees > Post Graduate Employees, with the differences given in the table.
Therefore, for any company:

$G+\mathrm{PG}=\text{Total}$

$G-\mathrm{PG}=\text{Difference}$

From these equations, we can calculate the number of Graduate (G) and Post Graduate (PG) employees for each company using:

$G=\frac{\text{Total}+\text{Difference}}{2}$

$\mathrm{PG}=\frac{\text{Total}-\text{Difference}}{2}$

Let's find the required values:

1. Graduate employees in B:
Total for B = 196, Difference = 2
$G_B=\frac{196+2}{2}=99$

2. Graduate employees in D:
Total for D = 200, Difference = 90
$G_D=\frac{200+90}{2}=145$

3. Post Graduate employees in A:
Total for A = 220, Difference = 4
${\mathrm{PG}}_A=\frac{220-4}{2}=108$

4. Post Graduate employees in E:
Total for E = 204, Difference = 96
${\mathrm{PG}}_E=\frac{204-96}{2}=54$

Now, calculate the averages:

Average number of graduate employees in B and D:
${\text{Average}}_{\text{G(B,D)}}=\frac{99+145}{2}=\frac{244}{2}=122$

Average number of post graduate employees in A and E:
${\text{Average}}_{\text{PG(A,E)}}=\frac{108+54}{2}=\frac{162}{2}=81$

Finally, find the difference between the two averages:
$\text{Difference}=122-81=41$

Therefore, the correct option is 41.