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 F, total graduate employees are 121 more than graduate employees in B. Total employees in F are 125% more than graduated employees in A. find the total post graduated employees in F?

Options

A

30

B

31

C

22

D

39

Show Answer

Correct Answer :

31

Solution :

Based on the provided bar graph, we can find the total number of employees for each company:
- Company A: 220 employees
- Company B: 195 employees

From the given table, we have the difference between Graduate and Post Graduate employees (where Graduate employees > Post Graduate employees):
- For Company A: Graduate - Post Graduate = 4
- For Company B: Graduate - Post Graduate = 5

Step 1: Calculate the number of graduate employees in Company A and Company B.

For Company A:
Total employees = Graduate + Post Graduate = 220
Difference = Graduate - Post Graduate = 4

2 \times \text{Graduate (A)} = 220 + 4 = 224

\text{Graduate (A)} = 112

For Company B:
Total employees = Graduate + Post Graduate = 195
Difference = Graduate - Post Graduate = 5

2 \times \text{Graduate (B)} = 195 + 5 = 200

\text{Graduate (B)} = 100

Step 2: Calculate the number of graduate employees in Company F.

The total graduate employees in F are 121 more than graduate employees in B:

\text{Graduate (F)} = 100 + 121 = 221

Step 3: Calculate the total number of employees in Company F.

Total employees in F are 125% more than the graduate employees in A:

\text{Total (F)} = \text{Graduate (A)} + 125\% \text{ of Graduate (A)}

\text{Total (F)} = 112 \times (1 + 1.25) = 112 \times 2.25 = 252

Step 4: Find the total post graduate employees in Company F.

\text{Post Graduate (F)} = \text{Total (F)} - \text{Graduate (F)}

\text{Post Graduate (F)} = 252 - 221 = 31

Thus, the total post graduate employees in company F is 31.

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