Hence, option A is correct.
Common Explanation:
Number of HRD employees given an above average grade = 1/3rd of the total number of employees in HRD
∴ Number of employees from HRD given an above average grade = (1/3) × 48 = 16
Total number of employees given an average grade = 6 × Number of employees from Marketing department given an Excellent grade
∴ Total number of Average grade employees = 6 × 6 = 36
Total number of participating employees from Finance Department = 2 × Number of above average grade employees from HRD
∴ Total number of participating employees from the Finance Department = 2 × 16 = 32
Total Number of participating employees = (Number of Excellent grade employees) + (Number of Very good grade employees) + (Number of above Average grade employees) + (Number of Average grade employees)
∴ 137 = 13 + 31 + Number of above average grade employees + 36
∴ Total number of above average grade employees = 57
Total number of excellent grade employees = Sum of the number of Excellent grade employees from Marketing, HRD and Finance department
Doing the above for each grade we get.
Number of excellent grade employees in Finance department = 15
Number of very good grade employees in Marketing department = 19
Number of above average grade employees in Finance department = 9
Total number of participants = sum of the number of participants from all branches
∴ 137 = Number of employees in Marketing department + 48 + 32
∴ Total number of employees in Marketing department = 57
Number of Excellent + very good + above average + average employees in every department = Total number of participating employees in respective department
From this, we get that the average grade employees in Marketing, HRD and Finance Departments are 0, 25 and 11 respectively.
From the above information, we complete the table as follows