A company had 4 departments with an average of 45 employees each. Later, a fifth department was added with 90 employees. Due to restructuring, 10 employees from each of the original four departments were transferred to the new department. What is the new average number of employees per department?
Show answer & explanation
Correct answer: C
Explanation
Given:
Average of each of the four departments = 45 employees
Total employees (previously) = 4 × 45 = 180
Fifth department = 90 employees
10 employees transferred from each old department
Average = Total employees / Number of departments
Total transfers from four departments = 10 × 4 = 40
Employees remaining in the old four departments = 180 − 40 = 140
Employees in the new department = 90 + 40 = 130
Total employees = 140 + 130 = 270
Total departments = 5
New average = 270 / 5 = 54
New average number of employees in each department = 54 employees.