Answer the following question based on the information given below.
There are $100$ employees in an organization across five departments. The following table gives the department-wise distribution of average age, average basic pay and allowances. The gross pay of an employee is the sum of his/her basic pay and allowances.
Department
|
Number of Employees
|
Average Age (years)
|
Average Basic Pay (Rs)
|
Allowances (% of Basic Pay)
|
HR
|
5
|
45
|
5000
|
70
|
Marketing
|
30
|
35
|
6000
|
80
|
Finance
|
20
|
30
|
6500
|
60
|
Business Development
|
35
|
42
|
7500
|
75
|
Maintenance
|
10
|
35
|
5500
|
50
|
There are limited number of employees considered for transfer/promotion across departments. Whenever a person is transferred/promoted from a department of lower average age to a department of higher average age, he/she will get an additional allowance of $10\%$ of basic pay over and above his/her current allowance. There will not be any change in pay structure if a person is transferred/promoted from a department with higher average age to a department with lower average age.
What is the approximate percentage change in the average gross pay of the HR department due to due to transfer of a $40$-year old person with basic pay of Rs. $8000$ from the Marketing department?
- $9\%$
- $11\%$
- $13\%$
- $15\%$
- $17\%$