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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.

If two employees (each with a basic pay of Rs. $6000)$ are transferred from Maintenance department to HR department. and one person (with a basic pay of Rs. $8000)$ was transferred from Marketing department to HR department, what will be the percentage change in average basic pay of HR department?

  1. $10.5\%$
  2. $12.5\%$
  3. $15\%$
  4. $30\%$
  5. $40\%$
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