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    The average salary of all 40 employees, including 35 non-teaching staff members, of a school is Rs. 4,000. If the average salary of the non-teaching s
    Question

    The average salary of all 40 employees, including 35 non-teaching staff members, of a school is Rs. 4,000. If the average salary of the non-teaching staff members is Rs. 4,200, find the average salary of the remaining staff of the school.

    A.

    Rs. 3,600

    B.

    Rs. 2,600

    C.

    Rs. 2,800

    D.

    Rs. 2,300

    Correct option is B

    Given:
    Total number of employees = 40
    Number of non-teaching staff = 35
    Average salary of all employees = Rs. 4000
    Average salary of non-teaching staff = Rs. 4200
    Formula Used:
    Total Salary of All Employees:
    Total Salary=Average Salary×Total Number of Employees\text{Total Salary} = \text{Average Salary} \times \text{Total Number of Employees}​​
    Total Salary of Non-Teaching Staff:
    Total Salary of Non-Teaching Staff=Average Salary of Non-Teaching Staff×Number of Non-Teaching Staff\text{Total Salary of Non-Teaching Staff} = \text{Average Salary of Non-Teaching Staff} \times \text{Number of Non-Teaching Staff}​​
    Average Salary of Remaining Staff:
    Average Salary of Remaining Staff=Total Salary of Remaining StaffNumber of Remaining Staff\text{Average Salary of Remaining Staff} = \frac{\text{Total Salary of Remaining Staff}}{\text{Number of Remaining Staff}}​​
    Solution:
    Total Salary of All Employees: = 4000 × 40 = 160000
    Total Salary of Non-Teaching Staff = 4200 × 35 = 147000
    Total Salary of Remaining Staff (Teaching Staff) = 160000 – 147000 = 13000
    Number of teaching staff = 40 – 35 = 5
    \text{Average Salary of Teaching Staff} = 130005 \frac{13000}{5}​ = 2600
    Thus, The average salary of the remaining staff (teaching staff) is Rs. 2600.

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