Question
The average salary of all 40 employees, including 35
non-teaching staff members, of a school is ₹4,000. If the average salary of the non-teaching staff members is ₹4,200, find the average salary of the remaining staff of the school.Solution
We know that the average salary of all 40 employees is ₹4,000. Therefore, the total salary of all staff members is 40 × 4,000 = 160,000. The total salary of the non-teaching staff members is N×An = 35 × 4,200 = 147,000. Total salary of teaching staff = Total salary of all staff -Total salary of non Total salary of teaching staff = 160,000-₹147,000= 13,000 Since we don't know the number of teaching staff members (T), we cannot directly find AT. However, we can find Ar by dividing the total salary of teaching staff by the number of teaching staff members: Ат = Total salary of teaching staff/T We can find T using the fact that there are 40 employees in total: T=40-N =40-35 = 5 Now, we can find AT: Ат = 13,000/ 5 = 2,600 So, the average salary of the remaining staff (teaching staff) at the school is ₹2,600.
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