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Question
The mean salary of 20 workers is Rs.10,250. If the salary of office superintendent is added, the mean will increase by Rs.750. Find the salary of the office superintendent.
Solution
We have,
The mean salary of 20 workers is Rs.10,250.
The sum of salary of 20 workers = 10250 × 20 = Rs. 205000
Since, the mean will increase by Rs.750 if the salary of office superintendent is added
The mean salary of 21 workers including office superintendent = 10250 + 750 = Rs. 11000
The sum of salary of 21 workers including office superintendent = 11000 × 21 = Rs. 231000
So, the salary of the office superintendent = 231000 - 205000 = Rs. 26000.
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