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. - Algebra

Sum

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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Chapter 7: Statistics - Problem Set 7 [Page 127]

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Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 7 Statistics
Problem Set 7 | Q (2) | Page 127
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