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.

Answer 1

We have,

The mean salary of 20 workers is Rs.10,250.

The sum of salary of 20 workers = $10250\times 20=\mathrm{Rs}.2,05,000$

Since, the mean will increase by Rs.750 if the salary of office superintendent is added

$\Rightarrow$ The mean salary of 21 workers including office superintendent = $10250+750=\mathrm{Rs}.11,000$$10250+750=\mathrm{Rs}.11,000$

$\Rightarrow$ The sum of salary of 21 workers including office superintendent = $11000\times 21=\mathrm{Rs}.2,31,000$

So, the salary of the office superintendent = $231000-205000=\mathrm{Rs}.26,000$