Question

The mean salary of 20 workers is Rs.10250.If the salary of office superintendent is added, the mean will increase by Rs.750.Find the salary of the office superintendent.

Answer 1

Answer:

Salary of 20 workers = 20 * 10250 = ₹205000

Salary of 20 workers and superintendent = 21 * (10250+750) = ₹231000

Salary of superintendent = 231000 - 205000 = ₹26000

Answer 2

The salary of the office superintendent is Rs.26000

Step-by-step explanation:

The mean salary of 20 workers is Rs.10250.

$Average = \frac{\text{Sum of all observations}}{\text{No. of observations}}$

$10250= \frac{\text{Sum of salary of 20 workers}}{20}\\10250 \times 20 =\text{Sum of salary of 20 workers}\\205000=\text{Sum of salary of 20 workers}$

Let the salary of the office superintendent be x

We are given that the salary of office superintendent is added, the mean will increase by Rs.750.

So, New sum = 205000+x

New Mean = 10250+750=11000

No. of workers = 20+1 =21

$11000= \frac{205000+x}{21}\\(11000 \times 21)-205000=x$

26000=x

Hence The salary of the office superintendent is Rs.26000

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