Question

the mean salary of 15 workers is 10500 if the salary of the team leader is added the mean will be increase by rupees 750 find the salary of the team leader
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Answer 1

Answer:

The salary of the team leader is Rs.22,500.

Step-by-step explanation:

The mean salary of 15 workers is Rs.10,500.

The sum of the salaries of these 15 employees is:

$\bar x=\frac{1}{n} \sum x\\10500=\frac{1}{15} \sum x\\\sum x=157500$

The new mean after adding the salary of the team leader is, Rs. 11,250.

The sum of the salaries of these 15 employees is:

$\leq \bar x=\frac{1}{n} \sum x\\11250=\frac{1}{16} \sum x\\\sum x=180000$

The salary of the team leader is: $180000-157500=22500$

Thus, the salary of the team leader is Rs.22,500.

Answer 2

Answer:

let the sum of salary of 15 workers be x ....and the salary of team leader be y...

now

x/15=10500

x=10500*15

x=157500

now

x+y/16=10500+750

x+y/16=11250

x+y=11250*16

x+y=180000

157500+y=180000

y=180000-157500

y=22,250

so the salary of team leader is RS 22250.

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