Question

The average monthly salary of 10 workers is Rs. 1750. If salary of manager is added in it then average salary increases by 200. What is managers monthly salary?​

Answer 1

Answer:

Manager salary is Rs.3950

Step-by-step explanation:

Given-

The average monthly salary of 10 workers is Rs. 1750.

Salary of manager is added in it then average salary increases is 200.

To find-

Managers monthly salary.

Solution-

Average means sum of all given number by number .

The average monthly salary of 10 workers is Rs. 1750.

Sum of salary of 10 worker is $x$

We can write given information as,

$\frac{x}{10}=1750$

$x= 1750 \times10\\x=17500$

Sum of salary of 10 worker is Rs. 17500

Salary of manager is added in it then average salary increases by 200.

Number of worker's = 10 worker's + manager

Number of worker's = 11

Average Salary increased after adding manager salary = The average monthly salary of 10 workers is Rs. 1750 + average salary increases by 200

Average Salary increased after adding manager salary = $1750+200$= $1950$

Let, Manager salary is $y$

$\frac{Sum \:of \:10\:worker\:salary+manager\:salary}{11}$= $1950$

$\frac{17500+ y}{11} = 1950$

$17500+y= 1950\times11\\17500+y =21450$

$y= 21450-17500$

$y=3950$ Rs.

∴ Manager salary is Rs.3950