SOLUTION: the mean monthly salary paid to 75 employees In a company is rs.1420, the mean salary of 25 of them is rs.1350 and that of 30 others is rs.1425, the mean salary of the remaining

Algebra.Com
Question 993884: the mean monthly salary paid to 75 employees In a company is rs.1420, the mean salary of 25 of them is rs.1350 and that of 30 others is rs.1425, the mean salary of the remaining is..
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
total salary for all amployees divided by number of employees is equal to average salary for each employee.

average salary for each employee multiplied by number of employees is equal to total salary for all amployees.

-----

75 employees make an average of 1420 each.

that's a total of 75 * 1420 = 106500

25 of them make an average of 1350 each.

that's a total of 25 * 1350 = 33750

30 of them make an average of 1425 each.

that's a total of 30 * 1425 = 42750.

so you have 75 people make a total of 106500 and you have 25 of them make a total of 33750 and you have 30 of them make a total of 42750.

the number of people left are 75 - 25 - 30 = 20.

the total salary left is 106500 - 33750 - 42750 = 30000.

the average for the remaining 20 is 30000 / 20 = 1500.

75 people at an average of 1420 each is equal to a total of 106500.

this is composed of:

25 people at an average of 1350 each is equal to a total of 33750.
30 people at an average of 1425 each is equal to a total of 42750.
20 people at an average of 1500 each is equal to a total of 30000.

25 + 30 + 20 = 75.
33750 + 42750 + 30000 = 106500.

numbers look good.

RELATED QUESTIONS

The average price monthly salary of A,B and C is Rs.600 and that of B,Cand D is Rs 750.if (answered by ikleyn)
The monthly salary in a big organization is normally distributed with mean Rs. 3000, and... (answered by stanbon)
In a survey of a company, mean salary of employees is $29,321 with SD of $2,120. Consider (answered by Edwin McCravy)
In a survey of a company, mean salary of employees is 29, 321 with SD og 2, 120 Consider... (answered by Boreal)
The distribution of weekly salaries at a large company is reverse J-shaped with a mean of (answered by stanbon)
A study of iron deficiency among infants compared samples of infants following different... (answered by stanbon)
A company has 14 employees with a salary of ​$21,000​, 12 employees with a salary of... (answered by Edwin McCravy)
The mean salary of the female employees of one company is $29,525. The mean salary of the (answered by stanbon)
The six departments of a company, consisting of 22, 32, 18, 16, 10, and 12 employees have (answered by solver91311)