- #1

- 27

- 2

## Homework Statement

There are 100 employees in an organization across five departments. The following table gives the department-wise distribution of average age, average basic pay and allowances. The gross pay of an employee is the sum of his/her basic pay and allowances.

There are limited number of employees considered for transfer/promotion across departments. Whenever a person is transferred/promoted from a department of lower average age to a department of higher average age, he/she will get an additional allowance of 10% of basic pay over and above his/her current allowance. There will not be any change in pay structure if a person is transferred/promoted from a department with higher average age to a department with lower average age.

There was a mutual transfer of an employee between Marketing and Finance departments and transfer of one employee from Marketing to HR. As a result the average age of Finance department increased by one year and that of Marketing department remained the same. What is the new average age of HR department?

- 30
- 35
- 40
- 45
- cannot be determined

## Homework Equations

## The Attempt at a Solution

these are the equations i came up with .

## \frac{m_1 + m_2 + ... + m_{30}}{30}=35...(1)##

## \frac{f_1 + f_2 + ... + f_{20}}{20}=30...(2)##

## \frac{h_1 + h_2 + ... + h_5}{5}=45...(3)##

## \frac{f_1 + m_3 + ... + m_{30}}{29}=35...(4)##

## \frac{m_1 + f_2 + ... + f_{20}}{20}=31....(5)##

## \frac{h_1 + h_2 + ... + h_5 + m_2}{6}= ? ......(6)##

using (3) in (6) i get

## \frac{45*5+m_2}{6}= ? ##

So, if i find ##m_2## , i have the answer.

But cant find a way to do that. :(