But at the same time there is also increement of One Employee in HR (but there is no decreement in any other department )

Please Explain.

go_editor
asked
in Data Interpretation
Nov 30, 2015
recategorized
Mar 28, 2022
by Lakshman Patel RJIT

2,591 views
4 votes

**Answer the following question based on the information given below.**

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.

Department | Number of Employees | Average Age (years) | Average Basic Pay (Rs) | Allowances (% of Basic Pay) |

HR | 5 | 45 | 5000 | 70 |

Marketing | 30 | 35 | 6000 | 80 |

Finance | 20 | 30 | 6500 | 60 |

Business Development | 35 | 42 | 7500 | 75 |

Maintenance | 10 | 35 | 5500 | 50 |

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

7 votes

Best answer

Since the average age of finance department increased by $1$, the total age became $31*20=620.$

Initially total age $= 30*20=600.$

Therefore there is a net increase of age by $20$ years. Hence the decrease in total age of Marketting department will be also $20.$ But since average age of marketing department is not changed , therefore-

total age after transfer from marketting to HR dept $= 29*35=1015.$

Initial total $= 30*35=1050.$

Decrease in total due to transfer from marketing to Finance dept $=20$. But total has to be maintained at $1015.$

Therefore HR dept age total must have been increased by $35-20=15.$

Hence new average of HR $= 45*5+15=240.$

Average $ = \frac{240}{6} = 40$

Answer$: \text{C}$

Initially total age $= 30*20=600.$

Therefore there is a net increase of age by $20$ years. Hence the decrease in total age of Marketting department will be also $20.$ But since average age of marketing department is not changed , therefore-

total age after transfer from marketting to HR dept $= 29*35=1015.$

Initial total $= 30*35=1050.$

Decrease in total due to transfer from marketing to Finance dept $=20$. But total has to be maintained at $1015.$

Therefore HR dept age total must have been increased by $35-20=15.$

Hence new average of HR $= 45*5+15=240.$

Average $ = \frac{240}{6} = 40$

Answer$: \text{C}$

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simultaneously exchange between marketing and finance department so that finance department its avg age increase 1 year and marketing dept. 20 years decrease from its total sum years (but both dept have same no. of employees). After that 1 employee transfer from marketing to HR dept.Now marketing dept have 29 employees and its avg age remain unchanged.

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