Instructions

Directions for following three questions: Answer the following questions 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.

There are limited numbers 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.

Questions below are independent of each other.

Question 49

# 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?

Solution

Let the age of an employee which were mutual transfer between Marketing and Finance departments be x(M to F) and y also age of one employee transfeered from Marketing to HR be z.

As a result, the average age of finance department increased by one year , so we have (30*20-x+y)/20 = 31 and that of Marketing department remained the same so we have (35*30+y-z-x)/29 = 35.

Solving both we have z = 15.

So new average age of HR department is (45*5 + 15)/6 = 40

Hence option C.

• All Quant CAT complete Formulas and shortcuts PDF
• 35+ CAT previous year papers with video solutions PDF