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  • Directions for question: The following bar-graph shows the percentage of employees working in different job profiles at M/S SPAN & Associates, a Kolkata based Audit f

Directions for question:

The following bar-graph shows the percentage of employees working in different job profiles at M/S SPAN & Associates, a Kolkata based Audit firm over the three years – 2020, 2021 and 2022. These are the only job profiles available in the company.

Question:

If the number of employees increased by x% in 2021 over 2020 and the number of employees reduced by x% in 2022 over 2020, which of the following can be the value of x so that the number of employees in exactly one job profile is equal over each of the three years given ?

Option: 1

10


Option: 2

20


Option: 3

30


Option: 4

40


Answers (1)

best_answer

If the number of employees in exactly one job profile is to be equal over each of the three years, with an x% increase in total employees from 2020 to 2021 and an x% decrease in total employees from 2021 to 2022, it is quite clear that the job profiles of only the Head of Departments, Managers and Marketing professionals are the ones who can come under scrutiny. 

This is because the base value increases from 2020 to 2021, yet the value of the numbers of the particular profile remains the same, indicating that the percentage of the total employees in 2021 must be less compared to 2020. The opposite reasoning applies for 2021 to 2022.

Only the above mentioned three job profiles satisfy the condition.

Suppose the number of employees in 2020 = 100a.

Hence number of Head of Departments, Managers and Marketing professionals in 2020 are 15a, 12a and 5a respectively

Let x be equal to 10 (first option given).

Then the number of employees in 2021 = 100a*110/100 = 110a

Hence number of Head of Departments, Managers and Marketing professionals in 2018 are 110a*12/100 = 13.2a, 110a*10/100 = 11a and 110a*3/100 = 3.3a respectively.

In no job profile the numbers of employees are equal.

So x ≠ 10.

Let x be equal to 20 (second option given).

Then the number of employees in 2021 = 100a*120/100 = 120a

Hence number of Head of Departments, Managers and Marketing professionals in 2018 are 120a*12/100 = 14.4a, 120a*10/100 = 12a and 120a*3/100 = 3.6a respectively.

In the profile of Managers the numbers of employees are equal in 2020 and 2021.

The number of employees in 2022 = 100a*80/100 = 80a

Hence number of Managers in 2022 are 80a*15/100 = 12a.

So again in the profile of Managers the numbers of employees are equal in 2021 and 2022

So x = 20

Posted by

Gaurav

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