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:
Between 2020 and 2022, if the number of employees in the company increases by 10% every year over the previous year, what is the approximate difference in percentage points in the percentage change in the number of Head of Departments between 2020 and 2022 and the percentage change in the number of Managers between 2020 and 2022 ?
32.4
29.1
22.2
18.4
Let the number of employees in 2017 be 1000.
Therefore, the number of employees in 2018 is 1100.
Also the number of employees in 2019 is 1210.
Hence we have:
2020 |
2021 |
% change |
|
Number of employees |
1000 |
1210 |
|
Head of departments |
15% of 1000 = 150 |
16% of 1210 = 193.6 |
(193.6–150)*100/150 = 29.07% |
Managers |
12% of 1000 = 120 |
15% 0f 1210 = 181.5 |
(181.5–120)*100/120 = 51.25% |
Therefore, the required percentage point difference = 51.25% – 29.07% = 22.2%.