Question : The following table shows the percentage distribution of employees in five different Departments 1 - 5 in a company during the years 2020 and 2021. The total number of employees in 2020 and 2021 is 1200 and 1600, respectively.

In which department is the variation in strength of employees maximum in 2021 in comparison to that in 2020?

Option 1: Department 1

Option 2: Department 4

Option 3: Department 5

Option 4: Department 2

Correct Answer: Department 5

Solution : Variation in strength of employees in 2021 in comparison to that in 2020:
The number of employees in department 1 in the year 2020 = $\frac{24}{100}\times 1200 = 288 $
The number of employees in department 2 in the year 2020 = $\frac{21}{100}\times 1200 = 252$
The number of employees in department 3 in the year 2020 = $\frac{20}{100}\times 1200 = 240$
The number of employees in department 4 in the year 2020 = $\frac{19}{100}\times 1200 = 228$
The number of employees in department 5 in the year 2020 = $\frac{16}{100}\times 1200 = 192$
The number of employees in department 1 in the year 2022 = $\frac{21}{100}\times 1600 =336$
The number of employees in department 2 in the year 2022 = $\frac{22}{100}\times 1600 =352$
The number of employees in department 3 in the year 2022 = $\frac{18}{100}\times 1600 =288$
The number of employees in department 4 in the year 2022 = $\frac{19}{100}\times 1600 =304$
The number of employees in department 5 in the year 2022 = $\frac{20}{100}\times 1600 =320$
The variation in the strength of employees in 2021 in comparison to that in 2020.
In department 1 = 336 – 288 = 48
In department 2 = 352 – 252 = 100
In department 3 = 288 – 240 = 28
In department 4 = 304 – 228 = 76
In department 5 = 320 – 192 = 128
​​​​​​​Hence, the correct answer is Department 5.