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Question

The following table presents the number of employees recruited for five different positions/posts of Administrators, Analysts, Programmers. Testers and Peons (R) in an IT company and those who left (L) the company during the years 2016 - 2021. Based on the data in the table, answer the questions: (Year of foundation of the Company is 2016)

Year-Wise Distribution of Employees

Position

Administrators

Analysts

Programmers

Testers

Peons

Year

R

L

R

L

R

L

R

L

R

L

2016

380

-

600

-

440

-

580

-

410

2017

140

60

136

60

128

52

100

50

92

48

2018

90

46

120

64

120

60

112

52

76

44

2019

74

44

118

48

104

50

124

48

98

40

2020

80

36

128

50

96

56

136

44

112

60

2021

96

48

144

56

124

72

130

46

100

52

The total number of Peons working in the Company at the end of year 2020, is

The correct answer is

596

Calculating Total Employees: Peons at the End of 2020

The question asks us to find the total number of Peons working in the IT Company at the end of the year 2020. To calculate this, we need to consider the number of employees recruited and the number of employees who left each year, starting from the company's foundation year, 2016. The total number of employees at the end of any given year is the total number from the previous year plus the net change in employees during the current year. The net change is calculated as the number of employees recruited minus the number of employees who left in that year.

For the year 2016, since it's the foundation year, the number of employees at the end of the year is simply the number recruited minus those who left in 2016.

Employee Data for Peons (2016-2020)

Let's extract the data for Peons from the provided table for the relevant years:

Year Recruited (R) Left (L) Net Change (R - L)
2016 410 0 \(410 - 0 = 410\)
2017 92 48 \(92 - 48 = 44\)
2018 76 44 \(76 - 44 = 32\)
2019 98 40 \(98 - 40 = 58\)
2020 112 60 \(112 - 60 = 52\)

Step-by-Step Calculation of Total Peons by End of Year

We can now calculate the total number of Peons at the end of each year, accumulating the net change:

  • End of 2016: Starting from zero employees, the number of Peons at the end of 2016 is the net change in 2016. Total Peons (End 2016) = Recruited (2016) - Left (2016) = \(410 - 0 = 410\)
  • End of 2017: Add the net change in 2017 to the total at the end of 2016. Total Peons (End 2017) = Total Peons (End 2016) + Net Change (2017) = \(410 + 44 = 454\)
  • End of 2018: Add the net change in 2018 to the total at the end of 2017. Total Peons (End 2018) = Total Peons (End 2017) + Net Change (2018) = \(454 + 32 = 486\)
  • End of 2019: Add the net change in 2019 to the total at the end of 2018. Total Peons (End 2019) = Total Peons (End 2018) + Net Change (2019) = \(486 + 58 = 544\)
  • End of 2020: Add the net change in 2020 to the total at the end of 2019. Total Peons (End 2020) = Total Peons (End 2019) + Net Change (2020) = \(544 + 52 = 596\)

Alternatively, we can sum the net change for all years from 2016 to 2020 directly: Total Peons (End 2020) = Net Change (2016) + Net Change (2017) + Net Change (2018) + Net Change (2019) + Net Change (2020) Total Peons (End 2020) = \(410 + 44 + 32 + 58 + 52 = 596\)

Conclusion: Total Peons in 2020

Based on the calculations from the provided data, the total number of Peons working in the Company at the end of the year 2020 is 596.

Revision Table: Key Data Points for Peons (2016-2020)

Year Recruited (R) Left (L) Net Change (R - L) Total Peons at End of Year
2016 410 0 410 410
2017 92 48 44 454
2018 76 44 32 486
2019 98 40 58 544
2020 112 60 52 596

Additional Information: Understanding Employee Strength Calculations

When analyzing employee data over multiple years, especially from recruitment and attrition figures, the total workforce at any point in time is dynamic.

  • Net Change: The difference between the number of employees who join (recruited) and those who leave (left) in a specific period. A positive net change means the workforce grew, while a negative net change means it shrunk.
  • Cumulative Total: To find the total number of employees at the end of a period, you must start with the initial number and add the net change for each subsequent period up to the desired endpoint. In this case, the initial number at the start of 2016 is effectively zero, as it's the foundation year, and the employee count starts with those recruited and staying within that year.
  • Year-End Total: The number of employees on the last day of the specified year. This is calculated by summing the net change from the company's beginning up to that year's end.

This method is crucial for understanding the growth or decline of different departments or the company as a whole based on recruitment and attrition data.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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