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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 pooled sum of the total number of employees working for all the five positions in the company at the end of the year 2018 is

The correct answer is

2988

Calculating the Pooled Sum of Employees at the End of 2018

This question asks for the total number of employees across all five positions in the IT company at the end of the year 2018. The table provides data on the number of employees recruited (R) and those who left (L) each year from 2016 to 2021 for Administrators, Analysts, Programmers, Testers, and Peons. Since the company started in 2016, the number of employees at the beginning of 2016 was zero.

Understanding Employee Count at Year End

The number of employees for a specific position at the end of a given year can be calculated by taking the number of employees at the end of the previous year, adding the number recruited during the current year, and subtracting the number who left during the current year.

Mathematically, for a specific position 'pos' and year 'Y':

Employee Count at End of Year Y = Employee Count at End of Year (Y-1) + Recruited in Year Y - Left in Year Y

For the first year (2016), the count is simply the number recruited minus the number who left, as the count at the end of 2015 was 0.

Employee Count at End of Year 2016 = Recruited in 2016 - Left in 2016

Step-by-Step Calculation for Each Position up to the End of 2018

We will calculate the number of employees for each position year by year, starting from 2016, and accumulate the numbers until the end of 2018.

Position End of 2016 (R - L) End of 2017 (End 2016 + R$_{2017}$ - L$_{2017}$) End of 2018 (End 2017 + R$_{2018}$ - L$_{2018}$)
Administrators $380 - 0 = 380$ $380 + 140 - 60 = 460$ $460 + 90 - 46 = 504$
Analysts $600 - 0 = 600$ $600 + 136 - 60 = 676$ $676 + 120 - 64 = 732$
Programmers $440 - 0 = 440$ $440 + 128 - 52 = 516$ $516 + 120 - 60 = 576$
Testers $580 - 0 = 580$ $580 + 100 - 50 = 630$ $630 + 112 - 52 = 690$
Peons (R) $410 - 0 = 410$ $410 + 92 - 48 = 454$ $454 + 76 - 44 = 486$

Calculating the Pooled Sum at the End of 2018

The pooled sum of the total number of employees working for all five positions at the end of the year 2018 is the sum of the employee counts for each position at the end of 2018.

Pooled Sum = Employees (Administrators) + Employees (Analysts) + Employees (Programmers) + Employees (Testers) + Employees (Peons)

Pooled Sum = $504 + 732 + 576 + 690 + 486$

Let's add these values:

  • $504 + 732 = 1236$
  • $1236 + 576 = 1812$
  • $1812 + 690 = 2502$
  • $2502 + 486 = 2988$

The total pooled sum of employees at the end of 2018 is 2988.

Revision Table: Employee Count Calculation and Pooled Sum

Here is a summary of the employee counts for each position at the end of 2018:

Position Employees at End of 2018
Administrators 504
Analysts 732
Programmers 576
Testers 690
Peons (R) 486

Total Pooled Sum = $504 + 732 + 576 + 690 + 486 = 2988$

Additional Information: Data Interpretation and Employee Dynamics

This problem involves interpreting data presented in a table format. The key is to understand that the number of employees at the end of a period depends on the starting number, additions (recruitment), and subtractions (employees leaving). Cumulative calculation is necessary to track the employee count over multiple years. This type of analysis helps companies understand workforce size trends, recruitment needs, and retention challenges over time for different positions.

  • The 'R' column represents employees joining the company in that year.
  • The 'L' column represents employees leaving the company in that year.
  • The net change in employee count each year is 'R' minus 'L'.
  • The total number of employees at any point is the sum of all net changes from the company's foundation until that point.
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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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