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Question

The following table shows the number of employees in an organization in five different Cities-Delhi, Mumbai, Bangaluru, Hydrabad and Gurgaon with total number of employees being 4260 in the organization, along with the percentage (%) distribution of employees working in four departments - HR, Finance, IT and Accounts. Based on the data in the table answer the questions that follows.

City - wise details of Employees in an Organization

City

Numbers of Employees

Percentage (%) Distribution of Employees in

HR

Finance

IT

Accounts

Delhi

900

-

18%

-

28%

Mumbai

760

15%

-

30%

-

Bengaluru

-

18%

20%

-

32%

Hydrabad

-

-

25%

18%

35%

Gurgaon

700

20%

22%

-

20%

Note: 1. Some values are missing in the table (marked as ' - ') that you are expected to calculate if required.

2. Each employee works in only one department.

What is the total number of employees in Mumbai and Gurgaon who work in IT department?

The correct answer is

494

Understanding the Employee Data

The question provides a table showing the number of employees in an organization across five cities: Delhi, Mumbai, Bengaluru, Hyderabad, and Gurgaon. It also gives the percentage distribution of employees within four departments: HR, Finance, IT, and Accounts for each city. Some values are missing and need to be calculated. The total number of employees in the organization is 4260, but this total is not directly needed to answer this specific question, which focuses only on employees in Mumbai and Gurgaon.

The task is to find the total number of employees working in the IT department in Mumbai and Gurgaon combined.

Analyzing the Data Table for Mumbai and Gurgaon

Let's look at the relevant parts of the table for Mumbai and Gurgaon:

City Numbers of Employees Percentage (%) Distribution of Employees in
HR Finance IT Accounts
Mumbai 760 15% - 30% -
Gurgaon 700 20% 22% - 20%

For Mumbai, the total number of employees is 760. The percentage of employees in the IT department is directly given as 30%.

For Gurgaon, the total number of employees is 700. The percentage of employees in the IT department is missing ('-'). We are given the percentages for HR (20%), Finance (22%), and Accounts (20%). Since each employee works in only one department, the sum of percentages for all departments in a city must be 100%.

Step-by-Step Calculation of IT Employees

Calculating IT Employees in Mumbai

The total number of employees in Mumbai is 760.

The percentage of employees in the IT department in Mumbai is 30%.

Number of IT employees in Mumbai = Total employees in Mumbai × Percentage of IT employees in Mumbai

Number of IT employees in Mumbai = $760 \times 30\%$

Number of IT employees in Mumbai = $760 \times \frac{30}{100}$

Number of IT employees in Mumbai = $76 \times 3 = 228$

So, there are 228 employees in the IT department in Mumbai.

Calculating IT Employees in Gurgaon

The total number of employees in Gurgaon is 700.

The percentages for HR, Finance, and Accounts in Gurgaon are 20%, 22%, and 20% respectively.

The sum of known percentages = Percentage in HR + Percentage in Finance + Percentage in Accounts

Sum of known percentages = $20\% + 22\% + 20\% = 62\%$

The percentage of employees in the IT department in Gurgaon is the remaining percentage to reach 100%.

Percentage of IT employees in Gurgaon = $100\% - \text{Sum of known percentages}$

Percentage of IT employees in Gurgaon = $100\% - 62\% = 38\%$

Now, we calculate the number of IT employees in Gurgaon:

Number of IT employees in Gurgaon = Total employees in Gurgaon × Percentage of IT employees in Gurgaon

Number of IT employees in Gurgaon = $700 \times 38\%$

Number of IT employees in Gurgaon = $700 \times \frac{38}{100}$

Number of IT employees in Gurgaon = $7 \times 38 = 266$

So, there are 266 employees in the IT department in Gurgaon.

Calculating Total IT Employees in Mumbai and Gurgaon

To find the total number of employees in Mumbai and Gurgaon who work in the IT department, we add the number of IT employees from both cities.

Total IT employees = IT employees in Mumbai + IT employees in Gurgaon

Total IT employees = $228 + 266$

Total IT employees = $494$

Final Answer

The total number of employees in Mumbai and Gurgaon who work in the IT department is 494.

Revision Table: Key Concepts and Calculations

Concept Application in this Problem Formula/Method
Percentage Calculation Finding the number of employees from total number and percentage. Number = Total × $\frac{\text{Percentage}}{100}$
Finding Missing Percentage Determining the IT percentage in Gurgaon. Missing % = $100\%$ - Sum of known percentages
Aggregation Summing employees from two different cities. Total = Value 1 + Value 2

Additional Information: Data Interpretation Skills

This question is an example of data interpretation based on tables. Such questions often require calculating values from percentages or finding missing data points based on given totals or sums. Key skills needed include:

  • Carefully reading the table and understanding the data presented.
  • Identifying the specific information required by the question.
  • Understanding the relationship between total values and percentage distributions.
  • Performing basic arithmetic operations (multiplication, addition, subtraction) accurately.
  • Calculating missing values when necessary, often using the fact that percentages for departments in a city sum up to 100%.

Practice with different types of tables and charts helps improve data interpretation skills for exams.

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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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