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Question

Directions: Study the data in the given table and answer the questions that follow

The table below provides data on the percentage (%) distribution of job vacancies in IT companies situated in various indian cities in the year 2009 and 2019, In the year 2009, the total number of vacancies was 5.4 lakhs and in the year 2019, it was 8.6 lakhs.

City

Percentage(%) of Job Vacancies 

2009

2019

 Bangalore

15

22

 Hyderabad 

10

8

Pune

12

6

Mumbai

10

18

Chennai

8

10

NCR

21

20

Other cities

24

16

What is the difference between the number of vacancies available in the city of Bangalore in the year 2019 and 2009?

The correct answer is

108200

Analyzing IT Job Vacancies in Bangalore: 2009 vs 2019

The question asks us to find the difference in the number of job vacancies specifically for the city of Bangalore between the years 2019 and 2009, based on the provided data table.

Understanding the Provided Data

The table gives the percentage distribution of IT job vacancies across various Indian cities for two years, 2009 and 2019. It also provides the total number of vacancies for each of these years.

  • Total vacancies in 2009: 5.4 lakhs
  • Total vacancies in 2019: 8.6 lakhs

Let's look at the percentages for Bangalore from the table:

  • Percentage of vacancies in Bangalore in 2009: 15%
  • Percentage of vacancies in Bangalore in 2019: 22%

Calculating Vacancies in Bangalore for Each Year

To find the actual number of vacancies in Bangalore for each year, we need to multiply the total number of vacancies for that year by the percentage of vacancies allocated to Bangalore in that year.

Vacancies in Bangalore in 2009

The total number of vacancies in 2009 was 5.4 lakhs. We need to find 15% of this total.

First, convert lakhs to a standard number:

\( 5.4 \text{ lakhs} = 5.4 \times 100,000 = 540,000 \)

Now, calculate 15% of 540,000:

\( \text{Vacancies in Bangalore (2009)} = 15\% \text{ of } 540,000 \)

\( \text{Vacancies in Bangalore (2009)} = \frac{15}{100} \times 540,000 \)

\( \text{Vacancies in Bangalore (2009)} = 0.15 \times 540,000 \)

\( \text{Vacancies in Bangalore (2009)} = 81,000 \)

Vacancies in Bangalore in 2019

The total number of vacancies in 2019 was 8.6 lakhs. We need to find 22% of this total.

First, convert lakhs to a standard number:

\( 8.6 \text{ lakhs} = 8.6 \times 100,000 = 860,000 \)

Now, calculate 22% of 860,000:

\( \text{Vacancies in Bangalore (2019)} = 22\% \text{ of } 860,000 \)

\( \text{Vacancies in Bangalore (2019)} = \frac{22}{100} \times 860,000 \)

\( \text{Vacancies in Bangalore (2019)} = 0.22 \times 860,000 \)

\( \text{Vacancies in Bangalore (2019)} = 189,200 \)

Calculating the Difference in Bangalore Vacancies

The question asks for the difference between the number of vacancies in 2019 and 2009. This means we subtract the number of vacancies in 2009 from the number of vacancies in 2019.

\( \text{Difference} = \text{Vacancies in Bangalore (2019)} - \text{Vacancies in Bangalore (2009)} \)

\( \text{Difference} = 189,200 - 81,000 \)

\( \text{Difference} = 108,200 \)

The difference in the number of vacancies available in the city of Bangalore between the year 2019 and 2009 is 108,200.

Summary of Calculations

Year Total Vacancies (lakhs) Total Vacancies Bangalore % Bangalore Vacancies
2009 5.4 540,000 15% 81,000
2019 8.6 860,000 22% 189,200
Difference (2019 - 2009) 108,200

Revision Table: Key Concepts

Concept Explanation
Percentage Distribution Shows how a total quantity is divided among different categories, expressed as a percentage of the total.
Calculating Percentage of a Quantity To find \(x\%\) of a quantity \(Q\), use the formula: \( (\frac{x}{100}) \times Q \).
Difference The result of subtracting one number from another. It indicates how much one quantity differs from another.
'Lakhs' Unit An Indian unit of numbering system equal to 100,000 (one hundred thousand). 1 lakh = 100,000.

Additional Information: Data Interpretation Tips

When working with data tables like this one, focus on understanding:

  • The Table Title and Headings: These tell you what the data represents (e.g., job vacancies, cities, years, percentages).
  • Units: Pay attention to units like '%' and 'lakhs'. Make sure to convert units consistently if necessary for calculations.
  • Total vs. Percentage: Understand the difference between total values and percentage distributions. Percentages show proportions, while total values show the overall size.
  • Specific Questions: Read the question carefully to identify exactly what is being asked (e.g., difference, sum, ratio, value for a specific city or year).

For percentage distribution problems, remember that the percentages for all categories within a single year should ideally add up to 100% (or very close due to rounding). In this table, adding percentages for 2009: 15+10+12+10+8+21+24 = 100%. For 2019: 22+8+6+18+10+20+16 = 100%. This confirms the percentages represent a full distribution.

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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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