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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

If the number of vacancies in the city of Pune is 48000 in the year 2019 and the percentage distribution is the same as given in the table. then what is the number of vacancies available in NCR in 2019?

The correct answer is

1.6 lakhs

Understanding the IT Job Vacancy Data

The provided table shows the percentage distribution of IT job vacancies across various Indian cities for the years 2009 and 2019. We are also given the total number of vacancies for each year in the introductory text (5.4 lakhs for 2009 and 8.6 lakhs for 2019). However, the specific question asks us to calculate the number of vacancies in NCR in 2019 under a different condition: if the number of vacancies in Pune in 2019 was 48000, assuming the percentage distribution for 2019 remains as given in the table.

City Percentage (%) of Job Vacancies 2009 Percentage (%) of Job Vacancies 2019
Bangalore 15 22
Hyderabad 10 8
Pune 12 6
Mumbai 10 18
Chennai 8 10
NCR 21 20
Other cities 24 16

Analyzing the Given Information for 2019

We are given two key pieces of information related to the year 2019:

  • The percentage of job vacancies in Pune in 2019, according to the table, is 6%.
  • The actual number of job vacancies in Pune in 2019, according to the specific condition in the question, is 48000.

This means that 6% of the total number of IT job vacancies in 2019 (under this specific condition) is equal to 48000. We can use this relationship to find the actual total number of IT job vacancies in 2019.

Calculating Total Vacancies in 2019 Based on Pune Data

Let \( T \) be the total number of IT job vacancies in 2019. We know that 6% of \( T \) is 48000. We can write this as an equation:

\( 6\% \text{ of } T = 48000 \)

To solve for \( T \), we convert the percentage to a decimal:

\( 0.06 \times T = 48000 \)

Now, divide both sides by 0.06 to find \( T \):

\( T = \frac{48000}{0.06} \)

\( T = \frac{48000 \times 100}{6} \)

\( T = \frac{4800000}{6} \)

\( T = 800000 \)

So, under the condition given in the question, the total number of IT job vacancies in 2019 is 800000.

Calculating Vacancies in NCR in 2019

Now that we have the total number of vacancies for 2019 (which is 800000), we can find the number of vacancies in NCR. According to the table, the percentage of job vacancies in NCR in 2019 is 20%.

The number of vacancies in NCR is 20% of the total vacancies (800000).

Number of vacancies in NCR = \( 20\% \text{ of } 800000 \)

Convert the percentage to a decimal:

Number of vacancies in NCR = \( 0.20 \times 800000 \)

Number of vacancies in NCR = \( 160000 \)

Converting the Result to Lakhs

The options are given in lakhs. One lakh is equal to 100,000.

To convert 160000 to lakhs, divide by 100,000:

Number of vacancies in NCR in lakhs = \( \frac{160000}{100000} \)

Number of vacancies in NCR in lakhs = \( 1.6 \text{ lakhs} \)

Thus, the number of vacancies available in NCR in 2019, under the given condition, is 1.6 lakhs.

Revision Table: Key Calculations for 2019 Vacancies

Item Value / Calculation
Pune Vacancies (Given) 48000
Pune Percentage (from table) 6%
Total Vacancies in 2019 (Calculated) \( \frac{48000}{0.06} = 800000 \)
NCR Percentage (from table) 20%
NCR Vacancies (Calculated) \( 0.20 \times 800000 = 160000 \)
NCR Vacancies in Lakhs \( \frac{160000}{100000} = 1.6 \) lakhs

Additional Information: Percentage Concepts

Understanding percentages is crucial for data interpretation questions like this one. Here are some related concepts:

  • Percentage Definition: A percentage is a number or ratio expressed as a fraction of 100. The symbol '%' is used to indicate a percentage.
  • Calculating a Percentage of a Number: To find \( P\% \) of a number \( N \), you can calculate \( (\frac{P}{100}) \times N \) or \( P_{\text{decimal}} \times N \). In our case, finding 20% of 800000 was \( 0.20 \times 800000 \).
  • Finding the Total from a Percentage and Part: If you know that a part of a whole represents a certain percentage, you can find the total. If \( P\% \) of Total is Part, then \( \frac{P}{100} \times \text{Total} = \text{Part} \). This means \( \text{Total} = \frac{\text{Part}}{P\%} = \frac{\text{Part}}{(P/100)} \). We used this when we calculated the total vacancies from the Pune data: \( \text{Total} = \frac{48000}{6\%} = \frac{48000}{0.06} \).
  • Data Interpretation: This involves analyzing and understanding data presented in various formats like tables, charts, and graphs to answer specific questions or draw conclusions. It requires careful reading and calculation skills.
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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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