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Question

Direction: The following table presents the data on the number of vehicles of three different types (A, B and C) produced by a company during seven different years from 2012 to 2018. Based on the data in the table, answer the questions 1 - 5:

Year-Wise production of three types of vehicles

Vehicle

Year

A - Type

B - Type

C - Type

2012

5000

20000

15000

2013

15,000

10000

22500

2014

10,000

15000

30000

2015

17,500

15000

23000

2016

25,000

20,000

15000

2017

13,000

25,000

20000

2018

30,000

35,000

25000

The number of A - type vehicles produced in the year 2014 was what percent (%) of the number of C-type vehicles produced in the year 2018?

The correct answer is

40%

Understanding the Vehicle Production Data

The question asks us to compare the production of two specific types of vehicles from the provided table: Type A vehicles in 2014 and Type C vehicles in 2018. We need to find out what percentage the number of A-type vehicles in 2014 is of the number of C-type vehicles in 2018.

Extracting Relevant Data from the Table

Let's locate the required data points from the given Year-Wise production table:

  • Number of A-type vehicles produced in the year 2014.
  • Number of C-type vehicles produced in the year 2018.
Year-Wise Production of Three Types of Vehicles
Year A - Type B - Type C - Type
2012 5000 20000 15000
2013 15000 10000 22500
2014 10000 15000 30000
2015 17500 15000 23000
2016 25000 20000 15000
2017 13000 25000 20000
2018 30000 35000 25000

From the table, we find:

  • Production of A-type vehicles in 2014 = 10,000
  • Production of C-type vehicles in 2018 = 25,000

Calculating the Percentage

To find what percentage the number of A-type vehicles produced in 2014 was of the number of C-type vehicles produced in 2018, we use the formula:

$$ \text{Percentage} = \left( \frac{\text{Number of A-type vehicles in 2014}}{\text{Number of C-type vehicles in 2018}} \right) \times 100 $$

Now, let's plug in the values we extracted:

$$ \text{Percentage} = \left( \frac{10000}{25000} \right) \times 100 $$

Simplify the fraction:

$$ \text{Percentage} = \left( \frac{10}{25} \right) \times 100 $$

$$ \text{Percentage} = \left( \frac{2}{5} \right) \times 100 $$

Perform the multiplication:

$$ \text{Percentage} = 0.4 \times 100 $$

$$ \text{Percentage} = 40 $$

So, the number of A-type vehicles produced in the year 2014 was 40% of the number of C-type vehicles produced in the year 2018.

Conclusion on Vehicle Production Percentage

Based on the data interpretation and calculation, the number of A-type vehicles produced in 2014 is 40% of the number of C-type vehicles produced in 2018.

Revision Table: Key Data Points

Vehicle Type & Year Production Number
A-type in 2014 10,000
C-type in 2018 25,000
Calculation Basis (A-type 2014 / C-type 2018) * 100

Additional Information: Data Interpretation Skills

Solving questions like this involves essential data interpretation skills. These include:

  • Carefully reading the question to understand what is being asked.
  • Locating the correct data points within the provided table or chart.
  • Performing the required mathematical operations (like calculating percentages, averages, ratios, etc.) accurately.
  • Understanding the relationship between different data points.
  • Presenting the final answer clearly.

Practice with different types of tables and charts (like bar graphs, pie charts, line graphs) helps improve these skills significantly 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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