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Question

The following table shows the details about the number of different categories of vehicles sold (in thousands) in a city over the years 2017 - 2021. Based on the data in the table, answer the question:

Year - wise Sale of Vehicles (in thousands)

Year

Vechile Category

HCV

LCV

Car

Jeep

Two - Wheeler

2017

52

128

464

306

680

2018

90

120

484

344

672

2019

144

158

496

420

808

2020

162

186

560

482

822

2021

214

224

532

470

884

HCV : Heavy Commercial Vehicle : LCV : Light Commercial Vehicle

In which year, the number of LCVs sold was approximately 25% of the number of two-wheelers sold?

The correct answer is 2021

Analyzing Vehicle Sales Data

The question asks us to determine the year in which the number of Light Commercial Vehicles (LCVs) sold was approximately 25% of the number of two-wheelers sold, based on the provided table showing vehicle sales data from 2017 to 2021.

Let's first look at the data provided in the table:

Year Vehicle Category HCV LCV Car Jeep Two-Wheeler
2017 Sale (in thousands) 52 128 464 306 680
2018 Sale (in thousands) 90 120 484 344 672
2019 Sale (in thousands) 144 158 496 420 808
2020 Sale (in thousands) 162 186 560 482 822
2021 Sale (in thousands) 214 224 532 470 884

We need to find the year where the ratio of LCV sales to Two-Wheeler sales is approximately 25%. This can be calculated for each year as:

$$ \text{Percentage} = \left( \frac{\text{Number of LCVs sold}}{\text{Number of Two-Wheelers sold}} \right) \times 100\% $$

Let's calculate this percentage for each year listed in the options, and also for other years in the table to be thorough.

Calculating LCV vs Two-Wheeler Sales Percentage by Year

  • For the year 2017:
    LCV sales = 128 thousand
    Two-Wheeler sales = 680 thousand
    Percentage = $$ \left( \frac{128}{680} \right) \times 100\% \approx 0.1882 \times 100\% \approx 18.82\% $$
  • For the year 2018:
    LCV sales = 120 thousand
    Two-Wheeler sales = 672 thousand
    Percentage = $$ \left( \frac{120}{672} \right) \times 100\% \approx 0.1786 \times 100\% \approx 17.86\% $$
  • For the year 2019:
    LCV sales = 158 thousand
    Two-Wheeler sales = 808 thousand
    Percentage = $$ \left( \frac{158}{808} \right) \times 100\% \approx 0.1955 \times 100\% \approx 19.55\% $$
  • For the year 2020:
    LCV sales = 186 thousand
    Two-Wheeler sales = 822 thousand
    Percentage = $$ \left( \frac{186}{822} \right) \times 100\% \approx 0.2263 \times 100\% \approx 22.63\% $$
  • For the year 2021:
    LCV sales = 224 thousand
    Two-Wheeler sales = 884 thousand
    Percentage = $$ \left( \frac{224}{884} \right) \times 100\% \approx 0.2534 \times 100\% \approx 25.34\% $$

Comparing Percentages to 25%

Now let's compare the calculated percentages to the target of approximately 25%:

  • 2017: 18.82% (Not close to 25%)
  • 2018: 17.86% (Not close to 25%)
  • 2019: 19.55% (Not close to 25%)
  • 2020: 22.63% (Closer, but 2021 is even closer)
  • 2021: 25.34% (Very close to 25%)

Based on these calculations, the year 2021 shows the LCV sales as approximately 25.34% of the two-wheeler sales, which is the closest value to 25% among all the years in the table.

Conclusion on Vehicle Sales Data Analysis

Therefore, the number of LCVs sold was approximately 25% of the number of two-wheelers sold in the year 2021.

Revision Table: Vehicle Sales Analysis

Year LCV Sales (thousands) Two-Wheeler Sales (thousands) LCV as % of Two-Wheeler Sales
2017 128 680 18.82%
2018 120 672 17.86%
2019 158 808 19.55%
2020 186 822 22.63%
2021 224 884 25.34%

Additional Information on Data Analysis and Percentages

When analyzing data presented in tables, it's common to calculate ratios and percentages to understand relationships between different categories or changes over time. A percentage is a way of expressing a number as a fraction of 100. The formula for calculating a percentage is:

$$ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\% $$

In this problem, the 'Part' is the number of LCV sales and the 'Whole' is the number of Two-Wheeler sales for a specific year. We calculated this ratio for each year and multiplied by 100 to get the percentage. The term "approximately" in the question indicates that we should look for the value closest to 25%, rather than an exact match.

Understanding how to read tables and perform basic percentage calculations is a fundamental skill in data interpretation and quantitative analysis, often tested in various examinations.

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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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