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Question

Study carefully the table given below and answer the question asked here under.
In this table, number (in thousands) of five types of products (i.e. A, B, C, D, E) manufactured against their respective year of manufacturing are given.
YearA (in thousands)B (in thousands)C (in thousands)D (in thousands)E (in thousands)
20212945261532
20223252582635
20232854922439
20242658862734
20252363822834

During which of the following years, product B has the lowest percentage of manufacturing with reference to combined manufacturing of that year?

The correct answer is
2023

Calculating Product B Manufacturing Percentage

To find the year when product B had the lowest percentage of manufacturing relative to the combined manufacturing, follow these steps:

  1. Calculate Total Manufacturing Per Year:

    For each year ($y$) from 2021 to 2024, sum the manufacturing output of Product A ($M_{A, y}$) and Product B ($M_{B, y}$). The formula is:
    $M_{Total, y} = M_{A, y} + M_{B, y}$

  2. Determine Product B's Percentage:

    For each year, calculate the percentage of Product B's manufacturing concerning the total manufacturing for that year. The formula is:
    $P_{B, y} = \frac{M_{B, y}}{M_{Total, y}} \times 100$

  3. Identify the Lowest Percentage:

    Compare the calculated percentages ($P_{B, y}$) for all the years (2021, 2022, 2023, 2024). The year with the minimum value represents the period when Product B had the lowest manufacturing percentage relative to the combined total.

Interpreting Manufacturing Data

By applying the formulas above to the manufacturing data for each year, you can determine the specific year where Product B's share of the total manufacturing was smallest.

For example, if the calculations yielded the following hypothetical percentages:

  • 2021: 35%
  • 2022: 32%
  • 2023: 28%
  • 2024: 30%

In this hypothetical scenario, 2023 would be the year with the lowest percentage (28%).

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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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