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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

Manufacturing of product C in the year 2023 was approximately what percent of the total production of product B in years 2022 and 2024 together?

The correct answer is
84 %

Manufacturing Production Percentage Calculation

The question asks to find the manufacturing percentage of product C in 2023 relative to the combined production of product B in the years 2022 and 2024.

Identify Required Data

  • Production of product C in 2023 (Let's denote this as P_{C, 2023}$).
  • Production of product B in 2022 (Let's denote this as P_{B, 2022}$).
  • Production of product B in 2024 (Let's denote this as P_{B, 2024}$).

Calculation Formula

The percentage is calculated using the formula:

Percentage = \( \frac{P_{C, 2023}}{P_{B, 2022} + P_{B, 2024}} \times 100\% \)

Step-by-Step Calculation

  1. Sum Product B Production: Add the production figures for product B in 2022 and 2024.
    Total B Production = \( P_{B, 2022} + P_{B, 2024} \)
  2. Calculate Ratio: Divide the production of product C in 2023 by the total production of product B calculated in the previous step.
    Ratio = \( \frac{P_{C, 2023}}{\text{Total B Production}} \)
  3. Convert to Percentage: Multiply the ratio by 100 to express it as a percentage.
    Percentage = \( \text{Ratio} \times 100\% \)

Result Interpretation

Assuming hypothetical values that lead to the correct answer:

  • Let \( P_{C, 2023} = 840 \) units.
  • Let \( P_{B, 2022} = 500 \) units and \( P_{B, 2024} = 500 \) units.
  • Total B Production = \( 500 + 500 = 1000 \) units.
  • Percentage = \( \frac{840}{1000} \times 100\% = 0.84 \times 100\% = 84\% \).

Therefore, the manufacturing of product C in 2023 was approximately 84% of the total production of product B in 2022 and 2024 combined.

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Important Questions from Tabulation

  1. An object is placed beyond the centre of curvature (C) of a concave mirror. The image formed will be now:
  2. Directions: 

    Using the data from the graph answer the question below: 

    Find the total number of males from sector P and females from sector R together. 

    Ratio of number of male and female employees

     MaleFemale
    P67
    Q59
    R98
    S78
    T35
  3. Directions: 

    Using the data from the graph answer the question below: 

    Number of Employees working in 5 different sector: 

    Find the number of males from sector Q.

     Ratio of number of male and female employees:

     MaleFemale
    P67
    Q59
    R98
    S78
    T35

     

  4. Directions: 

    Using the data from the graph answer the question below: 

    Find the ratio between number of males from the sector T to number of females from the sector S.

  5. Directions: 

    Using the data from the graph answer the question below: 

    Find the total number of males from sector Q and females from sector P together.

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