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Question

The following table shows the Income (in Rs. lakh) and percentage (%) profit of a company over the six years from 2017 to 2022. Based on the data in the table, answer the questions that follow.

Year-wise Income and Profit of a Company

YearIncome (in Rs. Lakh)Profit (%)
20171207.5
201816015
201913022.5
202017017.5
202119020
202215027.5

The positive increase in percent profit in comparison to the previous year was minimum in the year

The correct answer is

2021

Analyzing Company Profit Percentage Increase

The question asks to find the year where the positive increase in percent profit, compared to the previous year, was minimum. We are provided with a table showing the income and percentage profit of a company over six years from 2017 to 2022. To answer this, we need to calculate the year-on-year change in the profit percentage and then identify the smallest positive change.

Here is the provided data table:

Year Income (in Rs. Lakh) Profit (%)
2017 120 7.5
2018 160 15
2019 130 22.5
2020 170 17.5
2021 190 20
2022 150 27.5

Calculating Year-on-Year Profit Percentage Change

To find the increase in percent profit compared to the previous year, we subtract the previous year's profit percentage from the current year's profit percentage. We need to do this for each year starting from 2018.

  • For the year 2018:

    Change in profit % = Profit % in 2018 - Profit % in 2017 $$ = 15 - 7.5 = 7.5$$ This is a positive increase of 7.5 percentage points.

  • For the year 2019:

    Change in profit % = Profit % in 2019 - Profit % in 2018 $$ = 22.5 - 15 = 7.5$$ This is a positive increase of 7.5 percentage points.

  • For the year 2020:

    Change in profit % = Profit % in 2020 - Profit % in 2019 $$ = 17.5 - 22.5 = -5$$ This is a decrease of 5 percentage points, not a positive increase.

  • For the year 2021:

    Change in profit % = Profit % in 2021 - Profit % in 2020 $$ = 20 - 17.5 = 2.5$$ This is a positive increase of 2.5 percentage points.

  • For the year 2022:

    Change in profit % = Profit % in 2022 - Profit % in 2021 $$ = 27.5 - 20 = 7.5$$ This is a positive increase of 7.5 percentage points.

Identifying the Minimum Positive Increase in Profit Percentage

Now, we look at the years that had a positive increase in percent profit compared to the previous year. These years are 2018, 2019, 2021, and 2022.

The positive increases calculated are:

  • Year 2018: +7.5
  • Year 2019: +7.5
  • Year 2021: +2.5
  • Year 2022: +7.5

Comparing these positive values (7.5, 7.5, 2.5, 7.5), the minimum positive increase is 2.5. This minimum positive increase occurred in the year 2021.

Conclusion

Based on the calculations, the positive increase in percent profit in comparison to the previous year was minimum in the year 2021.

Revision Table - Profit Percentage Analysis

Year Profit (%) Change from Previous Year (%) Is Change Positive?
2017 7.5 - -
2018 15 $15 - 7.5 = +7.5$ Yes
2019 22.5 $22.5 - 15 = +7.5$ Yes
2020 17.5 $17.5 - 22.5 = -5$ No
2021 20 $20 - 17.5 = +2.5$ Yes
2022 27.5 $27.5 - 20 = +7.5$ Yes

Comparing the positive changes: 7.5, 7.5, 2.5, 7.5. The minimum positive change is 2.5, which corresponds to the year 2021.

Additional Information - Data Interpretation Skills

Data interpretation questions often require analyzing tables, graphs, or charts to extract specific information and perform calculations. Key skills for solving such problems include:

  • Carefully reading the question to understand what is being asked.
  • Identifying the relevant data points in the table or graph.
  • Performing calculations accurately (like differences, percentages, ratios, averages).
  • Comparing values to find minimums, maximums, or trends.
  • Understanding the units and context of the data (e.g., Rs. Lakh, percentage points).
  • Avoiding common errors like misreading data or calculation mistakes.

Practice with different types of data representations (tables, bar graphs, line graphs, pie charts) helps improve data interpretation skills for competitive 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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