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Question

Consider the following table that presents the details about the percentage distribution of household expenditure of a family on various budget heads during the years 2020 and 2021. The total income of the family in the years 2020 and 2021 was Rs. 50000 and Rs. 75000, respectively. Based on the data in the table, answer the five questions that follow:

Budget Head wise Distribution of Expenditure

Year →

Budget Head ↓

20202021
Entertainment11%9%
Health5%6%
Clothing25%25%
Food19%21%
Travel34%24%
Others6%15%

For which of the following budget heads did the family spend more amount of money in 2021 than they spent in 2020?

A. Health

B. Clothing

C. Travel

Choose the correct answers from options given below:

The correct answer is A, B and C

Analyzing Family Expenditure Data 2020 and 2021

The question asks us to identify which specific budget heads saw an increase in the actual amount of money spent by the family in the year 2021 compared to 2020. We are given the percentage distribution of expenditure across various categories and the total income for both years. To solve this, we need to calculate the absolute amount spent on each budget head for each year and then compare them.

Here is the provided data table showing the percentage distribution of family expenditure:

Budget Head ↓ 2020 2021
Entertainment 11% 9%
Health 5% 6%
Clothing 25% 25%
Food 19% 21%
Travel 34% 24%
Others 6% 15%

The total income for the family was:

  • In 2020: Rs. 50000
  • In 2021: Rs. 75000

We need to calculate the expenditure for the budget heads mentioned in the options: Health, Clothing, and Travel for both years.

Calculating Expenditure on Health

Let's calculate the actual amount spent on Health in 2020 and 2021.

  • Expenditure on Health in 2020: Percentage * Total Income in 2020
  • Amount spent on Health in 2020 = \(5\% \text{ of } 50000 = \frac{5}{100} \times 50000 = 0.05 \times 50000 = 2500\)
  • Expenditure on Health in 2021: Percentage * Total Income in 2021
  • Amount spent on Health in 2021 = \(6\% \text{ of } 75000 = \frac{6}{100} \times 75000 = 0.06 \times 75000 = 4500\)

Comparing the amounts: Rs. 4500 (2021) > Rs. 2500 (2020). So, the expenditure on Health increased.

Calculating Expenditure on Clothing

Now, let's calculate the actual amount spent on Clothing in 2020 and 2021.

  • Expenditure on Clothing in 2020: Percentage * Total Income in 2020
  • Amount spent on Clothing in 2020 = \(25\% \text{ of } 50000 = \frac{25}{100} \times 50000 = 0.25 \times 50000 = 12500\)
  • Expenditure on Clothing in 2021: Percentage * Total Income in 2021
  • Amount spent on Clothing in 2021 = \(25\% \text{ of } 75000 = \frac{25}{100} \times 75000 = 0.25 \times 75000 = 18750\)

Comparing the amounts: Rs. 18750 (2021) > Rs. 12500 (2020). So, the expenditure on Clothing increased.

Calculating Expenditure on Travel

Finally, let's calculate the actual amount spent on Travel in 2020 and 2021.

  • Expenditure on Travel in 2020: Percentage * Total Income in 2020
  • Amount spent on Travel in 2020 = \(34\% \text{ of } 50000 = \frac{34}{100} \times 50000 = 0.34 \times 50000 = 17000\)
  • Expenditure on Travel in 2021: Percentage * Total Income in 2021
  • Amount spent on Travel in 2021 = \(24\% \text{ of } 75000 = \frac{24}{100} \times 75000 = 0.24 \times 75000 = 18000\)

Comparing the amounts: Rs. 18000 (2021) > Rs. 17000 (2020). So, the expenditure on Travel increased.

Summary of Expenditure Comparison (2020 vs 2021)

Budget Head Expenditure in 2020 (Rs.) Expenditure in 2021 (Rs.) Did Expenditure Increase in 2021?
Health 2500 4500 Yes (4500 > 2500)
Clothing 12500 18750 Yes (18750 > 12500)
Travel 17000 18000 Yes (18000 > 17000)

Based on the calculations, the family spent more amount of money in 2021 than in 2020 for all three budget heads listed in the options: Health, Clothing, and Travel.

Therefore, the correct choice includes A (Health), B (Clothing), and C (Travel).

Revision Table: Family Expenditure Analysis

Let's review the calculations for the budget heads considered in the options:

  • Health: 2020: Rs. 2500, 2021: Rs. 4500. Increase.
  • Clothing: 2020: Rs. 12500, 2021: Rs. 18750. Increase.
  • Travel: 2020: Rs. 17000, 2021: Rs. 18000. Increase.

All three showed an increase in actual expenditure despite the percentage for Travel decreasing significantly (from 34% to 24%). This highlights the importance of considering the total income when analyzing percentage distributions of expenditure.

Additional Information: Data Interpretation Tips

When working with data interpretation questions involving percentages and total values, always remember the following:

  • Percentages show proportions, not absolute values.
  • The actual amount represented by a percentage depends on the base value (in this case, total income).
  • An increase in percentage does not automatically mean an increase in the absolute value if the base value decreases.
  • Similarly, a decrease in percentage does not automatically mean a decrease in the absolute value if the base value increases significantly.
  • Always calculate the absolute values when asked to compare amounts or quantities.
  • Organize your calculations clearly, perhaps using a table, to avoid errors.
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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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