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Question

The following table shows the expenditure of a family from the year 2020 to 2022. What is the average amount of expenses on interest on loans in this period of time?

ItemsExpenditure (in Rs.)
Year 2020Year 2021Year 2022
Food98007650070000
Transportation200002200018000
Fees100000115000120000
Interest on loans8600096000100000

The correct answer is

Rs. 94,000

The question asks for the average amount of expenses on interest on loans for the given family over the years 2020, 2021, and 2022. To find the average, we need to sum up the expenditure on interest on loans for each year and then divide by the number of years, which is 3.

Analysing Family Expenditure Data

First, let's identify the expenditure on 'Interest on loans' for each specific year from the provided table:

  • Expenditure in 2020: Rs. 86,000
  • Expenditure in 2021: Rs. 96,000
  • Expenditure in 2022: Rs. 100,000

Calculating Average Expenditure on Interest on Loans

The formula for calculating the average is:

$\text{Average} = \frac{\text{Sum of all values}}{\text{Number of values}}$

In this case, the values are the expenditures on interest on loans for the three years.

Sum of expenditures = Expenditure in 2020 + Expenditure in 2021 + Expenditure in 2022

Sum of expenditures = Rs. 86,000 + Rs. 96,000 + Rs. 100,000

Sum of expenditures = Rs. 282,000

Now, we calculate the average by dividing the sum by the number of years (3):

Average expenditure on interest on loans = $\frac{\text{Sum of expenditures}}{\text{Number of years}}$

Average expenditure on interest on loans = $\frac{Rs. 282,000}{3}$

Average expenditure on interest on loans = Rs. 94,000

Final Average Amount

The average amount of expenses on interest on loans in this period (2020-2022) is Rs. 94,000.

Comparing with Options

Let's compare our calculated average with the given options:

  • Option 1: Rs. 96,000
  • Option 2: Rs. 94,000
  • Option 3: Rs. 90,000
  • Option 4: Rs. 1,00,000

Our calculated average, Rs. 94,000, matches Option 2.

Revision Table: Average Calculation Steps

Step Description Calculation Result
1 Identify relevant expenditures Interest on loans for 2020, 2021, 2022 Rs. 86,000, Rs. 96,000, Rs. 100,000
2 Calculate the sum Sum of expenditures $86000 + 96000 + 100000 = 282000$
3 Identify the number of years Number of years 3
4 Calculate the average Sum / Number of years $\frac{282000}{3} = 94000$

Additional Information: Understanding Average and Expenditure

The average is a measure of central tendency. It gives us a single value that represents a typical amount in a set of data. In this case, the average expenditure on interest on loans tells us the typical yearly spending on this item over the three-year period.

Expenditure refers to the amount of money spent. Analyzing expenditure helps individuals or families understand where their money is going, which is crucial for budgeting and financial planning.

Calculating averages from tables like this is a common way to simplify data and identify trends or typical values over time or across different categories.

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Important Questions from Tabulation

  1. 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

    38000

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    By what percent are the Arrears of Amit and Suresh taken together less than the Arrears of Nitin and Varun taken together?
  2. The table given below shows the GDP of two countries in different five years.

    Country
    YearsAB
    Y1175285
    Y2200300
    Y3150125
    Y47585
    Y55095

    K1 = The value of average GDP of country A in all the 5 years.

    K2 = The value of average GDP of country B in all the 5 years.

    What is the value of (K1 + K2)?

  3. Study the Table Properly and answer by interpreting the data

    The table shows the percentage population of five districts in a state below poverty line and the proportion of males and females.

    DistrictPercentage of population
    below poverty level
    Proportion of Male and Female 
    Below poverty line (M:F)Above poverty Line (M:F)
    D1152 : 33 : 2
    D2183 : 47 : 5
    D3202 : 53 : 4
    D4255 : 24 : 3
    D5123 : 72 : 7

    If the total population in the district D3 is 40,000, then what is the population of below poverty line in the district D3, ?

  4. The table given below shows the marks obtained by 4 students in 5 subjects. The maximum marks of each subject is 100.

    Subjects

    Students

    P1

    P2

    P3

    P4

    S1

    89

    100

    92

    91

    S2

    62

    52

    72

    37

    S3

    57

    55

    70

    65

    S4

    76

    85

    76

    58

    S5

    85

    70

    66

    62

    What is the total percent marks of P4?

  5. The data given below shows the number of people who have saved a certain amount of money.

    Savings

    (in Rs.)

    Number of people

    5

    1

    15

    3

    20

    4

    25

    2

    30

    1

    35

    1

    40

    2

    What is the mode of the given data?

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