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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. 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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