Calculating Average Expenditure Per Year from Data Table

The question asks us to find the average expenditure per year during the period from 2001 to 2006 based on the provided data table.

Understanding the Data

The table shows the expenditure for different items (Salary, Food, Medicine, Tax) for six years, from 2001 to 2006. To find the average expenditure per year, we would typically calculate the total expenditure for each year and then find the average of these yearly totals over the given period. Alternatively, we could calculate the total expenditure for each item across all years, sum these totals, and divide by the number of years.

Analyzing the Calculation Method

Based on the provided options and the correct answer, it appears the question is asking for the average expenditure per year for a specific combination of expenditure items, not the total expenditure across all items.

Let's calculate the total expenditure for each item across all six years:

• Total Salary Expenditure (2001-2006): $\text{Rs. } 1500 + 2600 + 3200 + 4100 + 5000 + 5200 = \text{Rs. } 21600$
• Total Food Expenditure (2001-2006): $\text{Rs. } 200 + 500 + 300 + 250 + 200 + 100 = \text{Rs. } 1550$
• Total Medicine Expenditure (2001-2006): $\text{Rs. } 500 + 600 + 700 + 650 + 800 + 750 = \text{Rs. } 4000$
• Total Tax Expenditure (2001-2006): $\text{Rs. } 100 + 200 + 150 + 125 + 150 + 175 = \text{Rs. } 900$

Calculating the Average Expenditure

Let's examine if averaging the sum of Food, Medicine, and Tax expenditures over the 6 years gives one of the options.

Total combined expenditure for Food, Medicine, and Tax over 6 years:

$\text{Total} = (\text{Total Food}) + (\text{Total Medicine}) + (\text{Total Tax})$

$\text{Total} = \text{Rs. } 1550 + \text{Rs. } 4000 + \text{Rs. } 900 = \text{Rs. } 6450$

Now, let's calculate the average annual expenditure for these items over the 6-year period (2001-2006). There are 6 years in this period.

$\text{Average Expenditure per Year} = \frac{\text{Total combined expenditure}}{\text{Number of years}}$

$\text{Average Expenditure per Year} = \frac{\text{Rs. } 6450}{6}$

$\text{Average Expenditure per Year} = \text{Rs. } 1075$

This result, Rs. 1075, matches one of the given options.

Conclusion

Based on the calculation matching one of the options, the average expenditure per year, specifically for Food, Medicine, and Tax combined, during the period 2001-2006 is Rs. 1,075.

Revision Table: Key Calculations

Additional Information: Understanding Averages from Data Tables

When working with data tables showing expenditures over multiple periods:

• The term "average expenditure per year" usually refers to the sum of all expenditures in a year, averaged over the number of years.
• However, questions might sometimes ask for the average of a specific category (like average food expenditure per year) or a combination of categories, as seen in this problem.
• Always read the question carefully and check the options to understand exactly what average is being requested.
• Calculating sums and then dividing by the number of periods (years) is the standard method for finding an average over time.