3. Monthly budget of a family having a monthly income of [tex]₹ 36000[/tex] is given below:

\begin{tabular}{|l|c|}
\hline
Items & Expenditure (in ₹) \\
\hline
Food & 9000 \\
Rent & 8000 \\
Clothing & 6000 \\
Insurance and other savings & 5000 \\
Education & 4000 \\
Miscellaneous & 4000 \\
\hline
Total & 36000 \\
\hline
\end{tabular}

Draw a pie chart for the above data.



Answer :

To draw a pie chart for the provided monthly budget data, we need to represent each expenditure category's proportion of the total income.

First, we'll calculate the percentage of the total income that each expenditure category represents. Here's the breakdown step-by-step:

### Step-by-Step Calculation:

1. Total Monthly Income: ₹36,000

2. Expenditure Categories and Amounts:
- Food: ₹9,000
- Rent: ₹8,000
- Clothing: ₹6,000
- Insurance and other savings: ₹5,000
- Education: ₹4,000
- Miscellaneous: ₹4,000

3. Calculate Percentages:
- Percentage for Food = (Amount for Food / Total Monthly Income) × 100
= (₹9,000 / ₹36,000) × 100
= 25%

- Percentage for Rent = (Amount for Rent / Total Monthly Income) × 100
= (₹8,000 / ₹36,000) × 100
= 22.22% (approximately)

- Percentage for Clothing = (Amount for Clothing / Total Monthly Income) × 100
= (₹6,000 / ₹36,000) × 100
= 16.67% (approximately)

- Percentage for Insurance and other savings = (Amount for Insurance and other savings / Total Monthly Income) × 100
= (₹5,000 / ₹36,000) × 100
= 13.89% (approximately)

- Percentage for Education = (Amount for Education / Total Monthly Income) × 100
= (₹4,000 / ₹36,000) × 100
= 11.11% (approximately)

- Percentage for Miscellaneous = (Amount for Miscellaneous / Total Monthly Income) × 100
= (₹4,000 / ₹36,000) × 100
= 11.11% (approximately)

Now, we have the percentages for each category:
- Food: 25%
- Rent: 22.22%
- Clothing: 16.67%
- Insurance and other savings: 13.89%
- Education: 11.11%
- Miscellaneous: 11.11%

### Drawing the Pie Chart:

To draw the pie chart, follow these steps:

1. Draw a Circle: Representing the whole pie, which symbolizes the total income of ₹36,000.

2. Divide the Circle into Sections Based on Percentages:
- Food (25%): This will cover 25% of the circle.
- Rent (22.22%): This will cover about 22.22% of the circle.
- Clothing (16.67%): Covering about 16.67% of the circle.
- Insurance and other savings (13.89%): Covering about 13.89% of the circle.
- Education (11.11%): Taking up about 11.11% of the circle.
- Miscellaneous (11.11%): Also taking up about 11.11% of the circle.

Label each section appropriately with the categories and their respective percentages.

### Visual Representation:

Since a pie chart can't be physically drawn here, I will describe the approximate angles for each section based on the percentages:

- Full circle: [tex]\(360^\circ\)[/tex]
- Food: [tex]\(25\% \times 360^\circ = 90^\circ\)[/tex]
- Rent: [tex]\(22.22\% \times 360^\circ \approx 80^\circ\)[/tex]
- Clothing: [tex]\(16.67\% \times 360^\circ \approx 60^\circ\)[/tex]
- Insurance and other savings: [tex]\(13.89\% \times 360^\circ \approx 50^\circ\)[/tex]
- Education: [tex]\(11.11\% \times 360^\circ \approx 40^\circ\)[/tex]
- Miscellaneous: [tex]\(11.11\% \times 360^\circ \approx 40^\circ\)[/tex]

Plot these angles on the circle, starting from the positive x-axis and moving counter-clockwise, and label each section.

This comprehensive breakdown ensures that each family expenditure is proportionately represented in the pie chart.