To solve the given problem, we'll break it down into two parts: finding the monthly average expenditure and then presenting the expenditures in a pie-chart.
### Part (a): Monthly Average Expenditure
1. List the monthly expenditures:
- Baisakh: Rs. 12500
- Jestha: Rs. 9500
- Asar: Rs. 14000
- Shrawan: Rs. 9000
2. Calculate the total expenditure:
Sum of all monthly expenditures = Rs. 12500 + Rs. 9500 + Rs. 14000 + Rs. 9000 = Rs. 45000
3. Calculate the number of months:
Number of months = 4
4. Find the average expenditure:
Average expenditure = Total expenditure / Number of months
[tex]\[
\text{Average expenditure} = \frac{45000}{4} = Rs. 11250
\][/tex]
So, the monthly average expenditure of Suman's family is Rs. 11250.
### Part (b): Presenting Expenditure in a Pie-Chart
To present the expenditures in a pie-chart, we need to calculate the percentage of the total expenditure that each month's expenditure represents.
1. Calculate the total expenditure again:
Total expenditure = Rs. 45000
2. Calculate the percentage for each month's expenditure:
- Baisakh:
[tex]\[
\text{Baisakh percentage} = \left( \frac{12500}{45000} \right) \times 100 = 27.78\%
\][/tex]
- Jestha:
[tex]\[
\text{Jestha percentage} = \left( \frac{9500}{45000} \right) \times 100 = 21.11\%
\][/tex]
- Asar:
[tex]\[
\text{Asar percentage} = \left( \frac{14000}{45000} \right) \times 100 = 31.11\%
\][/tex]
- Shrawan:
[tex]\[
\text{Shrawan percentage} = \left( \frac{9000}{45000} \right) \times 100 = 20.00\%
\][/tex]
Now, we can represent these calculated percentages in a pie-chart:
- Baisakh: 27.78%
- Jestha: 21.11%
- Asar: 31.11%
- Shrawan: 20.00%
These percentages should be visually represented in segments of the pie-chart corresponding to the respective months.
### Summary
- (a) The monthly average expenditure of Suman's family is Rs. 11250.
- (b) The percentages of total expenditure for Baisakh, Jestha, Asar, and Shrawan are 27.78%, 21.11%, 31.11%, and 20.00%, respectively, and these can be represented in a pie-chart.
