Let's break down the problem and solve each part step-by-step:
### (a) What fine is applicable if payment is delayed beyond 60 days?
If payment is delayed beyond 60 days, an additional fine of 25% of the total bill is applicable. Based on the previous calculations, the total bill is 2016.0. Thus, the fine would be:
[tex]\[
\text{Fine} = 2016.0 \times 0.25 = 504.0
\][/tex]
### (b) Estimate the electricity bill for Magh.
1. Determine the total units consumed:
[tex]\[
\text{Initial Reading} = 3450, \quad \text{Final Reading} = 3678
\][/tex]
[tex]\[
\text{Total Units} = \text{Final Reading} - \text{Initial Reading} = 3678 - 3450 = 228 \text{ units}
\][/tex]
2. Calculate the service charge and energy charge:
- Since 228 units fall within the 101-250 units range:
- Service Charge: 100
- Energy Charge:
[tex]\[
\text{Energy Charge} = (228 - 100) \times 9.5 + 50 \times 9.5 + 20 \times 8 + 10 \times 6.5 = 128 \times 9.5 + 50 \times 9.5 + 20 \times 8 + 10 \times 6.5
\][/tex]
[tex]\[
\text{Energy Charge} = 128 \times 9.5 + 50 \times 9.5 + 20 \times 8 + 10 \times 6.5 = 1216.0 + 475.0 + 160.0 + 65.0 = 1916.0
\][/tex]
3. Calculate Total Bill:
[tex]\[
\text{Total Bill} = \text{Service Charge} + \text{Energy Charge} = 100 + 1916.0 = 2016.0
\][/tex]
Therefore, the electricity bill for Magh is 2016.0.
### (c) Determine the bill amount if payment was made on 5th Chaitra.
5th Chaitra translates to a delay of 5 days:
1. Within 7 days of meter reading, 2% rebate is applicable.
[tex]\[
\text{Rebate} = 2016.0 \times 0.02 = 40.32
\][/tex]
2. Final Bill Amount with Rebate:
[tex]\[
\text{Final Bill} = \text{Total Bill} - \text{Rebate} = 2016.0 - 40.32 = 1975.68
\][/tex]
So, if payment was made on 5th Chaitra, the bill amount would be 1975.68.
