Let's work through each part of this problem step-by-step using the available information and numerical results.
### Part (a): Fine for Payment Delayed Beyond 60 days
According to the problem statement, if the payment is delayed beyond 60 days, the fine applicable is not specified. Therefore, we assume no additional fine is specified for delays beyond 60 days.
### Part (b): Estimating the Electricity Bill for Magh
1. Calculate the units consumed:
[tex]\[
\text{Units consumed} = \text{Current reading} - \text{Previous reading} = 3678 - 3450 = 228 \text{ units}
\][/tex]
2. Determine the Service Charge and Energy Charge:
- For the first 20 units (0-20 units):
[tex]\[
\text{Units} = 20 \text{ units} \times 3.00 \text{ currency/unit} = 60 \text{ currency}
\][/tex]
- Next 10 units (21-30 units):
[tex]\[
\text{Units} = 10 \text{ units} \times 6.50 \text{ currency/unit} = 65 \text{ currency}
\][/tex]
- Next 20 units (31-50 units):
[tex]\[
\text{Units} = 20 \text{ units} \times 8.00 \text{ currency/unit} = 160 \text{ currency}
\][/tex]
- Next 50 units (51-100 units):
[tex]\[
\text{Units} = 50 \text{ units} \times 9.50 \text{ currency/unit} = 475 \text{ currency}
\][/tex]
- Next 128 units (101-229 units, as 229 falls under the 101-250 category):
[tex]\[
\text{Units} = 128 \text{ units} \times 9.50 \text{ currency/unit} = 1216 \text{ currency}
\][/tex]
Adding these up gives the Total Energy Charge:
[tex]\[
\text{Total Energy Charge} = 60 + 65 + 160 + 475 + 1216 = 1976 \text{ currency}
\][/tex]
Service Charge for 228 units (Since it is in the 101-250 range):
[tex]\[
\text{Service Charge} = 100 \text{ currency}
\][/tex]
3. Total Bill Calculation:
[tex]\[
\text{Total Energy Cost} = \text{Service Charge} + \text{Total Energy Charge} = 100 + 1976 = 2076 \text{ currency}
\][/tex]
### Part (c): Determining the Bill Amount if Paid on 5th Chaitra
If the payment is made within 7 days of the meter reading, a rebate of 2% on the total energy cost applies:
1. Calculate the rebate:
[tex]\[
\text{Rebate} = 0.02 \times 2076 = 41.52 \text{ currency}
\][/tex]
2. Bill amount if paid on 5th day (within 7 days):
[tex]\[
\text{Bill if paid on 5th Chaitra} = \text{Total Energy Cost} - \text{Rebate} = 2076 - 41.52 = 2034.48 \text{ currency}
\][/tex]
### Total Summary:
- (a) Fine for delaying beyond 60 days: Not specified.
- (b) Estimated electricity bill for Magh: 2076 currency.
- (c) Bill amount if paid on 5th Chaitra: 2034.48 currency.
