Answer :
Certainly! Let's go through the problem step-by-step and provide detailed solutions to each part of the question.
### (a) Determine the service charge due for 325 units of electricity usage.
To determine the service charge and energy charge for 325 units:
- Given the rate table, for usage above 250 units, the service charge is ₹175 and the energy charge is ₹11.00 per unit.
Therefore, for 325 units:
- Service charge: ₹175
- Energy charge: 325 units × ₹11.00 = ₹3575.00
### (b) Calculate the electricity consumption for the months of Asoj, Kartik, and Mangsir separately.
We are given the meter readings:
- 1st Asoj: 2145
- 1st Kartik: 2352
- 1st Mangsir: 2560
- 1st Paush: 2845
To calculate the monthly consumption:
- Consumption in Asoj: Reading on 1st Kartik - Reading on 1st Asoj
- [tex]\(2352 - 2145 = 207\)[/tex] units
- Consumption in Kartik: Reading on 1st Mangsir - Reading on 1st Kartik
- [tex]\(2560 - 2352 = 208\)[/tex] units
- Consumption in Mangsir: Reading on 1st Paush - Reading on 1st Mangsir
- [tex]\(2845 - 2560 = 285\)[/tex] units
### (c) Calculate the electricity bill for the month of Asoj.
To calculate the bill for 207 units consumed in Asoj:
- Based on the rate table, for 101 to 250 units, the service charge is ₹125 and the energy charge is ₹9.50 per unit.
- Service charge: ₹125
- Energy charge: 207 units × ₹9.50 = ₹1966.50
Therefore, the total bill for Asoj:
- Total bill = Service charge + Energy charge
- ₹125 + ₹1966.50 = ₹2091.50
### (d) Ascertain the percentage difference in electricity usage between the highest and lowest consumption months among Asoj, Kartik, and Mangsir.
From the consumption calculated:
- Asoj: 207 units
- Kartik: 208 units
- Mangsir: 285 units
To find the percentage difference between the highest and lowest consumption months:
- Highest consumption: 285 units
- Lowest consumption: 207 units
- Percentage difference = [tex]\(\left(\frac{\text{Highest consumption} - \text{Lowest consumption}}{\text{Lowest consumption}}\right) \times 100\)[/tex]
[tex]\[ \frac{285 - 207}{207} \times 100 = 37.68\% \][/tex]
### Summary
Here are the summarized answers:
(a) Service charge due for 325 units: ₹175 and Energy charge: ₹3575.00
(b) Monthly consumptions:
- Asoj: 207 units
- Kartik: 208 units
- Mangsir: 285 units
(c) Electricity bill for the month of Asoj: ₹2091.50
(d) Percentage difference in electricity usage between highest and lowest month: 37.68%
These solutions provide a complete and detailed breakdown of how to approach and solve each part of the problem.
### (a) Determine the service charge due for 325 units of electricity usage.
To determine the service charge and energy charge for 325 units:
- Given the rate table, for usage above 250 units, the service charge is ₹175 and the energy charge is ₹11.00 per unit.
Therefore, for 325 units:
- Service charge: ₹175
- Energy charge: 325 units × ₹11.00 = ₹3575.00
### (b) Calculate the electricity consumption for the months of Asoj, Kartik, and Mangsir separately.
We are given the meter readings:
- 1st Asoj: 2145
- 1st Kartik: 2352
- 1st Mangsir: 2560
- 1st Paush: 2845
To calculate the monthly consumption:
- Consumption in Asoj: Reading on 1st Kartik - Reading on 1st Asoj
- [tex]\(2352 - 2145 = 207\)[/tex] units
- Consumption in Kartik: Reading on 1st Mangsir - Reading on 1st Kartik
- [tex]\(2560 - 2352 = 208\)[/tex] units
- Consumption in Mangsir: Reading on 1st Paush - Reading on 1st Mangsir
- [tex]\(2845 - 2560 = 285\)[/tex] units
### (c) Calculate the electricity bill for the month of Asoj.
To calculate the bill for 207 units consumed in Asoj:
- Based on the rate table, for 101 to 250 units, the service charge is ₹125 and the energy charge is ₹9.50 per unit.
- Service charge: ₹125
- Energy charge: 207 units × ₹9.50 = ₹1966.50
Therefore, the total bill for Asoj:
- Total bill = Service charge + Energy charge
- ₹125 + ₹1966.50 = ₹2091.50
### (d) Ascertain the percentage difference in electricity usage between the highest and lowest consumption months among Asoj, Kartik, and Mangsir.
From the consumption calculated:
- Asoj: 207 units
- Kartik: 208 units
- Mangsir: 285 units
To find the percentage difference between the highest and lowest consumption months:
- Highest consumption: 285 units
- Lowest consumption: 207 units
- Percentage difference = [tex]\(\left(\frac{\text{Highest consumption} - \text{Lowest consumption}}{\text{Lowest consumption}}\right) \times 100\)[/tex]
[tex]\[ \frac{285 - 207}{207} \times 100 = 37.68\% \][/tex]
### Summary
Here are the summarized answers:
(a) Service charge due for 325 units: ₹175 and Energy charge: ₹3575.00
(b) Monthly consumptions:
- Asoj: 207 units
- Kartik: 208 units
- Mangsir: 285 units
(c) Electricity bill for the month of Asoj: ₹2091.50
(d) Percentage difference in electricity usage between highest and lowest month: 37.68%
These solutions provide a complete and detailed breakdown of how to approach and solve each part of the problem.