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### Electricity Tariff Calculation

Nepal Electricity Authority has fixed the electricity tariff rates for the consumer using a 30 A meter as follows:

| Units (kWh) | Service Charge | Energy Charge |
|-------------|----------------|---------------|
| 0-20 | Rs 75 | Rs 5 |
| 21-30 | Rs 100 | Rs 6.50 |
| 31-50 | Rs 100 | Rs 8.00 |
| 51-100 | Rs 125 | Rs 9.50 |

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(i) The meter readings of electricity for a household were 1250 units on 1 Kartik and 1300 units on 1 Mansir. Find the electricity charge for the month of Kartik.

(ii) The meter readings of electricity for a household were 4040 units on 1 Asar and 4114 units on 1 Saun. Find the electricity charge for the month of Asar.

Answer :

GinnyAnswer
Let's approach the problem step by step.

Part (i): Calculate the electricity charge for the month of Kartik.

1. Meter readings and units consumed:
- Initial meter reading on 1 Kartik: 1250 units
- Final meter reading on 1 Mansir: 1300 units
- Units consumed in the month of Kartik: [tex]\(1300 - 1250 = 50\)[/tex] units

2. Tariff rates:

[tex]\[ \begin{array}{|c|c|c|} \hline \text{Units (kWh)} & \text{Service charge} & \text{Energy charge} \\ \hline 0-20 & \text{Rs 75} & \text{Rs 5} \\ \hline 21-30 & \text{Rs 100} & \text{Rs 6.50} \\ \hline 31-50 & \text{Rs 100} & \text{Rs 8.00} \\ \hline 51-100 & \text{Rs 125} & \text{Rs 9.50} \\ \hline \end{array} \][/tex]

3. Calculate the charge:

- For the first 20 units:
- Service charge: Rs 75
- Energy charge: [tex]\(20 \times 5 = 100\)[/tex]

[tex]\[ \text{Total charge for first 20 units} = 75 + 100 = \text{Rs 175} \][/tex]

- For the next 10 units (21 to 30):
- Service charge: Rs 100
- Energy charge: [tex]\(10 \times 6.50 = 65\)[/tex]

[tex]\[ \text{Total charge for next 10 units} = 100 + 65 = \text{Rs 165} \][/tex]

- For the next 20 units (31 to 50):
- Service charge: Rs 100
- Energy charge: [tex]\(20 \times 8 = 160\)[/tex]

[tex]\[ \text{Total charge for next 20 units} = 100 + 160 = \text{Rs 260} \][/tex]

Total charge for Kartik:

[tex]\[ 175 + 165 + 260 = \text{Rs 600} \][/tex]

So, the electricity charge for the month of Kartik is Rs 600.

Part (ii): Calculate the electricity charge for the month of Asar.

1. Meter readings and units consumed:
- Initial meter reading on 1 Asar: 4040 units
- Final meter reading on 1 Saun: 4114 units
- Units consumed in the month of Asar: [tex]\(4114 - 4040 = 74\)[/tex] units

2. Tariff rates:

[tex]\[ \begin{array}{|c|c|c|} \hline \text{Units (kWh)} & \text{Service charge} & \text{Energy charge} \\ \hline 0-20 & \text{Rs 75} & \text{Rs 5} \\ \hline 21-30 & \text{Rs 100} & \text{Rs 6.50} \\ \hline 31-50 & \text{Rs 100} & \text{Rs 8.00} \\ \hline 51-100 & \text{Rs 125} & \text{Rs 9.50} \\ \hline \end{array} \][/tex]

3. Calculate the charge:

- For the first 20 units:
- Service charge: Rs 75
- Energy charge: [tex]\(20 \times 5 = 100\)[/tex]

[tex]\[ \text{Total charge for first 20 units} = 75 + 100 = \text{Rs 175} \][/tex]

- For the next 10 units (21 to 30):
- Service charge: Rs 100
- Energy charge: [tex]\(10 \times 6.50 = 65\)[/tex]

[tex]\[ \text{Total charge for next 10 units} = 100 + 65 = \text{Rs 165} \][/tex]

- For the next 20 units (31 to 50):
- Service charge: Rs 100
- Energy charge: [tex]\(20 \times 8 = 160\)[/tex]

[tex]\[ \text{Total charge for next 20 units} = 100 + 160 = \text{Rs 260} \][/tex]

- For the next 24 units (51 to 74):
- Service charge: Rs 125
- Energy charge: [tex]\(24 \times 9.50 = 228\)[/tex]

[tex]\[ \text{Total charge for next 24 units} = 125 + 228 = \text{Rs 353} \][/tex]

Total charge for Asar:

[tex]\[ 175 + 165 + 260 + 353 = \text{Rs 953} \][/tex]

So, the electricity charge for the month of Asar is Rs 953.

Summary:
1. For Kartik: Consumed units = 50, Charge = Rs 600
2. For Asar: Consumed units = 74, Charge = Rs 953

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