Final answer:
The overall cost per kWh for a consumer with a 300 kW maximum demand at a 35% load factor, we must first find the energy consumed in a month and the corresponding costs. After calculating the maximum demand and energy costs, divide the total monthly cost by the energy consumed to get the cost per kWh, which is approximately Rs. 0.65 (option C).
Step-by-step explanation:
The question involves calculating the overall cost per kWh for a consumer with a maximum demand of 300 kW at a 35% load factor, given a tariff of Rs. 125 per kW of maximum demand plus 15 paise per kWh. The cost per kWh includes both the cost based on the maximum demand and the energy consumed.
First, calculate the total energy consumed in a month:
E = Maximum Demand × Load Factor × Hours in a Month
E = 300 kW × 0.35 × (24 h/day × 30 days/month)
E = 300 kW × 0.35 × 720 h
E = 75,600 kWh/month
Now, calculate the monthly cost of the maximum demand:
Maximum Demand Cost = Maximum Demand × Cost per kW
Maximum Demand Cost = 300 kW × Rs. 125/kW
Maximum Demand Cost = Rs. 37,500/month
Calculate the monthly cost of the energy consumed:
Energy Cost = Total Energy Consumed × Cost per kWh
Energy Cost = 75,600 kWh × Rs. 0.15/kWh
Energy Cost = Rs. 11,340/month
Calculate the total monthly cost:
Total Monthly Cost = Maximum Demand Cost + Energy Cost
Total Monthly Cost = Rs. 37,500 + Rs. 11,340
Total Monthly Cost = Rs. 48,840
Finally, determine the overall cost per kWh:
Overall Cost per kWh = Total Monthly Cost / Total Energy Consumed
Overall Cost per kWh = Rs. 48,840 / 75,600 kWh
Overall Cost per kWh = Rs. 0.646/kWh
Therefore, the overall cost per kWh is approximately Rs. 0.65, which corresponds to option (c).