A consumer has a maximum demand of 100 kW. The p.f. is 0.8 lagging and the load factor id 60%. The tariff used is Rs. 75 per kVA of maximum demand plus 15 paise per kWh consumed. The annual bill will bea)Rs. 7500b)Rs. 88215c)Rs. 55620d)Rs. 15,550Correct answer is option 'B'. Can you explain this answer?

Question

Answer

Unit consumed/year = Max. kW demand x L.F. x Hours in a year
=100×(0.6)×8760=5.256×10⁵kWh
Max. demand in kVA = 100/p.f. = 100/0.8 = 125
Annual bill = Max. demand charges + Energy charges
= Rs.75×125+Rs.0.15×5.256×10⁵
= Rs.9375 + Rs.78840 = Rs.88215

Answer

Unit consumed/year = Max. kW demand x L.F. x Hours in a year
=100×(0.6)×8760=5.256×10⁵kWh
Max. demand in kVA = 100/p.f. = 100/0.8 = 125
Annual bill = Max. demand charges + Energy charges
= Rs.75×125+Rs.0.15×5.256×10⁵
= Rs.9375 + Rs.78840 = Rs.88215

Answer

Given parameters:
- Maximum demand = 100 kW
- Power factor (p.f.) = 0.8 lagging
- Load factor = 60%
- Tariff = Rs. 75 per kVA of maximum demand + 15 paise per kWh consumed

To calculate the annual bill, we need to find the following:
1. Maximum demand charges
2. Energy charges
3. Total charges

1. Maximum demand charges:
Maximum demand charges are calculated based on the maximum demand during the billing period. In this case, the maximum demand is given as 100 kW. The tariff for maximum demand is Rs. 75 per kVA. Since 1 kVA = 0.8 kW (for p.f. = 0.8 lagging), the maximum demand in kVA is:

Maximum demand in kVA = 100 kW / 0.8 = 125 kVA

Therefore, the maximum demand charges for the year will be:

Maximum demand charges = 125 kVA x Rs. 75/kVA = Rs. 9375

2. Energy charges:
Energy charges are calculated based on the units of energy consumed during the billing period. In this case, the load factor is 60%, which means that the energy consumed during the year is:

Energy consumed = Maximum demand x Load factor x 24 x 365
= 100 kW x 0.6 x 24 x 365
= 525,600 kWh

Therefore, the energy charges for the year will be:

Energy charges = 525,600 kWh x 0.15 = Rs. 78,840

3. Total charges:
The total charges for the year will be the sum of maximum demand charges and energy charges:

Total charges = Maximum demand charges + Energy charges
= Rs. 9375 + Rs. 78,840
= Rs. 88,215

Therefore, the correct answer is option B) Rs. 88,215.

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