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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 be
- a)Rs. 7500
- b)Rs. 88215
- c)Rs. 55620
- d)Rs. 15,550
Correct answer is option 'B'. Can you explain this answer?
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A consumer has a maximum demand of 100 kW. The p.f. is 0.8 lagging and...
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A consumer has a maximum demand of 100 kW. The p.f. is 0.8 lagging and...
Given data:
- Maximum demand (MD) = 100 kW
- Power factor (PF) = 0.8 lagging
- Load factor (LF) = 60%
- Tariff: Rs. 75 per kVA of maximum demand + 15 paise per kWh consumed
Calculation Steps:
1. Calculate the maximum demand in kVA:
- Maximum demand (MD) = 100 kW
- Maximum demand in kVA = MD / PF = 100 / 0.8 = 125 kVA
2. Calculate the average power in kW:
- Average power (AP) = MD * LF = 100 * 0.6 = 60 kW
3. Calculate the annual consumption in kWh:
- Annual consumption (AC) = AP * 24 * 365 = 60 * 24 * 365 = 525,600 kWh
4. Calculate the annual cost for maximum demand:
- Annual cost for maximum demand = MD * Tariff per kVA = 125 * 75 = Rs. 9,375
5. Calculate the annual cost for energy consumption:
- Annual cost for energy consumption = AC * Tariff per kWh
- Tariff per kWh = 15 paise = 0.15 Rupees
- Annual cost for energy consumption = 525,600 * 0.15 = Rs. 78,840
6. Calculate the total annual bill:
- Total annual bill = Annual cost for maximum demand + Annual cost for energy consumption
- Total annual bill = Rs. 9,375 + Rs. 78,840 = Rs. 88,215
Answer:
The annual bill for the consumer will be Rs. 88,215, which corresponds to option 'B'.
- Maximum demand (MD) = 100 kW
- Power factor (PF) = 0.8 lagging
- Load factor (LF) = 60%
- Tariff: Rs. 75 per kVA of maximum demand + 15 paise per kWh consumed
Calculation Steps:
1. Calculate the maximum demand in kVA:
- Maximum demand (MD) = 100 kW
- Maximum demand in kVA = MD / PF = 100 / 0.8 = 125 kVA
2. Calculate the average power in kW:
- Average power (AP) = MD * LF = 100 * 0.6 = 60 kW
3. Calculate the annual consumption in kWh:
- Annual consumption (AC) = AP * 24 * 365 = 60 * 24 * 365 = 525,600 kWh
4. Calculate the annual cost for maximum demand:
- Annual cost for maximum demand = MD * Tariff per kVA = 125 * 75 = Rs. 9,375
5. Calculate the annual cost for energy consumption:
- Annual cost for energy consumption = AC * Tariff per kWh
- Tariff per kWh = 15 paise = 0.15 Rupees
- Annual cost for energy consumption = 525,600 * 0.15 = Rs. 78,840
6. Calculate the total annual bill:
- Total annual bill = Annual cost for maximum demand + Annual cost for energy consumption
- Total annual bill = Rs. 9,375 + Rs. 78,840 = Rs. 88,215
Answer:
The annual bill for the consumer will be Rs. 88,215, which corresponds to option 'B'.
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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?
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ample number of questions to practice 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? tests, examples and also practice SSC tests.
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