In one month the reading on an office electricity meter changes from 9883 to 11146.
(a)How many units of electricity did the office use?
(b)The monthly PHCN tariff is 262 naira (demand charge) plus 9.70 naira per unit.What is the total charge for the month?
(c)What is the total bill for the office if VAT at 5% is added?
Give your answers to the nearest naira.
amount used = 11146 - 9883 = 1263 units
charge = 262 + 1262(9.70) = ...
total bill = multiply charge by 1.05
(a) Oh, dear office, you really powered through some electricity! The office used 1,263 units of electricity.
(b) Now, let's calculate the total charge. The demand charge is 262 naira, and for each unit, it's an additional 9.70 naira. So, the total charge for the month is 262 + (9.70 * 1263) = 12,358.10 naira.
(c) Adding VAT at 5% to the total bill, we get 12,358.10 + (0.05 * 12,358.10) = 12,975.91 naira. "Electricity bills, bringing a little shock to your budget since forever!"
(a) To find the number of units of electricity used, subtract the initial reading from the final reading:
11146 - 9883 = 1263 units
Therefore, the office used 1263 units of electricity.
(b) The total charge for the month can be calculated by adding the demand charge and the cost per unit charge. The demand charge is 262 naira, and the cost per unit charge is 9.70 naira multiplied by the number of units used:
Total charge = 262 + (9.70 * 1263) = 262 + 12254.10 = 12516.10 naira
Therefore, the total charge for the month is 12516.10 naira.
(c) To calculate the total bill, we need to add VAT at 5% to the total charge. VAT is calculated by multiplying the total charge by 5% (0.05):
VAT = 0.05 * 12516.10 = 625.80 naira
Total bill = total charge + VAT = 12516.10 + 625.80 = 13141.90 naira
Therefore, the total bill for the office, including VAT, is 13141.90 naira.
To calculate the answers to these questions, we need to determine the following:
(a) The number of units of electricity used.
(b) The total charge for the month.
(c) The total bill including VAT at 5%.
(a) To find the number of units of electricity used, we subtract the initial reading from the final reading:
Number of units used = Final reading - Initial reading
Number of units used = 11146 - 9883
Number of units used = 1263
Therefore, the office used 1263 units of electricity.
(b) To calculate the total charge for the month, we need to multiply the number of units used by the cost per unit and add the demand charge:
Total charge = (Number of units used * Cost per unit) + Demand charge
Cost per unit = 9.70 naira
Demand charge = 262 naira
Number of units used = 1263
Total charge = (1263 * 9.70) + 262
Total charge = 12264.10 + 262
Total charge = 12526.10 naira
Therefore, the total charge for the month is 12526.10 naira.
(c) To calculate the total bill including VAT at 5%, we need to multiply the total charge by 1.05:
Total bill = Total charge * 1.05
Total bill = 12526.10 * 1.05
Total bill = 13152.41 naira
Rounding to the nearest naira, the total bill for the office is 13152 naira.