Barra is comparing the cost of electricity supplied by two companies - Junior Cycle Mathematics - Question 3
Question 3
Barra is comparing the cost of electricity supplied by two companies. He used 510 units last month.
(a) Fill in the following tables:
GRIDPOWER €
Standing charge... show full transcript
Worked Solution & Example Answer:Barra is comparing the cost of electricity supplied by two companies - Junior Cycle Mathematics - Question 3
Step 1
Standing charge for GRIDPOWER
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Answer
The standing charge for GRIDPOWER is €9.47.
Step 2
Cost for unit usage in GRIDPOWER
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Answer
The total cost for 510 units at 18.5 cents per unit is calculated as:
510imes0.185=94.35
Step 3
Subtotal for GRIDPOWER
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Answer
The subtotal for GRIDPOWER is:
9.47+94.35=103.82
Step 4
VAT for GRIDPOWER
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Answer
VAT for GRIDPOWER at 13.5% on the subtotal of €103.82 is:
103.82imes0.135=14.02
Step 5
Total for GRIDPOWER
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Thus, the total for GRIDPOWER is:
103.82+14.02=117.84
Step 6
Standing charge for ELECTROLINE
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Answer
ELECTROLINE has no standing charge, so the initial cost is €0.
Step 7
Cost for unit usage in ELECTROLINE
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Answer
The total cost for 510 units is calculated as:
First 50 units are free. For the remaining 460 units at 25 cents each:
460imes0.25=115.00
Step 8
Subtotal for ELECTROLINE
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The subtotal for ELECTROLINE is therefore €115.00 as there is no standing charge.
Step 9
VAT for ELECTROLINE
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Answer
The VAT for ELECTROLINE at 13.5% on the subtotal of €115 is:
115imes0.135=15.53
Step 10
Total for ELECTROLINE
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Thus, the total for ELECTROLINE is:
115+15.53=130.53
Step 11
What is the difference between the bills of the two companies?
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The difference between the bills of the two companies is:
130.53−117.84=12.69
Step 12
Recommendation for company selection (part c)
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Barra should choose ELECTROLINE because it has the lower total amount before the discount. After applying a 10% discount to the total for ELECTROLINE:
130.53 - 10 ext{%} = 117.48
The adjusted totals indicate a 36 cent difference to GRIDPOWER after applying the discount.
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