Harry is paid £8.60 per hour for the first 30 hours he works each week - OCR - GCSE Maths - Question 14 - 2020 - Paper 1
Question 14
Harry is paid £8.60 per hour for the first 30 hours he works each week.
After 30 hours he is paid 1.5 times the hourly rate.
Last week, Harry worked for 33 hours.
He... show full transcript
Worked Solution & Example Answer:Harry is paid £8.60 per hour for the first 30 hours he works each week - OCR - GCSE Maths - Question 14 - 2020 - Paper 1
Step 1
Calculate earnings for the first 30 hours
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Answer
Harry's hourly rate for the first 30 hours is £8.60.
Thus, for 30 hours, his earnings are:
[
30 \times 8.60 = 258.00
]
Step 2
Calculate earnings for the additional 3 hours
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Answer
After 30 hours, Harry is paid 1.5 times the hourly rate. Therefore, the rate for the additional hours is:
[
8.60 \times 1.5 = 12.90
]
For 3 hours, the earnings are:
[
3 \times 12.90 = 38.70
]
Step 3
Calculate total earnings before bonus
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Answer
Total earnings before the bonus (from 30 hours and 3 hours) are:
[
258.00 + 38.70 = 296.70
]
Step 4
Calculate the bonus
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Answer
The bonus is ( \frac{1}{10} ) of the total earnings:
[
\frac{1}{10} \times 296.70 = 29.67
]
Step 5
Calculate total earnings including the bonus
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Answer
Finally, the total earnings including the bonus are:
[
296.70 + 29.67 = 326.37
]
Thus, Harry was paid a total of £326.37 last week.
