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Kim is paid £9.40 per hour for the first 35 hours she works each week - OCR - GCSE Maths - Question 8 - 2019 - Paper 1

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Kim is paid £9.40 per hour for the first 35 hours she works each week. After 35 hours she is paid at one and a quarter times the hourly rate. One week Kim works 42 ... show full transcript

Worked Solution & Example Answer:Kim is paid £9.40 per hour for the first 35 hours she works each week - OCR - GCSE Maths - Question 8 - 2019 - Paper 1

Step 1

Calculate payment for the first 35 hours

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Answer

For the first 35 hours, Kim earns:

total

= hourly rate × number of hours worked

= £9.40 × 35

= £329.00.

Step 2

Calculate hours worked beyond 35 hours

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Answer

Kim works a total of 42 hours. Therefore, the hours beyond the first 35 are:

42 - 35 = 7 hours.

Step 3

Calculate hourly rate for overtime

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Answer

After 35 hours, Kim is paid at one and a quarter times her hourly rate:

Overtime rate = 1.25 × £9.40 = £11.75.

Step 4

Calculate payment for overtime hours

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Answer

For the 7 hours of overtime, Kim earns:

Total overtime pay = overtime rate × number of overtime hours

= £11.75 × 7 = £82.25.

Step 5

Calculate total pay for the week

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117 rated

Answer

Finally, the total pay for the week is:

Total payment = payment for first 35 hours + payment for overtime

= £329.00 + £82.25 = £411.25.

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