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Calculate Don's total overtime pay if his basic hourly rate is K4.75 and he worked 12 hours overtime paid at time and a half.

Mathematics

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Here are the solutions for questions 4, 5, 6, and 7.

4. Don's basic hourly rate of pay is K4.75. In a certain week he worked 12 hours overtime which was paid at a- time - and a - half. Calculate Don's total overtime pay for that week.

  1. Calculate the overtime rate.

    "Time and a half" means 1.5 times the basic hourly rate.

    Overtime Rate=1.5×Basic Hourly Rate\text{Overtime Rate} = 1.5 \times \text{Basic Hourly Rate} Overtime Rate=1.5×K4.75\text{Overtime Rate} = 1.5 \times \text{K}4.75 Overtime Rate=K7.125 per hour\text{Overtime Rate} = \text{K}7.125 \text{ per hour}
  2. Calculate Don's total overtime pay.

    Total Overtime Pay=Overtime Rate×Overtime Hours\text{Total Overtime Pay} = \text{Overtime Rate} \times \text{Overtime Hours} Total Overtime Pay=K7.125×12\text{Total Overtime Pay} = \text{K}7.125 \times 12 Total Overtime Pay=K85.50\text{Total Overtime Pay} = \text{K}85.50 K85.50\boxed{\text{K}85.50}

    5. A shopkeeper works a basic week of 35 hours for which he is paid K140.00. Calculate his hourly rate of pay.

  3. Divide the total weekly pay by the number of hours worked in the basic week.

    Hourly Rate=Total Weekly PayBasic Hours\text{Hourly Rate} = \frac{\text{Total Weekly Pay}}{\text{Basic Hours}} Hourly Rate=K140.0035\text{Hourly Rate} = \frac{\text{K}140.00}{35} Hourly Rate=K4.00 per hour\text{Hourly Rate} = \text{K}4.00 \text{ per hour} K4.00 per hour\boxed{\text{K}4.00 \text{ per hour}}

    Refer to the information below to answer Questions 6, 7 and 8
    A tailor earns K8 000 per annum. Deductions from her gross annual pay are;

    • K1 850 for income tax
    • K750 for insurance and K450 for pension fund.

    6. Calculate the tailor's total deduction

  4. Sum all the given deduction amounts.

    Total Deductions=Income Tax+Insurance+Pension Fund\text{Total Deductions} = \text{Income Tax} + \text{Insurance} + \text{Pension Fund} Total Deductions=K1850+K750+K450\text{Total Deductions} = \text{K}1850 + \text{K}750 + \text{K}450 Total Deductions=K3050\text{Total Deductions} = \text{K}3050 K3050\boxed{\text{K}3050}

    7. What is the tailor's net annual pay?

  5. Subtract the total deductions from the gross annual pay.

    Net Annual Pay=Gross Annual Pay−Total Deductions\text{Net Annual Pay} = \text{Gross Annual Pay} - \text{Total Deductions} Net Annual Pay=K8000−K3050\text{Net Annual Pay} = \text{K}8000 - \text{K}3050 Net Annual Pay=K4950\text{Net Annual Pay} = \text{K}4950 K4950\boxed{\text{K}4950}
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