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3.01 Wages

Worksheet
Overtime rates
1

The normal pay rate is \$13.40 per hour.

a

What is the time-and-a-half rate?

b

What is the double time rate?

2

Calculate the equivalent number of hours worked at normal pay for working:

a

33 hours at normal rates and 10 hours at time-and-a-half

b

37 hours at normal rates and 5 hours at double time

c

21 hours at normal rates, 10 hours at time-and-a-half and 8 hours at double time

d

7 hours at time-and-a-half and 10 hours at double time

3

For an hourly rate of \$30, calculate the income earned for working:

a

35 hours at normal rates and 6 hours at time-and-a-half.

b

28 hours at normal rates and 5 hours at double time.

c

29 hours at normal rates, 9 hours at time-and-a-half and 7 hours at double time.

d

8 hours at time-and-a-half and 7 hours at double time.

4

Han earns \$18.00 per hour from 9\text{ am} - 5 \text{ pm} (business hours), and \$27.00 per hour outside business hours. Calculate his income for the shifts that he worked between the following times:

a

9\text{ am to } 5\text{ pm}

b

11\text{ am to }4\text{ pm}

c

6\text{ am to }4\text{ pm}

d

10\text{ am to }11\text{ pm}

e

5\text{ am to }10\text{ pm}

5

A retail assistant is employed on a casual basis from 4 \text{ pm} till 8 \text{ pm} from Monday to Friday, and from 7 \text{ am } till 10 \text{ am } on weekends. He is paid a casual rate of \$19 per hour Monday to Friday, and \$29 per hour on weekends.

a

Calculate the income he earns from Monday to Friday.

b

Calculate the income he earns over a weekend.

c

Calculate his weekly income.

6

A truck driver earns \$1369.00 for a 37 hour week, and then double time for any extra hours worked on top of that.

a

What is the truck driver's hourly rate?

b

What would he earn for a 42 hour week?

7

Neil works from 10 \text{ am }to 3 \text{ pm}, Monday to Friday, and from 8 \text{ am } to 4 \text{ pm}, on weekends. His weekly income is \$1927.

a

How many hours does Neil work per week?

b

Calculate his hourly rate.

8

Carl earns \$910 per week. Calculate his normal hourly rate of pay if he works:

a

34 hours at normal rates and 10 hours at time-and-a-half.

b

35 hours at normal rates and 10 hours at double time.

c

34 hours at normal rates, 7 hours at time-and-a-half and 6 hours at double time.

9

Skye's monthly salary is \$5748.50. If Skye works for 40 hours every week for 44 weeks per year, calculate her hourly pay rate.

10

Find the weekly wage for the following scenarios. Assume that there are 52 weeks in a year.

a

Christa earns \$21 per hour working as a receptionist. She works 19 hours per week.

b

Marge works for 20 hours each week at a part-time rate of \$19/hour and also does a 6-hour Sunday shift at time-and-a-half.

c

Michael's annual salary is \$73\,398.

d

Sarah's monthly income is \$1586.

11

A call centre worker is paid \$20 per hour for a normal 37-hour week, and time-and-a-half for each hour worked thereafter. Calculate his income for a week in which he works:

a

27 hours

b

45 hours

12

For each week, Christa earns a wage of \$18 per hour for the first 23 hours, time-and-a-half for the next 9 hours, and double time after that. Calculate her weekly income if she works:

a

18 hours per week.

b

27 hours per week.

c

37 hours per week

Wages and salaries
13

A payroll officer uses the following formula to calculate each employee’s fortnightly pay:

\text{Fornightly wage } = \frac{A}{52.18} \times 2

where A is the employee’s annual salary.

Use the formula to find the fortnightly wage of an employee who earns \$93\,816 per year.

14

Roxanne's monthly salary is \$8142.50. If Roxanne gets paid fortnightly, calculate her fortnightly pay rate. Assume that there are 52 weeks in a year.

15

Noah's annual salary is \$90\,282. If Noah gets paid monthly, calculate his monthly income.

16

Calculate the annual income in the following scenarios. Assume that there are 52 weeks in the year.

a
A worker whose weekly pay is \$307.
b
\$20 per hour, working 35 hours per week.
17

Buzz has a job that pays him \$27 per hour. He has a working week of 38 hours and works 52 weeks in a year. Calculate:

a

His weekly income

b

His fortnightly income

c

His annual salary

d

His monthly income

18

Sarah earns a salary of \$37\,000 per year, and works 38 hours per week. Find:

a

Her weekly income

b

Her fortnightly income

c

Her monthly income

d

Her hourly income

19

Craig's contract is based on a 30 hour working week and an hourly rate of \$20. Jane's contract is based on an annual salary of \$33\,040.

a

What is Craig's weekly income?

b

What is Jane's weekly income?

c

Who has the higher weekly income?

d

Find the difference in their weekly incomes.

20

Dave's contract is based on a 23 hour working week and an hourly rate of \$18. Valentina's contract is based on an annual salary of \$28\,543. In your calculations, assume that there are exactly 52 weeks in a year.

a

What is Dave's weekly income?

b

What is Valentina's weekly income?

c

Who has the higher weekly income?

d

Find the difference in their weekly incomes.

21

Jimmy is considering three different job offers, and wants to choose the one that will pay him the most, but they are all given at different rates:

  • Offer 1: \$4142.50 per month

  • Offer 2: \$621.12 per week

  • Offer 3: \$48\,000.00 per year

a

What is his annual pay for Offer 1?

b

What is his annual pay for Offer 2?

c

Which job offer should Jimmy accept?

22

Maria is considering three different job offers, and wants to choose the one that will pay her the most, but they are all given at different rates:

  • Offer 1: \$3965.00 per month

  • Offer 2: \$1023.00 per week

  • Offer 3: \$47\,008.00 per year

a

What is her weekly pay for Offer 1? Assume that there are 52 weeks in a year.

b

What is her weekly pay for Offer 3? Assume that there are 52 weeks in a year.

c

Which job offer should Maria accept to get the best weekly pay?

23

Nico earned \$43\,100 in one year, and worked an average of 30 hours per week.

a

What hourly wage did he earn?

b

If his hourly wage increased by \$5, how much would his annual salary increase by?

24

Calculate the new weekly income in the following scenarios:

a
An annual salary of \$37\,000 is increased by 4.5\%.
b
Hermione's annual salary of \$63\,000 was increased by 4.3\%.
25

Peter's annual salary is \$44\,520. Calculate his fortnightly pay after receiving a 3\% pay rise.

Commission and piecework
26

Calculate the income earned for the following amounts of piecework:

a

Washing 24 cars at \$10 per car.

b

Baking 26 croissants at \$7 per croissant.

c

Sewing 84 shirts at \$8 per shirt.

27

A delivery driver earns \$9 per delivery up to 13 deliveries, then \$19 per delivery thereafter. Calculate the income earned for:

a

7 deliveries

b

22 deliveries

28

A baker earns \$6 for each breadroll and \$2 for each bagel she makes. In one particular day she makes 99 breadrolls and 107 bagels.

a

Calculate the amount she earned from making the breadrolls.

b

Calculate the amount she earned from making the bagels.

c

Calculate her total income for that particular day.

29

A process worker earns \$3 for each article he writes. Calculate the number of articles he has to write to earn:

a
\$327
b
\$918
30

Calculate the value of 2\% commission for total sales of \$5900.

31

Sally is paid 7\% commission on the first \$2600 of goods sold and 1\% on any value thereafter. Sally sells goods to the value of \$15\,400.

a

Calculate the commission earned on the first \$2600 of goods sold.

b

Calculate the commission earned on the amount of goods sold in excess of \$2600.

c

Find Sally's total commission earned.

32

Calculate the income for the following people:

a
Han is paid a commission of 3\% of the value of trucks sold in excess of \$2100. This week he sold trucks to the value of \$6600.
b
Allan is paid a monthly base salary of \$600 and a commission of 4\% of the value of the products he sells. His sales for the month are \$299\,000.
c
Tess is paid \$400 per week plus 6\% commission on sales in excess of \$2300. In one week she sells goods to the value of \$7100.
33

Amelia is paid a base salary of \$260 per week plus a commission based on her weekly sales. In one week she sells \$8800 worth of goods. Her total pay for the week was \$788.

a

How much commission did she earn?

b

What is Amelia's commission rate? Give your answer as a percentage.

34

Sally is paid a base salary of \$370 per week plus a commission based on her weekly sales. In one week she sells \$9000 worth of products. If her total pay for the week was \$910, what commission rate is Sally paid?

35

Dave sold vans to the value of \$60\,000 in one week. His pay for the week was \$1780, which comprised a base salary plus a commission of 2\% on his sales. What base salary was Dave paid?

36

Beth earns a weekly base salary of \$350 plus a commmission of 2.4\% based on sales of airline tickets. If she is aiming to earn \$753.20 each week, what value of ticket sales must she achieve?

Commission spreadsheet formulas
37

Christine is using a spreadsheet to calculate commission earned on real estate sales. She earns a base salary of \$700 per week, plus 4\% commission on sales. Christine enters her sales into cell \text{D} 4 and enters a formula into cell \text{D} 5 to calculate her weekly income.

Complete the formula to enter into cell \text{D} 5:

= ⬚+ 4\% * ⬚

38

Lachlan is calculating his commission earned on computer sales. He earns a base salary of \$400 per week plus 9\% commission on sales. If u represents the amount of sales Lachlan makes per week, complete the formula to calculate his weekly income:

⬚+ ⬚\times u

39

Sally is using a spreadsheet to calculate commission earned on real estate sales. She earns a base salary of \$450 per week, plus 4.05\% commission on sales. Sally enters her sales into cell \text{K} 1 and enters a formula into cell \text{K} 2 to calculate her weekly income. Write the formula to enter into cell \text{K} 2.

40

Valentina is calculating her weekly wage which is calculated at an hourly rate plus 7.8\% commission on sales. She earns \$23.50 an hour. If h represents the number of hours Valentina works for the week and s represents her weekly sales total, write a formula to correctly calculate her weekly income.

41

Laura is using a spreadsheet to calculate her weekly wage. She earns \$16.20 per hour, plus 6\% commission on sales. Laura enters the number of hours she worked for the week into cell \text{B} 2 and her total amount of sales in \text{D} 2. She then enters the formula into \text{C} 3 to calculate her weekly income. Write the correct formula to enter into cell \text{C} 3.

42

Fiona is using a spreadsheet to calculate her weekly wage. She earns \$29.50 per hour, plus 9.2\% commission on sales. Fiona enters the number of hours she worked for the week into cell \text{K} 2 and her total amount of sales in \text{M} 2. She then enters the formula into \text{L} 3 to calculate her weekly income. Which is the correct formula to enter into cell \text{L} 3?

Allowances
43

Calculate the total allowance for the following workers:

a

A worker receives an allowance of \$0.50 per hour for performing unpleasant work. He works 37 hours.

b

A worker receives a dust allowance of 90 cents per hour and a hot work allowance of 60 cents per hour. He works 38 hours.

c

A miner receives allowances of \$1.40 per hour for working in confined spaces, 70 cents per hour for being exposed to potentially toxic substances during work, and 80 cents per hour for the noise caused by general mining operations. He works 38 hours.

44

Neil, a miner, is paid \$25 per hour. He earns an extra \$5 per hour when working underground. Calculate his weekly wage if he works for 39 hours, 15 of which were underground.

45

Dave, a delivery driver, is paid \$10 per hour, plus a uniform allowance of \$15 per week, \$92 per week for depreciation on his car, and a travel allowance of 37 cents per kilometre. Calculate his weekly income, if he worked 28 hours and travelled 1284 km.

46

Bob works as a receptionist and is paid \$22.09 per hour for a 38-hour week. He holds a first-aid certificate and receives a first aid allowance each week of 1.5\% of the normal weekly pay. Because he is required to wear a uniform, he is paid an allowance of \$3.55 per week for laundry expenses.

a

Calculate Bob’s normal weekly pay without allowances.

b

Calculate Bob’s gross weekly pay including allowances.

47

Jack is a miner. He is paid an hourly rate of \$22.85 (which does not include any allowances). Jack holds a first aid certificate and is entitled to the following allowances:

Amount
Mining industry allowance\$0.82 \text{ per hour}
First aid allowance\$0.44 \text{ per hour, up to a maximum of }\$16.75 \text{ a week}
Underground allowance\$1.54 \text{ per hour}
Remote camp allowance\$15.66 \text{ per day}
a

Will Jack reach the maximum amount of First aid allowance if he works a 38 hour week?

b

Find Jack’s weekly pay if he works a 38-hour week with 12 of those hours spent underground and 2 days spent at a remote camp.

48

Robert works at a vehicle manufacturing plant. His normal rate of pay is \$24.42 per hour. In addition Robert is paid a toxic substances allowance when he works with paint.

Toxic substances allowance
8.5\% \text{ of the normal rate of pay for the first 2 hours of working with substance that day}
60\% \text{ of the normal rate of pay for any additional hours in a single day}

Calculate Robert's gross income during an 8 hour working day where he spends 3 hours working with paint.

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Outcomes

ACMGM002

calculate weekly or monthly wage from an annual salary, wages from an hourly rate including situations involving overtime and other allowances and earnings based on commission or piecework

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