topic badge

7.02 Income

Worksheet
Income
1

Christa earns \$21 per hour working as a call centre operator. If she works 14 hours per week, how much is her weekly wage? Assume there are 52 weeks in a year.

2

Find the annual salary of a worker whose weekly pay is \$332. Assume there are 52 weeks in a year.

3

Roald's annual salary is \$100\,482. If Roald gets paid monthly, calculate his monthly income.

4

Bianca's monthly salary is \$5841.50. If Bianca gets paid fortnightly, calculate her fortnightly pay rate. Assume there are 52 weeks in a year.

5

James has a job that pays him \$24 per hour. Assume a working week of 38 hours. Assume there are 52 weeks in a year. Calculate each of the following to the nearest dollar:

a

His weekly income.

b

His fortnightly income.

c

His annual income.

d

His monthly income.

6

Neil works from 6:00 am to 5:00 pm Monday to Friday, and from 10:00 am to 3:00 pm on weekends. His weekly income is \$1602. Assume there are 52 weeks in a year.

a

How many hours does he work per week?

b

Calculate his hourly rate.

7

Pauline works at a tutoring company for 34 hours a week at a rate of \$35 per hour. How much more will she earn per week if her wage is increased to \$43 per hour? Assume there are 52 weeks in a year.

8

Neil has an annual salary of \$77\,000. If his salary is increased to \$88\,000, how much more will he be earning per month?

9

Nico earned \$43\,100 in one year, and worked an average of 30 hours per week. Assume there are 52 weeks in a year.

a

What hourly wage did he earn?

b

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

10

Georgia has an annual salary of \$27\,000. If her salary was increased by 2.5\%, calculate the following. Assume there are 52 weeks in a year:

a

Her new annual salary.

b

Her new weekly salary.

11

Assume there are 52 weeks in a year. Calculate the new weekly income if an annual salary of:

a
\$37\,000 is increased by 4.5\%.
b
\$63\,000 is increased by 4.3\%.
12

Derek 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: \$2917.00 per month

  • Offer 2: \$955.73 per week

  • Offer 3: \$52\,170.00 per year

Assume there are 52 weeks in a year.

a

Find his annual income for job Offer 1 at \$2917.00 per month.

b

Find his annual income for job Offer 2 at \$955.73 per week.

c

Which job offer should Derek accept?

13

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. Assume there are 52 weeks in a year.

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.

14

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. Assume there are 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.

Taxable income and tax deductions
15

Hermione's total allowable deductions for the year is \$502. If her gross annual income is \$30\,000, calculate her taxable income for the year.

16

Given the list of allowable deductions below calculate the following for each situation:

i

The total allowable deductions.

ii

The taxable income for the last financial year.

Allowable deductions

  • Work travel expenses

  • Charity donations

  • Home office expenses

  • Investment expenses

  • Self-education expenses

  • Tools and equipment expenses

  • Personal superannuation contributions

  • Union fees

a

Ben earned a gross income of \$58\,000 last financial year. He gave \$140 to various charities, contributed \$600 to his super account, contributed \$106 to the nurse union which he is a member of, and spent \$109 in total on cleaning expenses for his uniform.

b

Last financial year, Maximilian earned a gross monthly income of \$3503. Each month, he contributed \$200 to his superannuation account and \$17 in union fees, and spent \$30 each month making work calls from his personal mobile phone.

c

Kate runs her own chiropractic clinic and during the last financial year, her gross annual salary was \$127\,857. During the year, she donated \$22 each month to a charity, attended 3 work seminars each costing \$600, paid \$2420 each month renting a home, and purchased \$168 worth of stationery equipment for the clinic.

17

This year, Irene had a taxable income of \$71\,135. Her gross income is \$74\,000.

a

How much did she claim in allowable tax deductions?

b

Find the percentage of Irene's gross income that was tax deductable. Round your answer to one decimal place.

18

Luigi has a \$49 per month mobile phone plan. He regularly uses his phone for work purposes and can claim his work-related phone expenses as an allowable tax deduction.

Using his itemised bill each month, Luigi calculates that his work-related phone usage is consistently around 20\% of his total phone usage.

Luigi works for 48 weeks (11.1 months) of the year. Calculate the amount he can claim as a tax deduction for his mobile phone, to the nearest cent.

19

Frank works as a chef. Because he wears a uniform for his job, he is able to claim the cost and cleaning of his uniform as an allowable tax deduction.

Frank’s work-specific uniform expenses are shown in the table below.

Uniform itemNumber of itemsPrice per item ($)
\text{Chef's checked trousers}220.50
\text{Chef's jacket}125.00
\text{Chef's hat}17.85
\text{Apron}123.50
\text{Protective shoes (pair)}170.00
a

For his uniform, Frank's total cleaning expenses for the year come to \$52. Calculate Frank’s total clothing and cleaning expenses for the year.

b

Frank also spent \$295 on a set of knives and \$15.75 on a knife pouch. He can claim these as a tools and equipment expense because he uses them only for work.

Calculate his total tools and equipment expenses.

c

Calculate Frank's total allowable tax deductions.

d

Frank earns \$17.50 per hour and works 40 hours per week. Calculate his annual gross income if he works 46 weeks in a year.

e

Calculate Frank's taxable income.

20

David is a tradesperson. He can claim the actual cost of tools and equipment for any item he buys for work that costs \$300 or less. For any items over \$300 he can claim the depreciation of that item over a number of years. Over the course of a year, David buys a hammer for \$88, a power tool for \$270, and a portable generator for \$1200.

If the generator depreciates by 14\% in the first year, calculate David’s allowable tax deductions for tools and equipment.

Income tax
21

Use the tax table to answer the following:

Resident tax rates (2018-19)

Taxable incomeTax on this income
0 - \$18\,200\text{Nil}
\$18\,201 - \$37\,00019\text{c}\,\text{ for each} \,\$1 \text{ over} \,\$18\,200
\$37\,001 - \$90\,000\$3572\text{ plus}\, 32.5\text{c} \,\text{for each}\,\$1\,\text{over }\,\$37\,000
\$90\,001 - \$180\,000\$20\,797\, \text{plus}\, 37\text{c for each}\, \$1\, \text{over }\,\$90\,000
\$180\,001\text{ and over}\$54\,097\,\text{ plus}\, 45\text{c for each}\, \$1\,\text{over } \,\$180\,000
a

Calculate the income tax payable on a taxable income of:

i

\$16\,393

ii

\$36\,800

iii

\$42\,435

iv

\$177\,180

v

\$217\,225

b

Consider Maria's taxable income of \$175\,640.

i

Based on the given table, state the range of taxable incomes (income bracket) that Maria's taxable income falls into.

ii

Calculate Maria's payable income tax .

c

Jimmy is a teacher who earns an annual salary of \$44\,900. He earns an additional \$3450 per year from private tutoring. He is allowed various tax deductions (for resource books etc.) amounting to \$714.

i

Find his total gross income.

ii

Find his taxable income.

iii

Find his income tax payable based on the table.

d

Luigi has just been hired as a casual teacher where he will work 4 days a week for 40 weeks, earning \$330 per day.

i

How much does Luigi earn in a year?

ii

Calculate the income tax payable on Luigi's annual income.

e

Last financial year, Lucy's taxable income was \$84\,121.

i

Calculate the income tax payable on Lucy's income.

ii

Calculate the Medicare levy payable, given that it is 2\% of taxable income.

iii

Calculate the total amount Lucy needs to pay in income tax and Medicare levy.

f

Emma earned a taxable income of \$94\,645 in the last financial year. Throughout the year, her employer deducted a total of \$23\,538.16 in PAYG tax instalments.

i

Use the table to calculate how much Emma must pay in income tax for the year.

ii

Emma also owes a Medicare levy of \$1892.90, in addition to her income tax. Will Emma receive a refund or will she still have tax owing?

iii

Hence, calculate the tax refund or tax owing.

g

Deborah earns an annual income of \$40\,000. Her total allowable deductions are \$1200, and she has already paid \$4800, in PAYG tax instalments throughout the year.

i

Calculate her taxable income.

ii

Using the tax table, calculate the income tax payable.

iii

Calculate the Medicare levy, which is 2\% of taxable income.

iv

Calculate the total amount she still owes after accounting for her PAYG tax instalments, income tax payable and Medicare levy.

22

For a gross income of \$41\,000, calculate the net income when:

a

Tax is \$10\,000 and superannuation is \$2200

b

Tax is \$13\,200, superannuation is \$3400 and insurance is \$2400

c

Tax is \$14\,100, rent is \$12\,500 and union fees are \$590

23

Dylan received his weekly pay slip. His hourly rate is \$23.22.

Complete the following table to find Dylan's gross pay, tax contribution, total deductions and overall net wage:

Hourly RateHoursPayDeductions
\$23.2239\text{Tax } (25\%)
\text{Superannuation}\$103.68
\text{Union}\$10.83
\text{Gross Wage}\text{Health Fund}\$22.51
\text{Net Wage}\text{Total Deductions}
24

A labourer is paid a gross annual salary of \$49\,800. Each week he contributes 3\% of his gross pay to a voluntary superannuation fund. His other weekly deductions are \$181.50 PAYG tax and \$7.80 for union fees. Assume there are 52 weeks in a year.

a

Calculate the total weekly deductions.

b

Calculate the net weekly income.

25

Justin has a gross salary of \$56\,034.27 with an annual income tax deduction of \$10\,614.39, a superannuation contribution of 9.5\% of his gross salary and a health insurance contribution of \$94 per week, for 52 weeks.

Calculate his net annual income.

26

Amelia’s employer deducts a percentage of her income in tax. She sees the fortnightly amount deposited into her account is \$1924 and knows that she earns an annual gross income of \$62\,530.00. Assume there are 52 weeks in a year.

a

Calculate her net annual income.

b

Calculate the rate at which she is being taxed. Round your answer to the nearest whole percentage.

Goods and services tax
27

In each of the following parts, you are given the original price of a good. Calculate the 10\% goods and services tax (GST) applicable:

a

\$40

b

\$68

c

\$58

d

\$89

28

Tina's doll house cost \$100, excluding the 10\% goods and services tax (GST).

a

How much GST will Tina get charged?

b

Find the total amount Tina pays for her doll house.

29

Darry buys a robot vacuum cleaner for \$675, including GST.

a
What percentage of the original price is the sale price including GST?
b

What was the original sale price (without GST) of the vacuum?

c
Hence, calculate the amount of GST included in the sale price.
30

The sales price of an item, including GST, is \$26. Calculate the price of the item without GST.

31

After 10\% GST was added, the price of a mobile phone was \$453. Find its original price before GST.

32

Fruits and vegetables do not incur GST of 10\%. If the total shopping bill is \$112, and fruits and vegetables amount to \$79, find the cost of the other items prior to adding GST.

33

John received a bill of \$68 for consultation and \$10 for herbal supplements from a medical professional. If GST is only applied to the consultation fee, what is the total bill that John must pay?

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

VCMNA304

Solve problems involving simple interest.

What is Mathspace

About Mathspace