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2.08 Financial calculations

Worksheet
Budgeting and personal finance
1

A weekly budget is shown in the table:

a

Calculate the weekly expenses.

b

Calculate the weekly savings.

c

Calculate the percentage of income saved correct to two decimal places.

d

Calculate the percentage of income spent on mortgage payments correct to two decimal places.

e

Calculate the amount paid on the mortgage in one year.

Income Expenses
\text{Earnings}\$505\text{Mortgage}\$147
\text{Electricity} \$23
\text{Food} \$64
\text{Council Rates} \$22
\text{Insurance} \$20
\text{Water} \$64
\text{Clothing} \$46
\text{Entertainment} \$56
2

James's monthly expenses include: rent, food, pay TV, travel, insurance, clothing, repairs.

a

Determine whether the following expenses are fixed:

i

Pay TV

ii

Travel

iii

Insurance

iv

Clothing

v

Repairs

vi

Rent

b

Determine whether the following expenses are variable:

i

Pay TV

ii

Travel

iii

Insurance

iv

Clothing

v

Repairs

vi

Rent

3

Amelia earns a weekly salary of \$723 and receives income from other sources of \$126. Her weekly expenses are: rent \$199, groceries \$51, petrol \$33, electricity \$33, telephone \$23, magazines \$13 and clothes \$62. Calculate:

a
Her weekly income
b
Her weekly expenses
c
Her weekly savings
d
Her annual savings
4

Julie earns \$610 per week. Her weekly work related expenses are \$185 on travel and \$86 on lunch. What percentage of her weekly income goes towards work related expenses? Round your answer to two decimal places.

5

Amerie pays rent of \$239 per week, and must budget for electricity and water costs of \$533 per quarter.

a

How much is the weekly cost of water and electricity?

b

How much should Amerie put aside each week to cover her expenses?

6

Sally earns a weekly salary of \$1195 and receives income from other sources of \$181. Her weekly expenses are on the right:

Calculate:

a

The percentage of income saved, correct to two decimal places.

b

The percentage of income spent on magazines and clothes, correct to two decimal places.

c
The amount of rent paid annually.
d

The number of full weeks needed to accumulate enough savings to pay for a holiday that costs \$3800.

  • Rent \$122

  • Groceries \$97

  • Petrol \$60

  • Electricity \$46

  • Telephone \$28

  • Magazines \$10

  • Clothes \$79

7

Last month Neil saved \$235, which was 15\% of his income.

a

Find 1\% of his income last month.

b

Find his total income last month.

8

Lauren earns a gross annual salary of \$34\,500. She must pay income tax of 24\% plus other expenses adding up to \$19\,650 per annum.

a

Calculate her annual income tax.

b

Calculate her annual expenses, including the income tax.

c

Calculate her annual savings.

d

Lauren wants to put aside equal monthly amounts towards starting her own business. Calculate the amount she has left to set aside each month.

9

Luke’s weekly expenses vary slightly from week to week. His expenses in the first 3 weeks are \$225, \$218 and \$208. If he can only afford to have an average weekly expense of \$221 every four weeks, calculate the maximum expense he can have in the fourth week.

10

A company’s advertising cost is 2 times its technology cost, and production cost is 8 times the advertising cost. If advertising, technology and production cost \$142\,000 in total, calculate the cost of advertising.

11

Christa’s expenses currently represent 30\% of her \$920 weekly income. If her expenses increase by 5\%, what percentage of her income will expenses take up?

12

Todd's current income of \$327 is to increase by \$6.54, but his current expenses of \$114.45 are also set to increase by 4\%.

a

What percentage of his income is currently consumed by expenses?

b

Calcuate the increased value of the income.

c

Calcuate the increased value of the expenses.

d

Calcuate the percentage of income consumed by expenses after the increases. Give your answer to two decimal places if necessary.

e

Calculate the change in percentage of his income consumed by expenses.

13

Tina wants to take out a car loan, making regular monthly repayments. She expects the other costs to be:

  • \$50 per week for petrol

  • \$110 per month for insurance

  • \$40 per annum for the renewal of her driver's license

  • \$310 every six months for servicing

  • \$750 per annum for her Green Slip (third party insurance)

  • \$600 per annum for registration

a

Calculate the equivalent annual cost of the following:

i

Petrol

ii

Insurance

iii

License

iv

Servicing

v

Green Slip

vi

Registration

b

What is the total annual cost of running the car?

c

If Tina has an annual income of \$59\,000, and can spend 19\% of it on buying and running the car, calculate the maximum monthly repayment she can afford to make.

Overtime and extra income
14

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?

15

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.

16

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

17

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

18

For each week, Sarah 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

19

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.

20

A job advertisement states that the hourly wage based on a 35-hour working week is \$38 and that there is a 17\% holiday loading on 4 weeks wages. How much holiday loading would the employee receive?

21

Calculate the value of a 7\% annual bonus, for an income of:

a

\$88\,000 per annum.

b

\$7000 per month.

c

\$3900 per fortnight.

d

\$1500 per week.

22

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.

23

Jack needs to earn \$381.15 this week to cover his expenses. His normal hourly rate is \$12.10 and he is rostered to work 24 normal hours from Monday to Friday.

a

How much will he earn from Monday through to Friday?

b

Calculate the amount he needs to earn on Saturday.

c

Hence, calculate how many hours Jack must work on Saturday, where he will earn time-and-a-half.

24

An employee is given a 13\% bonus on his annual income. This bonus amounted to \$19\,000. Calculate his annual income.

25

An advertising executive is offered a bonus in the form of a percentage of the increase in sales of the product. If sales increase by \$173\,950 and the executive receives a bonus of \$11\,654.65, what was the percentage rate of his bonus, correct to one decimal place?

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