3B

Salaries, leave loading and bonuses

Converting an annual salary into weekly, fortnightly and monthly pay, comparing a salary with an hourly wage, annual leave loading of 17.5% and bonuses.

A salary is a fixed amount per year, usually paid weekly, fortnightly or monthly. Salaried workers get the same pay whether a week is busy or quiet, but they normally don't get overtime. Most full-time jobs advertised on Seek are listed as a salary, so you need to turn "$\$78{,}000$ a year" into what actually arrives each payday.

Pay periods

For Standard maths, a year has $52$ weeks, $26$ fortnights and $12$ months. Divide the salary by the number of pay periods.

PaidPay periods per yearFrom a $\$78{,}000$ salary
Weekly$52$$78\,000 \div 52 = \$1500$
Fortnightly$26$$78\,000 \div 26 = \$3000$
Monthly$12$$78\,000 \div 12 = \$6500$

To go the other way, multiply. To change between periods, go through the year: fortnightly to monthly is $\times 26 \div 12$.

Salary or wage?

To compare a job paying by the hour with one paying a salary, put both on the same footing, usually per year.

Example 1●●

Job A pays $\$34$ an hour for a $38$-hour week. Job B pays a salary of $\$66{,}000$. Which pays more per year, and by how much?

Job A: $34 \times 38 \times 52 = \$67\,184$
Weekly pay for Job A, then times 52 weeks.
$67\,184 - 66\,000 = \$1184$, so Job A pays $\$1184$ more
Subtract to compare.

Money isn't the whole story. A salaried job might expect unpaid extra hours, and a wage job pays overtime when you stay late. That's the kind of thing an extended-response question wants you to mention.

Annual leave loading

Full-time workers in Australia get $4$ weeks of paid annual leave a year. Many awards add leave loading of $17.5\%$ of the normal pay for the leave. The idea dates back to the 1970s: workers on holiday miss out on overtime and penalty rates they would have earned at work.

Leave loading
$$\text{Loading} = 17.5\% \times \text{normal weekly pay} \times \text{weeks of leave}$$
Example 2●

Kai earns $\$1240$ a week and takes $4$ weeks of annual leave with $17.5\%$ loading. Find his holiday pay.

$1240 \times 4 = \$4960$
Normal pay for the 4 weeks he is away.
$0.175 \times 4960 = \$868$
17.5% of that normal pay.
$4960 + 868 = \$5828$
Holiday pay is the normal pay plus the loading.
InteractiveSalary splitter and holiday pay
Try this

Set the salary to $\$78{,}000$ and check the table above. Then find a salary where the "4 weeks" mistake costs more than $\$600$ a month.

Set $4$ weeks of leave. Switch the loading off and on. Does the loading depend on the number of weeks of leave you take?

Bonuses

A bonus is an extra payment, often for meeting a target or at the end of the year. It may be a flat amount, a number of weeks' pay or a percentage of salary. A bonus of $3\%$ on a $\$78{,}000$ salary is $0.03 \times 78\,000 = \$2340$. Bonuses are taxed like ordinary income.

Your turn

Nadia is paid $\$2860$ a fortnight. Find her annual salary and her monthly pay, to the nearest cent.

Show the working

Annual: $2860 \times 26 = \$74\,360$. Monthly: $74\,360 \div 12 = \$6196.67$.

Flashcards
Pay periods in a year
$52$ weeks, $26$ fortnights, $12$ months
Leave loading
$17.5\%$ of normal pay for the weeks of leave
Holiday pay
Normal pay for the leave $\times 1.175$
Practice
  1. Find the weekly pay on a salary of $\$58{,}500$.

  2. Find the fortnightly pay on a salary of $\$71{,}500$.

  3. Find the monthly pay on a salary of $\$54{,}000$.

  4. Why is monthly pay not weekly pay times $4$?

  5. Leah earns $\$980$ a week. Find her $17.5\%$ leave loading for $3$ weeks of leave.

  6. Ben earns $\$1100$ a week and takes $4$ weeks' leave with $17.5\%$ loading. Find his total holiday pay.

  7. A job pays $\$31.50$ an hour for a $38$-hour week. What is the equivalent annual amount?

  8. A worker on $\$65{,}000$ gets a $4\%$ bonus. Find the bonus.

  9. Exam style: Chen's $17.5\%$ leave loading on $4$ weeks' normal pay was $\$826$. Find Chen's normal weekly pay.

  10. Exam style: A café job pays $\$33$ an hour for $38$ hours a week. An office job pays a salary of $\$64{,}000$. By how many dollars per year does the café job pay more?

Formula sheet