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1 An employee’s normal rate of pay is $12 per hour. Find her overtime rate of pay at the:
a time and a half rate b double time rate
2 Merv is a motor car mechanic. His normal rate of pay is $16 per hour. How much overtime pay would Merv earn by working for:
a 3 hours at the time and a half rate? b 4 hours at the double time rate?
3 For how many hours would a person need to work at the normal hourly pay rate in order to earn the same amount of money as that earned for working:
a 5 hours at the double time rate? b 4 hours at the time and a half rate?
4 Calculate the total pay for a week in which a tradesperson works:
a 37 hours at $16/h and 4 hours at the time and a half rate b 39 hours at $20.85/h and 3 hours at the double time rate c 32 hours at $21.50/h and 3 hours at the time and a half rate d 36 hours at $17.40/h and 5 hours at the double time rate
e 38 hours at $15.65/h, 2 hours at the time and a half rate and 4 hours at the double time rate
Example 2
Juanita works as a waitress and is normally paid $324 for a 30-hour week. For how many hours would she have worked in a week where her total pay is $405 if all overtime is paid at the time and a half rate?
Solution
∴ Juanita worked for 35 hours.
Example 3
Keryn’s annual salary is $29 744.
At Christmas, Keryn takes her annual holidays and is paid 4 weeks normal pay plus a holiday leave loading of 17 on this amount.
a Calculate the holiday leave loading.
b Find Keryn’s total holiday pay.
Solutions
a i 4 weeks normal pay= $29 744 ÷ 52 × 4
= $2288 ii Holiday loading= 17 % of $2288
= 0.175 × $2288
---■ Consolidation
5 Harry is an electrician who this week worked for 40 hours at the normal rate of $19.40 per hour and 6 hours overtime at the time and a half rate. Find Harry’s total pay for the week.
6 A plumber worked for 36 hours at $22.50 per hour and 3 hours overtime at the double time rate. Calculate his total pay for the week.
7 Elise is a textile worker. She is paid $12.30/h for the first 40 hours, time and a half for the next 5 hours and double time thereafter. Calculate her pay for a week when she works:
a 40 hours b 44 hours c 50 hours
8 A construction worker earns $17.25/h for the first 38 hours worked and double time thereafter. Find his total pay for a week when he worked for 46 hours.
9 Antoinette is paid at the rate of $14.50/h before 1 pm and at the time and a half rate after 1 pm. Find her total pay for a week when she worked 10 am–5 pm, Monday to Friday.
10 Hayden’s normal rate of pay is $24 per hour, Monday to Friday. He is paid at the time and a half rate after 6 pm during the week and at the double time rate on weekends. Calculate Hayden’s total pay for a week when he worked the following hours.
• Mon.—10 am to 6 pm • Tues.—10 am to 6 pm • Wed.—10 am to 8 pm
• Thurs.—1 pm to 9 pm • Sat.—10 am to 4 pm
11 Calculate the number of overtime hours worked by an employee who was paid:
a $20 per hour for the first 40 hours, earning $920 altogether, with overtime being paid at the double time rate
b $18.80 per hour for the first 31 hours, earning $780.20 altogether, with overtime being paid at the time and a half rate
c $17.45 per hour for the first 37 hours, earning $924.85 altogether, with overtime being paid at the double time rate
12 A tradesperson normally earns $636.50 for a 38-hour week. For how many hours would she have worked in a week where her total pay is $804, if all overtime is paid at the double time rate?
13 Calculate the normal hourly rate of pay for an employee who was paid:
a $649.30 for working 34 hours at the normal rate and 6 hours at the time and a half rate b $1029 for working 32 hours at the normal rate and 5 hours at the double time rate c $684.45 for working 36 hours at the normal rate and 3 hours at the time and a half rate 14 A locksmith worked for 36 hours at $14.70/h and 6 hours overtime at the double time rate.
a Calculate his total pay for the week.
b How much less would the locksmith be paid if the overtime was paid at the time and a half rate?
15 Last week, a groundsman worked for 34 hours at $13.80 per hour and 8 hours overtime, which was paid at the time and a half rate.
a How much was the groundsman paid for the week?
b For how many hours would he need to work at the normal rate to earn the same amount of money?
16 Madeleine’s employer gave her a Christmas bonus equivalent to 3% of her annual salary.
Find Madeleine’s bonus if she normally earns $1950 per fortnight.
17 An advertising salesman was given a bonus of 20% of one month’s pay as a reward for creating a series of successful advertising campaigns. Find the amount of his bonus if he usually earns $840 per week.
18 Leave loading is an annual bonus calculated on 17 % of 4 weeks normal pay. Find the holiday leave loading that is due to an employee who earns:
a $640 per week b $1106 per fortnight
c $3120 per month d $48 340 per year
19 Pedro works for 38 hours each week and is paid $16.25 per hour. At Christmas, Pedro takes his annual 4 weeks leave. He is paid 4 weeks pay plus 17 % leave loading on this amount.
Calculate Pedro’s total holiday pay.
20 A stockbroker earns an annual salary of $82 460. Calculate her total holiday pay if she takes her annual 4 weeks leave in July.
■ Further applications
21 Calculate the fortnightly salary of an employee whose 4 weeks annual leave loading amounts to $980.
22 Surangi was paid $3946 when she took her annual 4 weeks leave. This amount is composed of her normal 4 weeks pay, holiday leave loading plus a bonus of $280. Find Surangi’s normal fortnightly pay.
A person’s total income before any amounts are deducted is called their gross income. Typical deductions include income tax, superannuation, union fees and medical insurance. The amount of money remaining after the deductions have been made is called the net income.