Tian is paid $20.45 per hour, as well as a meal allowance of $16.20 per day.
What are Tian's total earnings if she works 9 hours per day for 5 days?
- `$329.85`
- `$936.45`
- `$1001.25`
- `$1649.25`
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Tian is paid $20.45 per hour, as well as a meal allowance of $16.20 per day.
What are Tian's total earnings if she works 9 hours per day for 5 days?
`C`
`text{Earnings (5 days)}` | `=5 xx [(9 xx 20.45) + 16.20]` | |
`=5 xx 200.25` | ||
`=$1001.25` |
`=>C`
Julia earns $28 per hour. Her hourly pay rate increases by 2%.
How much will she earn for a 4-hour shift with this increase?
`D`
`text(Hourly rate)` | `= 28 xx 1.02` |
`= $28.56` |
`:.\ text(Shift earnings)` | `= 4 xx 28.56` |
`= $114.24` |
`=> D`
A nanny charges $15 per hour, or part thereof, for looking after a child.
What does the nanny charge for looking after a child from 8 am until 3.20 pm on a particular day?
`text(D)`
`text(8 am – 3:20 pm)` | `= 7\ text(hrs 20 mins)` |
`text(S)text(ince part of an hour is charged as a full hour,)`
`:.\ text(Charge)` | `= 8 xx 15` |
`= $120` |
`=>\ text(D)`
Tom earns a weekly wage of $1025. He also receives an additional allowance of $87.50 per day when handling toxic substances.
What is Tom’s income in a fortnight in which he handles toxic substances on 5 separate days?
`D`
`text(Fortnightly wage)` | `= 2 xx 1025` |
`= $2050` |
`text(Allowances)` | `= 5 xx 87.50` |
`= $437.50` |
`:.\ text(Income)` | `= 2050 + 437.50` |
`= $2487.50` |
`=>D`
Jenny earns a yearly salary of $63 752. Her annual leave loading is 17.5% of four weeks pay.
Calculate her total pay for her four weeks of annual leave. (3 marks)
--- 6 WORK AREA LINES (style=lined) ---
`$5762.20`
`text(4 weeks’ normal pay)`
`= 4/52 xx 63\ 752`
`= $4904`
`:.\ text(Annual leave pay)`
`= 4904(1 + 17.5/100)`
`= $5762.20`
Isabella works a 35-hour week and is paid at an hourly rate of $18. Any overtime hours worked are paid at time-and-a-half. In a particular week, she earned $1008.
How many hours in total did Isabella work in this week to earn this amount?
`=> C`
`text(Let)\ \ X=\ text(number of extra hours worked.)`
`text(Total wage)` | `= 35 xx 18 + X xx 27` |
`1008` | `= 630 + 27X` |
`27X` | `=378` |
`X` | `=14` |
`:.\ text(Total hours worked)\ =35+14=49`
`=> C`
David is paid at these rates:
His time sheet for last week is:
--- 6 WORK AREA LINES (style=lined) ---
--- 2 WORK AREA LINES (style=lined) ---
i. `text{Pay (Fri)}` | `= text(4 hours) xx 18.00` |
`= $72.00` | |
`text{Pay (Sat)}` | `= 6\ text(hours) xx 1.5 xx 18.00` |
`= $162.00` | |
`text{Pay (Sun)}` | `= 5\ text(hours) xx 2 xx 18.00` |
`= $180.00` |
`:.\ text(Gross pay)` | `= 72 + 162 + 180` |
`= $414.00` |
ii. `text(Pay on Sat) = $162.00`
`text(Weekly equivalent hours)`
`= 162/18`
`= 9\ text(hours)`
`:.\ text(He will have to work 9 extra hours on)`
`text(a weekday for the same gross pay)`
Stan worked for 24 hours as shown on his pay slip.
What was his hourly rate of pay?
(A) $11.20
(B) $12.13
(C) $14.56
(D) $18.20
`A`
`text(Let)\ X = text(normal time rate)`
`20X + (4 xx 1.5X)` | `= $291.20` |
`26X` | `= $291.20` |
`X` | `= $11.20` |
`:.\ text(Hourly rate of pay = $11.20)`
`=> A`
Joe is about to go on holidays for four weeks. His weekly salary is $280 and his holiday loading is 17.5% of four weeks pay.
What is Joe’s total pay for the four weeks holiday?
`D`
`text(Salary)\ text{(4 weeks)}` | `= 4 xx 280` |
`= $1120` |
`text(Holiday loading)` | `= 1120 xx 17.5%` |
`= $196` |
`:.\ text(Total pay)` | `= 1120 + 196` |
`= $1316` |
`=> D`
Luke’s normal rate of pay is $15 per hour. Last week he was paid for 12 hours, at time-and-a-half.
How many hours would Luke need to work this week, at double time, to earn the same amount?
`D`
`text(Amount earned last week)`
`= 12 xx 1.5 xx 15`
`= $270`
`text(Double time rate)` | `= 2 xx 15` |
`= $30 text(/hr)` |
`:.\ text(# Hours at double time)`
`= 270/30`
`= 9\ text(hrs)`
`=> D`
Simon is a mechanic who receives a normal rate of pay of $22.35 per hour for a 40-hour
week.
When he is needed for emergency call-outs he is paid a special allowance of $150 for that
week. Additionally, every time he is called out to an emergency he is paid for a minimum
of 4 hours at double time.
In the week beginning 2 February, 2011 Simon worked 40 hours normal time and was
needed for emergency call-outs. His emergency call-out log book for the week is shown.
What was Simon’s total pay for that week?
(A) $1189.28
(B) $1296.30
(C) $1334.55
(D) $1446.30
`D`
`text(Normal pay)` | `=40xx22.35` |
`=894.00` |
`text(Special Allowance)= 150.00`
`text(Emergency Calls)` | `= (5xx2xx22.35)+(4xx2xx22.35)` |
`=223.50+178.80` | |
`=402.30` |
`text(Total Weekly Pay)` | `=894.00+150.00+402.30` |
`=1446.30` |
`=> D`
This advertisement appeared in a newspaper
What is the maximum possible salary per annum for this civil engineer, correct to the nearest dollar? (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
`$86\ 396`
`text(Base wage)=1586.70\ text(pw)`
`text(Max weekly base)` | `=$1586.70+(text{3.5%}\ xx 1586.70)` |
`=1586.70+55.53` | |
`=1642.23\ text((nearest cent))` |
`:.\ text(Max annual base)` | `=1642.23xx52` |
`=85\ 395.96` | |
`=$85\ 396\ text{(nearest dollar)}` |
Billy worked for 35 hours at the normal hourly rate of pay and for five hours at double time. He earned $561.60 in total for this work.
What was the normal hourly rate of pay?
`B`
`text(Let hourly rate) = $X\ text(per hour)`
`35X + 5(2X)` | `= 561.60` |
`45X` | `=561.60` |
`X` | `= 561.60/45` |
`= $12.48` |
`=> B`
Su-Lin pays a monthly contribution of 5% of her salary into a superannuation fund. Her salary is `$81\ 600` per annum.
What is the amount of Su-Lin’s monthly contribution? (2 marks)
`$340`
`text(Annual super cont.)` | `=5 text(%) xx 81\ 600` |
`= $4080` |
`:.\ text(Monthly contribution)` | `= 4080/12` |
`= $340` |
Jo qualifies for both Rent Assistance and Youth Allowance and receives a fortnightly payment from the government.
Rent Assistance is $119.40 per fortnight.
The maximum Youth Allowance is $402.70 per fortnight. It is reduced by 50 cents in the dollar for any income earned over $236 per fortnight.
Jo earns $300 per fortnight from a part-time job.
What is the total payment Jo receives each fortnight from the government?
`D`
`text(Rent assistance)\ = $119.40`
`text(Youth allowance)` | `= 402.70\ text(less 50c per dollar)\ \ (text(income) > $236)` |
`= 402.70-0.5(300-236)` | |
`= 402.70-32` | |
`= $370.70` |
`:.\ text{Total Payment}` | `=119.40 + 370.70` | |
`=$490.10` |
`=> D`
An enterprise agreement has the following annual salary arrangements:
George's employer pays 6% more than the enterprise agreement. He is on Step 3 and receives an allowance for Leader 2.
What is George's gross monthly pay?
`D`
`text(Gross annual pay)` | `=(45\ 000+7500)xx1.06` |
`=$55\ 650` |
`:.\ text(Gross monthly pay)` | `=(55\ 650)/12` |
`=$4637.50` |
`=>\ D`
Luke's normal rate of pay is $24.80 per hour. In one week he worked 14 hours at the normal rate, 4 hours at time-and-a-half, and 3 .5 hours at double time. He was also paid a wet weather allowance of $50 for the week.
What was his pay for the week?
`D`
`text(Pay)` | `=(14xx24.80)+(4xx1.5xx24.80)+(3.5xx2xx24.80)+50` |
`=347.20+148.80+173.60+50` | |
`=$719.60` |
`=>D`