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A car salesperson at a Sydney dealership earns commission on a sliding scale:
Last month, the salesperson made total sales of $72 000.
Calculate the salesperson's commission for the month. (2 marks)
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\(\$4360\)
\(\text{Commission on first}\ \$20\,000=0.04\times 20\,000=\$800\)
\(\text{Commission on next}\ \$30\,000=0.06\times 30\,000=\$1800\)
\(\text{Sales above}\ \$50\,000= 72\,000- 50\,000=\$22\,000\)
\(\text{Commission on}\ \$22\,000=0.08\times 22\,000=\$1760\)
\(\text{Total commission}= 800+ 1800+ 1760=\$4360\)
A real estate agent's commission for selling apartments is 2.5% for the first \(\$400\,000\) of the sale price and 1.5% for any amount over \(\$400\,000\).
Calculate the commission earned in selling an apartment for \(\$720\,000\). (2 marks)
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\(\$14\,800\)
\(\text{Commission on first}\ \$400\,000 =2.5\%\times 400\,000=\$10\,000\)
\(\text{Amount over}\ \$400\,000= 720\,000- 400\,000=\$320\,000\)
\(\text{Commission on remainder}=1.5\%\times 320\,000=\$4800\)
\(\text{Total commission}= 10\,000+ 4800=\$14\,800\)
Mark works as a car salesperson. His commission is based on a sliding scale of 5% on the first $3000 of his sales, 3% on the next $1500, and 1.5% thereafter.
What is Mark’s commission when his total sales are $6,250?
`D`
`text(Commission)`
`= (3000 xx text(5%)) + (1500 xx text(3%)) + (6250-4500) xx text(1.5%)`
`= (3000 xx 0.05) + (1500 xx 0.03) + (1750 xx 0.015)`
`= 150 + 45 + 26.25`
`= 221.25`
`=> D`
A real estate agent's commission for selling houses is 2% for the first `$800\ 000` of the sale price and 1.5% for any amount over `$800\ 000`.
Calculate the commission earned in selling a house for `$1\ 500\ 000`. (2 marks)
`$26\ 500`
| `text{Commission}` | `=800\ 000 xx 2text{%} + (1\ 500\ 000-800\ 000) xx 1.5text{%}` | |
| `=800\ 000 xx 0.02 + 700\ 000 xx 0.015` | ||
| `=$26\ 500` |
A salesman earns $200 per week plus $40 commission for each item he sells.
How many items does he need to sell to earn a total of $2640 in two weeks?
`B`
`text(Let items sold) = n`
`text{Wages over 2 weeks}\ (w)`
`= (2 xx 200) + 40n=400 + 40n`
`text(Find)\ n\ text(when)\ w = 2640:`
| `2640` | `= 400 + 40n` |
| `40n` | `= 2240` |
| `n` | `= 56` |
`=> B`
A real estate agent sells a house for `$400\ 000`. From the selling price he earns `$10\ 000`
for his services.
Which term is used to describe the money he earns?
`A`
`text(Commission)`
`=> A`
Bob is employed as a salesman. He is offered two methods of calculating his income.
\begin{array} {|l|}
\hline
\rule{0pt}{2.5ex}\text{Method 1: Commission only of 13% on all sales}\rule[-1ex]{0pt}{0pt} \\
\hline
\rule{0pt}{2.5ex}\text{Method 2: \$350 per week plus a commission of 4.5% on all sales}\rule[-1ex]{0pt}{0pt} \\
\hline
\end{array}
Bob’s research determines that the average sales total per employee per month is $15 670.
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a. `text(Method 1)`
`text(Yearly sales)= 12 xx 15\ 670= 188\ 040`
`:.\ text(Earnings)= text(13%) xx 188\ 040= $24\ 445.20`
b. `text(Method 2)`
`text(In 1 Year, Weekly Wage)= 350 xx 52= 18\ 200`
`text(Commission)= text(4.5%) xx 188\ 040= 8461.80`
`text(Total earnings)= 18\ 200 + 8461.80= $26\ 661.80`
`:.\ text(Bob should choose Method 2.)`
Jane sells jewellery. Her commission is based on a sliding scale of 6% on the first $2000 of her sales, 3.5% on the next $1000, and 2% thereafter.
What is Jane’s commission when her total sales are $5670?
`B`
`text(Commission)`
`= (2000 xx text(6%)) + (1000 xx text(3.5%)) + (5670-3000) xx text(2%)`
`= (2000 xx 0.06) + (1000 xx 0.035) + (2670 xx 0.02)`
`= 120 + 35 + 53.40= $208.40`
`=> B`