smc-7722-20-Commission

Financial Maths, STD2 F1 2022 HSC 21 (Adapted)

A real estate agent's commission for selling houses is 2% for the first $900 000 of the sale price and 1.5% for any amount over $900 000.

Calculate the commission earned in selling a house for $1 200 000. (2 marks)

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$\$22\ 500$

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$\text{Commission}$	$=900\,000 \times 2 \%+(1\,200\,000-900\,000) \times 1.5 \%$
	$=900\,000 \times 0.02+300\,000 \times 0.015$
	$=18\,000+4500$
	$=\$ 22\,500$

Financial Maths, STD2 F1 2014 HSC 13 MC (Adapted)

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?

$202.75
$210.50
$216.25
$221.25

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`D`

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`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`

\(\text{Commission}\)	\(=900\,000 \times 2 \%+(1\,200\,000-900\,000) \times 1.5 \%\)
	\(=900\,000 \times 0.02+300\,000 \times 0.015\)
	\(=18\,000+4500\)
	\(=\$ 22\,500\)