smc-4331-20-Commission

v1 Financial Maths, STD2 F1 2014 HSC 13 MC

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`

Show Worked Solution

`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`

Financial Maths, SMB-003 MC

David has a job selling mobile phone plans. His weekly salary, `W` dollars, is calculated using the rule below:

`W = 300 + 0.05 P`

where `P` is the total value in dollars of the mobile phone plans he sells that week.

David sold $32 000 worth of mobile phone plans in a given week.

What was David's salary in the week?

`$640`
`$1280`
`$1900`
`$3230`

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`C`

Show Worked Solution

`W`	`= 300 + 0.05 xx 32\ 000`
	`= 300 + 1600`
	`= 1900`

`=>C`

Financial Maths, STD2 F1 2006 HSC 5 MC

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?

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`B`

Show Worked Solution

`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`

Financial Maths, STD2 F1 2014 HSC 13 MC

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?

$188.40
$208.40
$321.85
$652.05

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`B`

Show Worked Solution

`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`