Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is of the selling price.

How much commission will the salesperson earn by selling a couch for $495?

How much money will the store get from the sale of the couch?

Question

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MrRoyal MrRoyal · Answer 1 · 2021-01-21T08:04:49+01:00

Answer:

[tex]Commission = \$27.225[/tex]

[tex]Store\ Owner = \$467.775[/tex]

Step-by-step explanation:

Giving

[tex]Selling\ Price = \$495[/tex]

[tex]Commission = 5\frac{1}{2}\%[/tex] --- Missing part of question

Solving (a): The commission of the salesperson

To do this, we multiply the selling price by the commission percentage:

[tex]Commission = 5\frac{1}{2}\% * \$495[/tex]

Convert mixed fraction to improper fraction

[tex]Commission = \frac{11}{2}\% * \$495[/tex]

[tex]Commission = \frac{11* \$495}{2}\%[/tex]

[tex]Commission = \frac{\$5445}{2}\%[/tex]

[tex]Commission = \$2722.5\%[/tex]

Express % as 0.01

[tex]Commission = \$2722.5 * 0.01[/tex]

[tex]Commission = \$27.225[/tex]

Hence, the salesperson will receive $27.225

Solving (b): The amount going to the store owner.

To do this, we subtract the commission from the selling price.

[tex]Store\ Owner = Selling\ Price - Commission[/tex]

[tex]Store\ Owner = \$495 - \$27.225[/tex]

[tex]Store\ Owner = \$467.775[/tex]