A CD player that normally costs $200 is on sale for 20% off. If a salesperson makes a 6% commission on sales, how much would he get for selling this CD player?

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Answer 1 · 2018-05-30T10:24:44

#9.6#

The CD player usually costs #200#, but if it's #20%# off, then you will pay #80%# of the full price:

#200 * 80/100 = 160#

When you sell the CD player, you gain #6%# of the selling price, which is #160#, so

#160 * 6/100 = 9.6#

Answer 2 · 2018-05-30T10:26:55

See a solution process below:

First, we need to determine the sales price of the CD player. A formula for determining the sales price of an item is:

#s = p - pd# Where:

#s# is the sales price: what we are solving for in this problem.

#p# is the regular price of the item: $200 for this problem.

#d# is the sales discount: 20% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 20% can be written as #20/100#.

Substituting and calculating #s# gives:

#s = $200 - ($200 * 20/100)#

#s = $200 - ($4000)/100#

#s = $200 - $40#

#s = $160#

The Sales Price of the CD Player is: #$160#

We now need to determine what is: 6% of $160.

Again, "Percent" or "%" means "out of 100" or "per 100", Therefore 6% can be written as #6/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the commission we are looking for "c".

Putting this altogether we can write this equation and solve for #c# while keeping the equation balanced:

#c = 6/100 xx $160#

#c = ($960)/100#

#c = $9.60#

The Salesperson would make: #color(red)($9.60)#