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Chapter 4.4.1--Markup problems Chapter 4.4.1--Markup problems ...

Chapter 4.4.1--Markup problems Chapter 4.4.1--Markup problems ...

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<strong>Chapter</strong> <strong>4.4.1</strong>--<strong>Markup</strong> <strong>problems</strong><br />

<strong>Chapter</strong> <strong>4.4.1</strong>--<strong>Markup</strong> <strong>problems</strong><br />

There are two basic markup equations. Usually you have to use both to answer a question<br />

of this type.<br />

The Equations:<br />

S C M<br />

M r C<br />

where:<br />

S represents Selling Price<br />

C represents Cost<br />

M represents <strong>Markup</strong> amount (in dollars)<br />

r represents <strong>Markup</strong> Rate (usually given as a percent)<br />

Question 5: "An electronics store uses a markup rate of 58%. Find the selling price of a<br />

camcorder that costs the store owner $358."<br />

Note that C 358 , and r 0.58 (Write r as a decimal.)<br />

Then using the second equation we get M 0.58 358 207. 64<br />

And using the first equation and this value of M we get S 358 207.64 565. 64<br />

The selling price is $565.64<br />

Question 6. Now you do this one: "The cost to a landscape artist for a 25 gallon tree is<br />

$65. Find the selling price of the tree if the markup rate used by the architect is 30%."<br />

C 65, r .3<br />

S C M<br />

M r C<br />

Now fit the numbers into the two equations:<br />

S 65 M<br />

M .3 65 19. 5<br />

S 65 19.5 84.5<br />

The selling price is $84.50<br />

© W Clarke 1 10/26/2004


<strong>Chapter</strong> <strong>4.4.1</strong>--<strong>Markup</strong> <strong>problems</strong><br />

Question 17: "A markup rate of 25% is used on a computer that has a selling price of<br />

$2187.50. Find the cost of the computer."<br />

Note that S 2187.5 and r 0.25 .<br />

S C M<br />

M r C<br />

Now fit the numbers into the two equations:<br />

2187.5 C M<br />

M 0.25 C<br />

Substitute<br />

2187.5 C 0.25C<br />

2187.5 1.25C<br />

Solution is: 1750. 0<br />

Cost price is $1750<br />

Question 16. Now you do this one: "A digitally recorded compact disc has a selling price<br />

of $18.90. The markup rate is 40%. Find the cost of the CD."<br />

S 18.90, r 0.40<br />

S C M<br />

M r C<br />

Now fit the numbers into the two equations:<br />

18.90 C M<br />

M 0.40C<br />

Substitute for M<br />

18.90 C 0.40C<br />

18.90 1.40C<br />

C 18.90<br />

1.40<br />

C 13.50<br />

The cost of the CD is $13.50<br />

© W Clarke 2 10/26/2004

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