Is there an easier way to do this?

dnorr

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Feb 9, 2011
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A shoe store uses a 40% markup on cost. Find the cost of a pair of shoes that sells for $63.

63 = x + 0.40x
63 = 1x + 0.40x
63 = 1.40x
63 ÷ 1.40 = x= 45

Why do we add 1?
 
dnorr said:
A shoe store uses a 40% markup on cost. Find the cost of a pair of shoes that sells for $63.

63 = x + 0.40x
63 = 1x + 0.40x
63 = 1.40x
63 ÷ 1.40 = x= 45

Why do we add 1?
Hi dnorr,

What you have there seems like a reasonable approach. That's how I would do it.

On the right side of the equation you are combining x with 0.40x. That would be 1x + 0.40x to get 1.40x.

The reason you do that is this. The selling price ($63) is equal to the cost (x) plus 40% of the cost (x).

The markup is 40% of the cost and must be added to the cost to get the selling price.

I hope I haven't confused you.
 
One must remember that there are two common ways to do "Markup"

1) We have demonstrated above: Markup as a percentage of the Cost. There is ni upper bound to this type of markup.

(Cost + 0.40*Cost) = 1.40*Cost = Price = $63.00
Cost = $45.00
$63.00 - $45.00 = $18.00 = Markup of the first kind.

2) Not demonstrated is: Markup as a percentage for the selling price. Some like this better, as it has an upper bound.

$63.00 * 0.40 = $25.20 = Markup of the second kind.
$63.00 - $25.20 = $37.80 = Original Cost

If you are consulting with any business, you must make sure you know which one they like. Maybe both.
 
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