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The selling price, s, of an item is s = c + mc, where c is the cost of the item and m is the percent markup based on cost. What is the formula solved for m?

Respuesta :

xly
s=c+mc
s-c=mc
(s-c)/c=m
m=(s-c)/c

Answer:

[tex]m=\frac{s-c}{c}[/tex]

Step-by-step explanation:

The given expression is

[tex]s=c+mc[/tex]

Now, to find the expression for [tex]m[/tex], we just have to isolate it. First, we have to move the term [tex]c[/tex] to the other side of the equation, and then to move the coefficient [tex]c[/tex], which is gonna pass to the other side dividing.

[tex]s=c+mc\\s-c=mc\\\frac{s-c}{c}=m\\m=\frac{s-c}{c}[/tex]

Therefore, the percent markup is defined as the difference between the selling price and cost, divided by that cost.

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