Question

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?

Answer 1

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

Answer 2

`m=(s-c)/(c)`

Explanation:

The given expression is

`s=c+mc`

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

`s=c+mc\\s-c=mc\\(s-c)/(c)=m\\m=(s-c)/(c)`

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