Given:
Consider the discount percent and SP are given.
To find:
The MP.
Solution:
Let x% be the discount percent Then
[tex]SP=MP-x\%\text{ of }MP[/tex]
[tex]SP=MP-\dfrac{x}{100}MP[/tex]
[tex]SP=\left(1-\dfrac{x}{100}\right)MP[/tex]
[tex]SP=\left(\dfrac{100-x}{100}\right)MP[/tex]
Multiply both sides by 100.
[tex]100SP=(100-x)MP[/tex]
Divide both sides by [tex](100-x)[/tex].
[tex]\dfrac{100}{100-x}SP=MP[/tex]
Therefore, the formula for MP is [tex]MP=\dfrac{100}{100-x}SP[/tex], where x is the discount percentage.
