Question

How to find MP when discount percent and SP are given​

Answer 1

Given:

Consider the discount percent and SP are given​.

To find:

The MP.

Solution:

Let x% be the discount percent Then

$SP=MP-x\%\text{ of }MP$

$SP=MP-\dfrac{x}{100}MP$

$SP=\left(1-\dfrac{x}{100}\right)MP$

$SP=\left(\dfrac{100-x}{100}\right)MP$

Multiply both sides by 100.

$100SP=(100-x)MP$

Divide both sides by $(100-x)$.

$\dfrac{100}{100-x}SP=MP$

Therefore, the formula for MP is $MP=\dfrac{100}{100-x}SP$, where x is the discount percentage.