swetaprajapati908
Answered

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

Sagot :

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.

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