A department store sells a pair of shoes with an 87% markup. If the store sells the shoes for $193.21 then what is their non-markup price?

Question

math

Answer 1

Hi Gordon,

Your question: A department store sells a pair of shoes with an 87% markup. If the store sells the shoes for $193.21 then what is their non-markup price?

Given: 87% markup, markup price $193.21

Find: non-markup price.

/The markup would be equal to the original price + the markup amount

Markup price = non-markup price + 87%(non-markup price)

Let m=markup price

let u = non-markup price

m = u + (0.87)u

193.21 = 1.87 u

u = $103.32

So the unmarked up price would be $103.32

You can check to make sure.

u + 0.87u = ?

103.32 + 0.87(103.32) = $193.21 This is the correct marked up price, so it works out.