Question

a department store sells a pair of shoes with an 87% markup. if the store sells the shoes for $192.61 then what is their non - markup price? $87 $103 $142 $187

Explanation:

Step1: Define variables and formula

Let $C$ = non-markup (cost) price. The selling price $S$ is cost plus 87% markup:
$$S = C + 0.87C = 1.87C$$

Step2: Solve for cost price

Rearrange to solve for $C$, substitute $S = 192.61$:
$$C = \frac{192.61}{1.87}$$

Step3: Calculate the value

Perform the division:
$$C = 103$$

Answer:

$103$ (Option: $103$)