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A particular style of jacket costs the retailer $90 per jacket. At what price should the retailer mark them so he can sell them at a 10% discount off the original price and still make 40% profit on his cost?

Respuesta :

STEP - BY - STEP EXPLANATION

What to find?

The price the retailer should marked them.

Given:

Cost per pair = $90

Sold at 10% discount

40% profit.

Selling price for 40% profit of the cost is;

[tex]\begin{gathered} 90+40\text{ \% of 90} \\ =90+36 \\ \\ =126 \end{gathered}[/tex]

Let S be the price the retailer mark them.

[tex]S-10\text{ \% of S=126}[/tex][tex]\begin{gathered} S-0.1S=126 \\ \\ 0.9S=126 \end{gathered}[/tex]

Divide both-side of the equation by 0.9

[tex]S=140[/tex]

Hence, he need to mark them at the price of $140

ANSWER

$140

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