Question

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?

Answer 1

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;

`\begin{gathered} 90+40\text{ \% of 90} \\ =90+36 \\ \\ =126 \end{gathered}`

Let S be the price the retailer mark them.

`S-10\text{ \% of S=126}`
`\begin{gathered} S-0.1S=126 \\ \\ 0.9S=126 \end{gathered}`

Divide both-side of the equation by 0.9

`S=140`

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

ANSWER

$140