SOLUTION: suppose that a merchant buys a patio set from the wholesaler for $180. At what price should the merchant mark the patio set so that it may be offered at a discount of 25% but still

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Question 985518: suppose that a merchant buys a patio set from the wholesaler for $180. At what price should the merchant mark the patio set so that it may be offered at a discount of 25% but still give the merchant a 40% profit on his $180 investment
Thank you
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the amount to add to $180 for the initial retail price
%28180%2Bx%29%280.75%29, the discounting of 25%

%28180%2Bx%29%2A%280.75%29=180%281.4%29, left side is the discounted price, to be equal to 40 percent profit.

180%2Bx=180%2A%281.4%29%2F%280.75%29
x=180%281.4%29%2F%280.75%29-180
highlight%28x=156%29
Initial retail price would be 180%2B156=highlight%28336%29 dollars.