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Math Help - markdown

  1. #1
    Member
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    markdown

    I'm having a hard time understanding this question

    Workwear Station uses a markup on cost of 60% to establish its retail prices. This pricing rule builds in a profit of 25% of cost. What rate of markdown can Workwear Station offer and just break even on the reduced price?

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  2. #2
    MHF Contributor
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    You must first define what you mean by "markup". There are two prevailing versions and they are equally simple to implement so one really cannot be construed over the other.

    1) Markup is a percentage of the Wholesale Price. Theoretical limits [0,\infty] Example: Cost = $50, Markup = 60%; Retail Price: $50 + 0.60*$50 = $50 + $30 = $80

    2) Markup is a percentage of the Retail Price. Theoretical limits [0,1] Example: Cost = $50, Retail Price = $80, Markup = (80-50)/80 = 30/80 = 37.5%

    As far as the second part of your question, I am confused by it. How can a 60% markup result in a 25% profit?

    Using C = Wholesale Cost

    1) C + 0.6*C = 1.6*C = Retail Price, Profit = 60%. It's just the way this markup works.

    2) Markup/(C + Markup) = 60% ==> Markup = 150%*C

    Maybe I'm just not seeing it, but I'm not.
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