Solution:
Margin = (Sales price - cost)/sales ; markup = (sales price - cost)/cost
So,
a) Margin = (25 - 5)/25 = 0.8 or 80%
b) Markup = (50 - 10)/10 = 4 or 400%
c) Markup can also be written as: sales price/cost - 1, so, with markup of 44%, we have
0.44 = sales/cost - 1
sales/cost = 1.44
So, margin = 1 - cost/sales = 1 - 1/1.44 = 0.30556 or 30.556%
d) Margin = 1 - cost/sale price
So, 0.35 = 1 - 94/sale price
sale price = 94/(1 - 0.35) = $144.615
e) Sales price = cost*(1 + markup) = 45*(1 + 0.65) = 74.25
So, margin = (74.25 - 45)/74.25 = 0.3939 or 39.39%
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