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Question 1045760: Seriously can't handle this problem. A shoe store marks up the price of its shoes at 130 %130% over cost. A pair of shoes goes on sale for 15 %15% off and then on the clearance rack for an additional 25 %25% off. A customer walks in with a 5 %5% off coupon good on all clearance items and buys the shoes. Express the store's profits on these shoes as a percentage of the original cost.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website! Cost for 1 shoe-pair, c.
Price as Mark-up,  .
On-Sale 15% Off, price is 85% of the Markup price, so  .
25% Off Additional, upon going to clearance rack - ambiguous to me, but to understand based on the mark-up price, this should mean  , because of the specifier, "additional".
5% Off Coupons:
This is to be based on the On Sale 15% Off price! The customer will see whatever is the clearance shelf price of .
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This price based on the coupon with all the other percentage changes is
 .
As you view this expression on this page with its grouping symbols, watch the grouping symbols very carefully as you simplify this expression. You are going to find some coefficient, v to indicate a final customer price  .
The profit, finally, for the store, will be  .
To make into PERCENT PROFIT,  , or really just your value of  .
Process done was take each percentage change step by step.
Answer by josmiceli(19441)  (Show Source):
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