Question 1045760
Cost for 1 shoe-pair, c.


Price as Mark-up, {{{1.3c}}}.


On-Sale 15% Off, price is 85% of the Markup price, so {{{(0.85)(1.3)c}}}.


25% Off Additional, upon going to clearance rack - ambiguous to me, but to understand based on the mark-up price, this should mean  {{{(0.85)(1.3)c-(0.25)(1.3)c}}}, 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 {{{(0.85)(1.3)c-(0.25)(1.3)c}}}.  
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This price based on the coupon with all the other percentage changes is 
{{{(0.85)(1.3)c-(0.25)(1.3)c-(0.05)((0.85)(1.3)c-(0.25)(1.3)c)}}}.
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 {{{v*c}}}.


The profit, finally, for the store, will be  {{{v*c-c}}}.
To make into PERCENT PROFIT,  {{{(vc-c)/c)100}}}, or really just your value of {{{(v-1)100}}}.


Process done was take each percentage change step by step.