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A salesman buys a coat at a $12.5 \%$ discount off of $\$64$. He then sells the coat at a gain of $25\%$ of his cost after allowing a $20\%$ discount on the marked price. What is the marked price, in dollars, of the coat?

 Jun 3, 2021
 #1
avatar+119780 
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12.5%  discount   =   100  -  12.5  =   87.5%

 

So

 

64  (.875)  =   $56   =  his  cost

 

25%  of  his cost =   56  /4  = $14

 

So.......

 

Marked Price ( 1.00  - .20)  -  Cost  =  14

 

Marked Price   ( .80)  -  Cost     =    14

 

M  (.8)  -   56   =  14

 

M(.8)  =   70

 

M  = 70/ .8     =   $87.50  =  Marked Price  

 

 

cool cool cool

 Jun 3, 2021
 #2
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+1

OMG TYSM!!

 Jun 3, 2021

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