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?
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
OMG TYSM!!