Question 280053
let's say the list price is 100
75 is purchase price
a profit of 25% of the list price would be 125 which would be 25 dollars

if the marked price is 100 then her profit would be 100-75=25  which would be the 25 dollars she wants to make

but she hasn't given the 20% discount yet

so if she marks the item at 120  and gives a 20% discount 
1/5*125=25
100 would be the selling price which we need.
so the marked price 125 is 125% of the list price.
but her real profit (profit over cost) is 50/75=67%