A computer company gives a discount of 10% on a new piece
of software. If it makes a profit of 4%, what percent does the marked
price exceed the cost price?
cost price ---- x
final selling price = 1.04x
but that represents 90% of the marked price
so the marked price = 1.04x/.9 = 1.1555...x
so the marked price is 15.55..% higher than the cost price.
e.g.
suppose the cost price is $100
marked up price = 100(1.155...) = 115.56
now lets reduce that by 10% to get a selling price of .9(115.56) = 104.004
profit = $4.00
which on a $100 is 4%