Question

A particular style of shoes costs the dealer $97 per pair. At what price should the dealer mark them so he can sell them at a 10% discount off the selling price and still make a 30%profit?

Answer 1

let selling price be x

.9x = 1.3(97)
x = 126.1/.9 = 140.11

check
marked selling price = 140.11
actual selling price = .9(140.11) = 126.10

profit = 126.10-97 = 29.10
percentage of profit based on cost price
= 29.10/97 = .29998969
= 30%

Answer 2

i wanted to ask where did u get .9x from and 1.3 from

Answer 3

A 10% discount means to take away 10% , leaving 90% or .9

a 30 % profit is 100% + 30% = 130% = 1.3