Question 1181721
the retailer increases the wholesale price by 36%.
this makes the ticket price 36% more than the wholesale price.
if the retailer than offers the item with a 25% discount, then the sale price is equal to 75% of the ticket price.


let W = the wholesale price.
let T = the ticket price
let S = the sale price.


you are given that T = W + .36 * W = 1.36 * W
you are also given that S = T - .25 * T = .75 * T


you have T = 1.36 * W and S = .75 * T


in the formula of S = .75 * T, replace T with its equivalent value of 1.36 * W to get:


S = .75 * 1.36 * W)


simplify this to get:


S = 1.02 * W


let P = the profit.


off the ticket price, P = T - W = 1.36 * W - W = .36 * W = 36%


off the sale price, P = S - W = 1.02 * W - W = .02 * W = 2%.


if you assume that W = 900, then these formulas become:


T = 1.36 * W = 1.36 * 900 = 1224


S = .75 * T = .75 * 1224 = 918.


if you pay the sale price, then you pay 918 for the item that cost the retailer 900.
the retailer makes a profit of 918  minus 900 = 18 on the item.
that profit is equal to 18/900 = .02 which is 2% of the wholesale price.