Question

at a boutique, an evening gown is marked at a profit of 40% on the cost price. it is sold in a sale at 20% discount.
a. Find the actual profit as a percentage of the cost price.
b. if a customer bought it for $448, find
i. the marked price
ii. the actual profit

Answer 1

let the cost price be x
original selling price = x + .4x or 1.4x
after 20% discound ...
final selling price = (.8)(1.4x) = 1.12x
which looks like a 12% profit based on cost

b) if x = 448
If by "marked" price you mean final selling price, then
1.12(448) = 501.76

actual profit = 501.76-448 = 53.76
or
.12(448) = 53.76