Wendy made a profit of 60% from the sale of a windbreaker and a profit of 80% from the sale of a dress. The total profit she made from the two items was $55. She later sold a similar windbreaker at a discount of 30% off the advertised price. Her total profit for the three items then increased to $60.40.

1. Find the profit made on the dress.
2. How much did she sell the dress for?

	Windbreaker 1	Dress 1	Windbreaker 2
Cost Price	5 u	5 p	5 u
Profit	+ 3 u	+ 4 p	+ 3 u
Selling Price	8 u	9 p	8 u
Discount			- 2.4 u
Discounted Price			5.6 u

100% + 60% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

100% + 80% = 180%
180% = ¹⁸⁰₁₀₀ = ⁹₅

(a)
Selling price of the windbreaker
= 100% of the price of the windbreaker + 60% of the price of the windbreaker
= 5 u + 3 u
= 8 u

Selling price of the dress
= 100% of the price of the dress + 80% of the price of the dress
= 5 p + 4 p
= 9 p

Price of the second windbreaker after 30% discount in percentage
= 100% - 30%
= 70%

Price of the second windbreaker after 30% discount in units
= 70% x 8 u
= ⁷⁰₁₀₀ x 8 u
= 5.6 u

Profit made for the second windbreaker in units
= 5.6 u - 5 u
= 0.6 u

0.6 u = 60.4 - 55 = 5.4

1 u = 5.4 ÷ 0.6 = 9

3 u + 4 p = 55
3 x 9 + 4 p = 55
27 + 4 p = 55

4 p
= 55 - 27
= $28

Profit made on the dress = $28

(b)
1 p = 28 ÷ 4 = 7

Selling price of the dress
= 9 p
= 9 x 7
= $63

Answer(s): (a) $28; (b) $63