Kathy made a profit of 60% from the sale of a windbreaker and a profit of 80% from the sale of a skirt. The total profit she made from the two items was $119. She later sold a similar windbreaker at a discount of 10% off the advertised price. Her total profit for the three items then increased to $147.60.

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

	Windbreaker 1	Skirt 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			- 0.8 u
Discounted Price			7.2 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 skirt
= 100% of the price of the skirt + 80% of the price of the skirt
= 5 p + 4 p
= 9 p

Price of the second windbreaker after 10% discount in percentage
= 100% - 10%
= 90%

Price of the second windbreaker after 10% discount in units
= 90% x 8 u
= ⁹⁰₁₀₀ x 8 u
= 7.2 u

Profit made for the second windbreaker in units
= 7.2 u - 5 u
= 2.2 u

2.2 u = 147.6 - 119 = 28.6

1 u = 28.6 ÷ 2.2 = 13

3 u + 4 p = 119
3 x 13 + 4 p = 119
39 + 4 p = 119

4 p
= 119 - 39
= $80

Profit made on the skirt = $80

(b)
1 p = 80 ÷ 4 = 20

Selling price of the skirt
= 9 p
= 9 x 20
= $180

Answer(s): (a) $80; (b) $180