Kylie made a profit of 40% from the sale of a windbreaker and a profit of 60% from the sale of a jacket. The total profit she made from the two items was $80. She later sold a similar windbreaker at a discount of 25% off the advertised price. Her total profit for the three items then increased to $83.25.

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

	Windbreaker 1	Jacket 1	Windbreaker 2
Cost Price	5 u	5 p	5 u
Profit	+ 2 u	+ 3 p	+ 2 u
Selling Price	7 u	8 p	7 u
Discount			- 1.75 u
Discounted Price			5.25 u

100% + 40% = 140%
140% = ¹⁴⁰₁₀₀ = ⁷₅

100% + 60% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

(a)
Selling price of the windbreaker
= 100% of the price of the windbreaker + 40% of the price of the windbreaker
= 5 u + 2 u
= 7 u

Selling price of the jacket
= 100% of the price of the jacket + 60% of the price of the jacket
= 5 p + 3 p
= 8 p

Price of the second windbreaker after 25% discount in percentage
= 100% - 25%
= 75%

Price of the second windbreaker after 25% discount in units
= 75% x 7 u
= ⁷⁵₁₀₀ x 7 u
= 5.25 u

Profit made for the second windbreaker in units
= 5.25 u - 5 u
= 0.25 u

0.25 u = 83.25 - 80 = 3.25

1 u = 3.25 ÷ 0.25 = 13

2 u + 3 p = 80
2 x 13 + 3 p = 80
26 + 3 p = 80

3 p
= 80 - 26
= $54

Profit made on the jacket = $54

(b)
1 p = 54 ÷ 3 = 18

Selling price of the jacket
= 8 p
= 8 x 18
= $144

Answer(s): (a) $54; (b) $144