Hilda made a profit of 40% from the sale of a windbreaker and a profit of 80% from the sale of a vest. The total profit she made from the two items was $80. 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 $100.80.

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

	Windbreaker 1	Vest 1	Windbreaker 2
Cost Price	5 u	5 p	5 u
Profit	+ 2 u	+ 4 p	+ 2 u
Selling Price	7 u	9 p	7 u
Discount			- 0.7 u
Discounted Price			6.3 u

100% + 40% = 140%
140% = ¹⁴⁰₁₀₀ = ⁷₅

100% + 80% = 180%
180% = ¹⁸⁰₁₀₀ = ⁹₅

(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 vest
= 100% of the price of the vest + 80% of the price of the vest
= 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 7 u
= ⁹⁰₁₀₀ x 7 u
= 6.3 u

Profit made for the second windbreaker in units
= 6.3 u - 5 u
= 1.3 u

1.3 u = 100.8 - 80 = 20.8

1 u = 20.8 ÷ 1.3 = 16

2 u + 4 p = 80
2 x 16 + 4 p = 80
32 + 4 p = 80

4 p
= 80 - 32
= $48

Profit made on the vest = $48

(b)
1 p = 48 ÷ 4 = 12

Selling price of the vest
= 9 p
= 9 x 12
= $108

Answer(s): (a) $48; (b) $108