Zoe made a profit of 50% from the sale of a vest and a profit of 70% from the sale of a blouse. The total profit she made from the two items was $74. She later sold a similar vest at a discount of 20% off the advertised price. Her total profit for the three items then increased to $81.20.

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

	Vest 1	Blouse 1	Vest 2
Cost Price	2 u	10 p	2 u
Profit	+ 1 u	+ 7 p	+ 1 u
Selling Price	3 u	17 p	3 u
Discount			- 0.6 u
Discounted Price			2.4 u

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

100% + 70% = 170%
170% = ¹⁷⁰₁₀₀ = ¹⁷₁₀

(a)
Selling price of the vest
= 100% of the price of the vest + 50% of the price of the vest
= 2 u + 1 u
= 3 u

Selling price of the blouse
= 100% of the price of the blouse + 70% of the price of the blouse
= 10 p + 7 p
= 17 p

Price of the second vest after 20% discount in percentage
= 100% - 20%
= 80%

Price of the second vest after 20% discount in units
= 80% x 3 u
= ⁸⁰₁₀₀ x 3 u
= 2.4 u

Profit made for the second vest in units
= 2.4 u - 2 u
= 0.4 u

0.4 u = 81.2 - 74 = 7.2

1 u = 7.2 ÷ 0.4 = 18

1 u + 7 p = 74
1 x 18 + 7 p = 74
18 + 7 p = 74

7 p
= 74 - 18
= $56

Profit made on the blouse = $56

(b)
1 p = 56 ÷ 7 = 8

Selling price of the blouse
= 17 p
= 17 x 8
= $136

Answer(s): (a) $56; (b) $136