Jane made a profit of 60% from the sale of a vest and a profit of 80% from the sale of a blouse. The total profit she made from the two items was $77. She later sold a similar vest at a discount of 10% off the advertised price. Her total profit for the three items then increased to $118.80.

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	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 vest
= 100% of the price of the vest + 60% of the price of the vest
= 5 u + 3 u
= 8 u

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

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

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

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

2.2 u = 118.8 - 77 = 41.8

1 u = 41.8 ÷ 2.2 = 19

3 u + 4 p = 77
3 x 19 + 4 p = 77
57 + 4 p = 77

4 p
= 77 - 57
= $20

Profit made on the blouse = $20

(b)
1 p = 20 ÷ 4 = 5

Selling price of the blouse
= 9 p
= 9 x 5
= $45

Answer(s): (a) $20; (b) $45