Tiffany made a profit of 60% from the sale of a vest and a profit of 80% from the sale of a blazer. The total profit she made from the two items was $97. 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 $112.40.

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

	Vest 1	Blazer 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			- 1.6 u
Discounted Price			6.4 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 blazer
= 100% of the price of the blazer + 80% of the price of the blazer
= 5 p + 4 p
= 9 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 8 u
= ⁸⁰₁₀₀ x 8 u
= 6.4 u

Profit made for the second vest in units
= 6.4 u - 5 u
= 1.4 u

1.4 u = 112.4 - 97 = 15.4

1 u = 15.4 ÷ 1.4 = 11

3 u + 4 p = 97
3 x 11 + 4 p = 97
33 + 4 p = 97

4 p
= 97 - 33
= $64

Profit made on the blazer = $64

(b)
1 p = 64 ÷ 4 = 16

Selling price of the blazer
= 9 p
= 9 x 16
= $144

Answer(s): (a) $64; (b) $144