Elyse made a profit of 60% from the sale of a dress and a profit of 70% from the sale of a coat. The total profit she made from the two items was $86. She later sold a similar dress at a discount of 30% off the advertised price. Her total profit for the three items then increased to $96.20.

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

	Dress 1	Coat 1	Dress 2
Cost Price	5 u	10 p	5 u
Profit	+ 3 u	+ 7 p	+ 3 u
Selling Price	8 u	17 p	8 u
Discount			- 2.4 u
Discounted Price			5.6 u

100% + 60% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

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

(a)
Selling price of the dress
= 100% of the price of the dress + 60% of the price of the dress
= 5 u + 3 u
= 8 u

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

Price of the second dress after 30% discount in percentage
= 100% - 30%
= 70%

Price of the second dress after 30% discount in units
= 70% x 8 u
= ⁷⁰₁₀₀ x 8 u
= 5.6 u

Profit made for the second dress in units
= 5.6 u - 5 u
= 0.6 u

0.6 u = 96.2 - 86 = 10.2

1 u = 10.2 ÷ 0.6 = 17

3 u + 7 p = 86
3 x 17 + 7 p = 86
51 + 7 p = 86

7 p
= 86 - 51
= $35

Profit made on the coat = $35

(b)
1 p = 35 ÷ 7 = 5

Selling price of the coat
= 17 p
= 17 x 5
= $85

Answer(s): (a) $35; (b) $85