Risa made a profit of 50% from the sale of a coat and a profit of 60% from the sale of a jacket. The total profit she made from the two items was $59. She later sold a similar coat at a discount of 20% off the advertised price. Her total profit for the three items then increased to $64.60.

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

	Coat 1	Jacket 1	Coat 2
Cost Price	2 u	5 p	2 u
Profit	+ 1 u	+ 3 p	+ 1 u
Selling Price	3 u	8 p	3 u
Discount			- 0.6 u
Discounted Price			2.4 u

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

100% + 60% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

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

Selling price of the jacket
= 100% of the price of the jacket + 60% of the price of the jacket
= 5 p + 3 p
= 8 p

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

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

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

0.4 u = 64.6 - 59 = 5.6

1 u = 5.6 ÷ 0.4 = 14

1 u + 3 p = 59
1 x 14 + 3 p = 59
14 + 3 p = 59

3 p
= 59 - 14
= $45

Profit made on the jacket = $45

(b)
1 p = 45 ÷ 3 = 15

Selling price of the jacket
= 8 p
= 8 x 15
= $120

Answer(s): (a) $45; (b) $120