Yoko made a profit of 40% from the sale of a coat and a profit of 60% from the sale of a blouse. The total profit she made from the two items was $89. 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 $98.60.

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

	Coat 1	Blouse 1	Coat 2
Cost Price	5 u	5 p	5 u
Profit	+ 2 u	+ 3 p	+ 2 u
Selling Price	7 u	8 p	7 u
Discount			- 1.4 u
Discounted Price			5.6 u

100% + 40% = 140%
140% = ¹⁴⁰₁₀₀ = ⁷₅

100% + 60% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

(a)
Selling price of the coat
= 100% of the price of the coat + 40% of the price of the coat
= 5 u + 2 u
= 7 u

Selling price of the blouse
= 100% of the price of the blouse + 60% of the price of the blouse
= 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 7 u
= ⁸⁰₁₀₀ x 7 u
= 5.6 u

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

0.6 u = 98.6 - 89 = 9.6

1 u = 9.6 ÷ 0.6 = 16

2 u + 3 p = 89
2 x 16 + 3 p = 89
32 + 3 p = 89

3 p
= 89 - 32
= $57

Profit made on the blouse = $57

(b)
1 p = 57 ÷ 3 = 19

Selling price of the blouse
= 8 p
= 8 x 19
= $152

Answer(s): (a) $57; (b) $152