Cindy made a profit of 60% from the sale of a blazer and a profit of 70% from the sale of a blouse. The total profit she made from the two items was $153. She later sold a similar blazer at a discount of 30% off the advertised price. Her total profit for the three items then increased to $158.40.

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

	Blazer 1	Blouse 1	Blazer 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 blazer
= 100% of the price of the blazer + 60% of the price of the blazer
= 5 u + 3 u
= 8 u

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

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

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

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

0.6 u = 158.4 - 153 = 5.4

1 u = 5.4 ÷ 0.6 = 9

3 u + 7 p = 153
3 x 9 + 7 p = 153
27 + 7 p = 153

7 p
= 153 - 27
= $126

Profit made on the blouse = $126

(b)
1 p = 126 ÷ 7 = 18

Selling price of the blouse
= 17 p
= 17 x 18
= $306

Answer(s): (a) $126; (b) $306