Raeann made a profit of 50% from the sale of a skirt and a profit of 80% from the sale of a blouse. The total profit she made from the two items was $63. She later sold a similar skirt at a discount of 25% off the advertised price. Her total profit for the three items then increased to $65.75.

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

	Skirt 1	Blouse 1	Skirt 2
Cost Price	2 u	5 p	2 u
Profit	+ 1 u	+ 4 p	+ 1 u
Selling Price	3 u	9 p	3 u
Discount			- 0.75 u
Discounted Price			2.25 u

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

100% + 80% = 180%
180% = ¹⁸⁰₁₀₀ = ⁹₅

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

Selling price of the blouse
= 100% of the price of the blouse + 80% of the price of the blouse
= 5 p + 4 p
= 9 p

Price of the second skirt after 25% discount in percentage
= 100% - 25%
= 75%

Price of the second skirt after 25% discount in units
= 75% x 3 u
= ⁷⁵₁₀₀ x 3 u
= 2.25 u

Profit made for the second skirt in units
= 2.25 u - 2 u
= 0.25 u

0.25 u = 65.75 - 63 = 2.75

1 u = 2.75 ÷ 0.25 = 11

1 u + 4 p = 63
1 x 11 + 4 p = 63
11 + 4 p = 63

4 p
= 63 - 11
= $52

Profit made on the blouse = $52

(b)
1 p = 52 ÷ 4 = 13

Selling price of the blouse
= 9 p
= 9 x 13
= $117

Answer(s): (a) $52; (b) $117