Fanny made a profit of 50% from the sale of a sweater and a profit of 80% from the sale of a skirt. The total profit she made from the two items was $43. She later sold a similar sweater at a discount of 30% off the advertised price. Her total profit for the three items then increased to $44.50.

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

	Sweater 1	Skirt 1	Sweater 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			- 0.9 u
Discounted Price			2.1 u

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

100% + 80% = 180%
180% = ¹⁸⁰₁₀₀ = ⁹₅

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

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

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

Price of the second sweater after 30% discount in units
= 70% x 3 u
= ⁷⁰₁₀₀ x 3 u
= 2.1 u

Profit made for the second sweater in units
= 2.1 u - 2 u
= 0.1 u

0.1 u = 44.5 - 43 = 1.5

1 u = 1.5 ÷ 0.1 = 15

1 u + 4 p = 43
1 x 15 + 4 p = 43
15 + 4 p = 43

4 p
= 43 - 15
= $28

Profit made on the skirt = $28

(b)
1 p = 28 ÷ 4 = 7

Selling price of the skirt
= 9 p
= 9 x 7
= $63

Answer(s): (a) $28; (b) $63