Zoe made a profit of 50% from the sale of a vest and a profit of 70% from the sale of a skirt. The total profit she made from the two items was $89. She later sold a similar vest at a discount of 10% off the advertised price. Her total profit for the three items then increased to $102.30.

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

	Vest 1	Skirt 1	Vest 2
Cost Price	2 u	10 p	2 u
Profit	+ 1 u	+ 7 p	+ 1 u
Selling Price	3 u	17 p	3 u
Discount			- 0.3 u
Discounted Price			2.7 u

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

100% + 70% = 170%
170% = ¹⁷⁰₁₀₀ = ¹⁷₁₀

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

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

Price of the second vest after 10% discount in percentage
= 100% - 10%
= 90%

Price of the second vest after 10% discount in units
= 90% x 3 u
= ⁹⁰₁₀₀ x 3 u
= 2.7 u

Profit made for the second vest in units
= 2.7 u - 2 u
= 0.7 u

0.7 u = 102.3 - 89 = 13.3

1 u = 13.3 ÷ 0.7 = 19

1 u + 7 p = 89
1 x 19 + 7 p = 89
19 + 7 p = 89

7 p
= 89 - 19
= $70

Profit made on the skirt = $70

(b)
1 p = 70 ÷ 7 = 10

Selling price of the skirt
= 17 p
= 17 x 10
= $170

Answer(s): (a) $70; (b) $170