Shannon made a profit of 40% from the sale of a skirt and a profit of 70% from the sale of a coat. The total profit she made from the two items was $151. She later sold a similar skirt at a discount of 20% off the advertised price. Her total profit for the three items then increased to $156.40.

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

	Skirt 1	Coat 1	Skirt 2
Cost Price	5 u	10 p	5 u
Profit	+ 2 u	+ 7 p	+ 2 u
Selling Price	7 u	17 p	7 u
Discount			- 1.4 u
Discounted Price			5.6 u

100% + 40% = 140%
140% = ¹⁴⁰₁₀₀ = ⁷₅

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

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

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

Price of the second skirt after 20% discount in percentage
= 100% - 20%
= 80%

Price of the second skirt after 20% discount in units
= 80% x 7 u
= ⁸⁰₁₀₀ x 7 u
= 5.6 u

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

0.6 u = 156.4 - 151 = 5.4

1 u = 5.4 ÷ 0.6 = 9

2 u + 7 p = 151
2 x 9 + 7 p = 151
18 + 7 p = 151

7 p
= 151 - 18
= $133

Profit made on the coat = $133

(b)
1 p = 133 ÷ 7 = 19

Selling price of the coat
= 17 p
= 17 x 19
= $323

Answer(s): (a) $133; (b) $323