Risa made a profit of 40% from the sale of a blouse and a profit of 70% from the sale of a coat. The total profit she made from the two items was $87. She later sold a similar blouse at a discount of 20% off the advertised price. Her total profit for the three items then increased to $94.20.

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

	Blouse 1	Coat 1	Blouse 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 blouse
= 100% of the price of the blouse + 40% of the price of the blouse
= 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 blouse after 20% discount in percentage
= 100% - 20%
= 80%

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

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

0.6 u = 94.2 - 87 = 7.2

1 u = 7.2 ÷ 0.6 = 12

2 u + 7 p = 87
2 x 12 + 7 p = 87
24 + 7 p = 87

7 p
= 87 - 24
= $63

Profit made on the coat = $63

(b)
1 p = 63 ÷ 7 = 9

Selling price of the coat
= 17 p
= 17 x 9
= $153

Answer(s): (a) $63; (b) $153