Irene made a profit of 50% from the sale of a blouse and a profit of 60% from the sale of a shirt. The total profit she made from the two items was $64. She later sold a similar blouse at a discount of 30% off the advertised price. Her total profit for the three items then increased to $64.70.

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

	Blouse 1	Shirt 1	Blouse 2
Cost Price	2 u	5 p	2 u
Profit	+ 1 u	+ 3 p	+ 1 u
Selling Price	3 u	8 p	3 u
Discount			- 0.9 u
Discounted Price			2.1 u

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

100% + 60% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

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

Selling price of the shirt
= 100% of the price of the shirt + 60% of the price of the shirt
= 5 p + 3 p
= 8 p

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

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

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

0.1 u = 64.7 - 64 = 0.7

1 u = 0.7 ÷ 0.1 = 7

1 u + 3 p = 64
1 x 7 + 3 p = 64
7 + 3 p = 64

3 p
= 64 - 7
= $57

Profit made on the shirt = $57

(b)
1 p = 57 ÷ 3 = 19

Selling price of the shirt
= 8 p
= 8 x 19
= $152

Answer(s): (a) $57; (b) $152