Fanny made a profit of 50% from the sale of a blazer and a profit of 70% from the sale of a vest. The total profit she made from the two items was $81. She later sold a similar blazer at a discount of 10% off the advertised price. Her total profit for the three items then increased to $88.70.

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

	Blazer 1	Vest 1	Blazer 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 blazer
= 100% of the price of the blazer + 50% of the price of the blazer
= 2 u + 1 u
= 3 u

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

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

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

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

0.7 u = 88.7 - 81 = 7.7

1 u = 7.7 ÷ 0.7 = 11

1 u + 7 p = 81
1 x 11 + 7 p = 81
11 + 7 p = 81

7 p
= 81 - 11
= $70

Profit made on the vest = $70

(b)
1 p = 70 ÷ 7 = 10

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

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