Tina made a profit of 60% from the sale of a sweater and a profit of 70% from the sale of a jacket. The total profit she made from the two items was $127. She later sold a similar sweater at a discount of 20% off the advertised price. Her total profit for the three items then increased to $143.80.

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

	Sweater 1	Jacket 1	Sweater 2
Cost Price	5 u	10 p	5 u
Profit	+ 3 u	+ 7 p	+ 3 u
Selling Price	8 u	17 p	8 u
Discount			- 1.6 u
Discounted Price			6.4 u

100% + 60% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

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

(a)
Selling price of the sweater
= 100% of the price of the sweater + 60% of the price of the sweater
= 5 u + 3 u
= 8 u

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

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

Price of the second sweater after 20% discount in units
= 80% x 8 u
= ⁸⁰₁₀₀ x 8 u
= 6.4 u

Profit made for the second sweater in units
= 6.4 u - 5 u
= 1.4 u

1.4 u = 143.8 - 127 = 16.8

1 u = 16.8 ÷ 1.4 = 12

3 u + 7 p = 127
3 x 12 + 7 p = 127
36 + 7 p = 127

7 p
= 127 - 36
= $91

Profit made on the jacket = $91

(b)
1 p = 91 ÷ 7 = 13

Selling price of the jacket
= 17 p
= 17 x 13
= $221

Answer(s): (a) $91; (b) $221