Marion made a profit of 60% from the sale of a sweater and a profit of 70% from the sale of a jumpsuit. The total profit she made from the two items was $84. She later sold a similar sweater at a discount of 10% off the advertised price. Her total profit for the three items then increased to $99.40.

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

	Sweater 1	Jumpsuit 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			- 0.8 u
Discounted Price			7.2 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 jumpsuit
= 100% of the price of the jumpsuit + 70% of the price of the jumpsuit
= 10 p + 7 p
= 17 p

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

Price of the second sweater after 10% discount in units
= 90% x 8 u
= ⁹⁰₁₀₀ x 8 u
= 7.2 u

Profit made for the second sweater in units
= 7.2 u - 5 u
= 2.2 u

2.2 u = 99.4 - 84 = 15.4

1 u = 15.4 ÷ 2.2 = 7

3 u + 7 p = 84
3 x 7 + 7 p = 84
21 + 7 p = 84

7 p
= 84 - 21
= $63

Profit made on the jumpsuit = $63

(b)
1 p = 63 ÷ 7 = 9

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

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