Penelope made a profit of 40% from the sale of a windbreaker and a profit of 70% from the sale of a jumpsuit. The total profit she made from the two items was $140. She later sold a similar windbreaker at a discount of 10% off the advertised price. Her total profit for the three items then increased to $149.10.

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

	Windbreaker 1	Jumpsuit 1	Windbreaker 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			- 0.7 u
Discounted Price			6.3 u

100% + 40% = 140%
140% = ¹⁴⁰₁₀₀ = ⁷₅

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

(a)
Selling price of the windbreaker
= 100% of the price of the windbreaker + 40% of the price of the windbreaker
= 5 u + 2 u
= 7 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 windbreaker after 10% discount in percentage
= 100% - 10%
= 90%

Price of the second windbreaker after 10% discount in units
= 90% x 7 u
= ⁹⁰₁₀₀ x 7 u
= 6.3 u

Profit made for the second windbreaker in units
= 6.3 u - 5 u
= 1.3 u

1.3 u = 149.1 - 140 = 9.1

1 u = 9.1 ÷ 1.3 = 7

2 u + 7 p = 140
2 x 7 + 7 p = 140
14 + 7 p = 140

7 p
= 140 - 14
= $126

Profit made on the jumpsuit = $126

(b)
1 p = 126 ÷ 7 = 18

Selling price of the jumpsuit
= 17 p
= 17 x 18
= $306

Answer(s): (a) $126; (b) $306