Jaslyn made a profit of 40% from the sale of a blouse and a profit of 80% from the sale of a jumpsuit. The total profit she made from the two items was $58. She later sold a similar blouse at a discount of 20% off the advertised price. Her total profit for the three items then increased to $68.20.

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

	Blouse 1	Jumpsuit 1	Blouse 2
Cost Price	5 u	5 p	5 u
Profit	+ 2 u	+ 4 p	+ 2 u
Selling Price	7 u	9 p	7 u
Discount			- 1.4 u
Discounted Price			5.6 u

100% + 40% = 140%
140% = ¹⁴⁰₁₀₀ = ⁷₅

100% + 80% = 180%
180% = ¹⁸⁰₁₀₀ = ⁹₅

(a)
Selling price of the blouse
= 100% of the price of the blouse + 40% of the price of the blouse
= 5 u + 2 u
= 7 u

Selling price of the jumpsuit
= 100% of the price of the jumpsuit + 80% of the price of the jumpsuit
= 5 p + 4 p
= 9 p

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

Price of the second blouse after 20% discount in units
= 80% x 7 u
= ⁸⁰₁₀₀ x 7 u
= 5.6 u

Profit made for the second blouse in units
= 5.6 u - 5 u
= 0.6 u

0.6 u = 68.2 - 58 = 10.2

1 u = 10.2 ÷ 0.6 = 17

2 u + 4 p = 58
2 x 17 + 4 p = 58
34 + 4 p = 58

4 p
= 58 - 34
= $24

Profit made on the jumpsuit = $24

(b)
1 p = 24 ÷ 4 = 6

Selling price of the jumpsuit
= 9 p
= 9 x 6
= $54

Answer(s): (a) $24; (b) $54