Hilda made a profit of 50% from the sale of a coat and a profit of 80% from the sale of a jumpsuit. The total profit she made from the two items was $88. She later sold a similar coat at a discount of 30% off the advertised price. Her total profit for the three items then increased to $89.20.

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

	Coat 1	Jumpsuit 1	Coat 2
Cost Price	2 u	5 p	2 u
Profit	+ 1 u	+ 4 p	+ 1 u
Selling Price	3 u	9 p	3 u
Discount			- 0.9 u
Discounted Price			2.1 u

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

100% + 80% = 180%
180% = ¹⁸⁰₁₀₀ = ⁹₅

(a)
Selling price of the coat
= 100% of the price of the coat + 50% of the price of the coat
= 2 u + 1 u
= 3 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 coat after 30% discount in percentage
= 100% - 30%
= 70%

Price of the second coat after 30% discount in units
= 70% x 3 u
= ⁷⁰₁₀₀ x 3 u
= 2.1 u

Profit made for the second coat in units
= 2.1 u - 2 u
= 0.1 u

0.1 u = 89.2 - 88 = 1.2

1 u = 1.2 ÷ 0.1 = 12

1 u + 4 p = 88
1 x 12 + 4 p = 88
12 + 4 p = 88

4 p
= 88 - 12
= $76

Profit made on the jumpsuit = $76

(b)
1 p = 76 ÷ 4 = 19

Selling price of the jumpsuit
= 9 p
= 9 x 19
= $171

Answer(s): (a) $76; (b) $171