Emily made a profit of 40% from the sale of a jumpsuit and a profit of 80% from the sale of a jacket. The total profit she made from the two items was $62. She later sold a similar jumpsuit at a discount of 25% off the advertised price. Her total profit for the three items then increased to $63.75.

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

	Jumpsuit 1	Jacket 1	Jumpsuit 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			- 1.75 u
Discounted Price			5.25 u

100% + 40% = 140%
140% = ¹⁴⁰₁₀₀ = ⁷₅

100% + 80% = 180%
180% = ¹⁸⁰₁₀₀ = ⁹₅

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

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

Price of the second jumpsuit after 25% discount in percentage
= 100% - 25%
= 75%

Price of the second jumpsuit after 25% discount in units
= 75% x 7 u
= ⁷⁵₁₀₀ x 7 u
= 5.25 u

Profit made for the second jumpsuit in units
= 5.25 u - 5 u
= 0.25 u

0.25 u = 63.75 - 62 = 1.75

1 u = 1.75 ÷ 0.25 = 7

2 u + 4 p = 62
2 x 7 + 4 p = 62
14 + 4 p = 62

4 p
= 62 - 14
= $48

Profit made on the jacket = $48

(b)
1 p = 48 ÷ 4 = 12

Selling price of the jacket
= 9 p
= 9 x 12
= $108

Answer(s): (a) $48; (b) $108