Cindy made a profit of 50% from the sale of a windbreaker and a profit of 80% from the sale of a coat. The total profit she made from the two items was $32. She later sold a similar windbreaker at a discount of 20% off the advertised price. Her total profit for the three items then increased to $35.20.
- Find the profit made on the coat.
- How much did she sell the coat for?
|
Windbreaker 1 |
Coat 1 |
Windbreaker 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 |
|
|
- 0.6 u |
Discounted Price |
|
|
2.4 u |
100% + 50% = 150%
150% =
150100 =
32100% + 80% = 180%
180% =
180100 =
95(a)
Selling price of the windbreaker
= 100% of the price of the windbreaker + 50% of the price of the windbreaker
= 2 u + 1 u
= 3 u
Selling price of the coat
= 100% of the price of the coat + 80% of the price of the coat
= 5 p + 4 p
= 9 p
Price of the second windbreaker after 20% discount in percentage
= 100% - 20%
= 80%
Price of the second windbreaker after 20% discount in units
= 80% x 3 u
=
80100 x 3 u
= 2.4 u
Profit made for the second windbreaker in units
= 2.4 u - 2 u
= 0.4 u
0.4 u = 35.2 - 32 = 3.2
1 u = 3.2 ÷ 0.4 = 8
1 u + 4 p = 32
1 x 8 + 4 p = 32
8 + 4 p = 32
4 p
= 32 - 8
= $24
Profit made on the coat = $24
(b)
1 p = 24 ÷ 4 = 6
Selling price of the coat
= 9 p
= 9 x 6
= $54
Answer(s): (a) $24; (b) $54