Risa made a profit of 40% from the sale of a windbreaker and a profit of 60% from the sale of a coat. The total profit she made from the two items was $83. She later sold a similar windbreaker at a discount of 25% off the advertised price. Her total profit for the three items then increased to $86.25.
- Find the profit made on the coat.
- How much did she sell the coat for?
|
Windbreaker 1 |
Coat 1 |
Windbreaker 2 |
Cost Price |
5 u |
5 p |
5 u |
Profit |
+ 2 u |
+ 3 p |
+ 2 u |
Selling Price |
7 u |
8 p |
7 u |
Discount |
|
|
- 1.75 u |
Discounted Price |
|
|
5.25 u |
100% + 40% = 140%
140% =
140100 =
75100% + 60% = 160%
160% =
160100 =
85(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 coat
= 100% of the price of the coat + 60% of the price of the coat
= 5 p + 3 p
= 8 p
Price of the second windbreaker after 25% discount in percentage
= 100% - 25%
= 75%
Price of the second windbreaker after 25% discount in units
= 75% x 7 u
=
75100 x 7 u
= 5.25 u
Profit made for the second windbreaker in units
= 5.25 u - 5 u
= 0.25 u
0.25 u = 86.25 - 83 = 3.25
1 u = 3.25 ÷ 0.25 = 13
2 u + 3 p = 83
2 x 13 + 3 p = 83
26 + 3 p = 83
3 p
= 83 - 26
= $57
Profit made on the coat = $57
(b)
1 p = 57 ÷ 3 = 19
Selling price of the coat
= 8 p
= 8 x 19
= $152
Answer(s): (a) $57; (b) $152