Rachel made a profit of 40% from the sale of a vest and a profit of 60% from the sale of a blouse. The total profit she made from the two items was $58. She later sold a similar vest at a discount of 20% off the advertised price. Her total profit for the three items then increased to $66.40.
- Find the profit made on the blouse.
- How much did she sell the blouse for?
|
Vest 1 |
Blouse 1 |
Vest 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 |
|
|
- 1.4 u |
Discounted Price |
|
|
5.6 u |
100% + 40% = 140%
140% =
140100 =
75100% + 60% = 160%
160% =
160100 =
85(a)
Selling price of the vest
= 100% of the price of the vest + 40% of the price of the vest
= 5 u + 2 u
= 7 u
Selling price of the blouse
= 100% of the price of the blouse + 60% of the price of the blouse
= 5 p + 3 p
= 8 p
Price of the second vest after 20% discount in percentage
= 100% - 20%
= 80%
Price of the second vest after 20% discount in units
= 80% x 7 u
=
80100 x 7 u
= 5.6 u
Profit made for the second vest in units
= 5.6 u - 5 u
= 0.6 u
0.6 u = 66.4 - 58 = 8.4
1 u = 8.4 ÷ 0.6 = 14
2 u + 3 p = 58
2 x 14 + 3 p = 58
28 + 3 p = 58
3 p
= 58 - 28
= $30
Profit made on the blouse = $30
(b)
1 p = 30 ÷ 3 = 10
Selling price of the blouse
= 8 p
= 8 x 10
= $80
Answer(s): (a) $30; (b) $80