Rachel made a profit of 50% from the sale of a dress and a profit of 70% from the sale of a blouse. The total profit she made from the two items was $139. She later sold a similar dress at a discount of 10% off the advertised price. Her total profit for the three items then increased to $143.20.
- Find the profit made on the blouse.
- How much did she sell the blouse for?
|
Dress 1 |
Blouse 1 |
Dress 2 |
Cost Price |
2 u |
10 p |
2 u |
Profit |
+ 1 u |
+ 7 p |
+ 1 u |
Selling Price |
3 u |
17 p |
3 u |
Discount |
|
|
- 0.3 u |
Discounted Price |
|
|
2.7 u |
100% + 50% = 150%
150% =
150100 =
32100% + 70% = 170%
170% =
170100 =
1710(a)
Selling price of the dress
= 100% of the price of the dress + 50% of the price of the dress
= 2 u + 1 u
= 3 u
Selling price of the blouse
= 100% of the price of the blouse + 70% of the price of the blouse
= 10 p + 7 p
= 17 p
Price of the second dress after 10% discount in percentage
= 100% - 10%
= 90%
Price of the second dress after 10% discount in units
= 90% x 3 u
=
90100 x 3 u
= 2.7 u
Profit made for the second dress in units
= 2.7 u - 2 u
= 0.7 u
0.7 u = 143.2 - 139 = 4.2
1 u = 4.2 ÷ 0.7 = 6
1 u + 7 p = 139
1 x 6 + 7 p = 139
6 + 7 p = 139
7 p
= 139 - 6
= $133
Profit made on the blouse = $133
(b)
1 p = 133 ÷ 7 = 19
Selling price of the blouse
= 17 p
= 17 x 19
= $323
Answer(s): (a) $133; (b) $323