Yen made a profit of 50% from the sale of a skirt and a profit of 60% from the sale of a blouse. The total profit she made from the two items was $50. She later sold a similar skirt at a discount of 30% off the advertised price. Her total profit for the three items then increased to $50.80.
- Find the profit made on the blouse.
- How much did she sell the blouse for?
|
Skirt 1 |
Blouse 1 |
Skirt 2 |
Cost Price |
2 u |
5 p |
2 u |
Profit |
+ 1 u |
+ 3 p |
+ 1 u |
Selling Price |
3 u |
8 p |
3 u |
Discount |
|
|
- 0.9 u |
Discounted Price |
|
|
2.1 u |
100% + 50% = 150%
150% =
150100 =
32100% + 60% = 160%
160% =
160100 =
85(a)
Selling price of the skirt
= 100% of the price of the skirt + 50% of the price of the skirt
= 2 u + 1 u
= 3 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 skirt after 30% discount in percentage
= 100% - 30%
= 70%
Price of the second skirt after 30% discount in units
= 70% x 3 u
=
70100 x 3 u
= 2.1 u
Profit made for the second skirt in units
= 2.1 u - 2 u
= 0.1 u
0.1 u = 50.8 - 50 = 0.8
1 u = 0.8 ÷ 0.1 = 8
1 u + 3 p = 50
1 x 8 + 3 p = 50
8 + 3 p = 50
3 p
= 50 - 8
= $42
Profit made on the blouse = $42
(b)
1 p = 42 ÷ 3 = 14
Selling price of the blouse
= 8 p
= 8 x 14
= $112
Answer(s): (a) $42; (b) $112