Anna made a profit of 50% from the sale of a skirt and a profit of 80% from the sale of a jacket. The total profit she made from the two items was $53. She later sold a similar skirt at a discount of 25% off the advertised price. Her total profit for the three items then increased to $56.25.
- Find the profit made on the jacket.
- How much did she sell the jacket for?
|
Skirt 1 |
Jacket 1 |
Skirt 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 |
|
|
- 0.75 u |
Discounted Price |
|
|
2.25 u |
100% + 50% = 150%
150% =
150100 =
32100% + 80% = 180%
180% =
180100 =
95(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 jacket
= 100% of the price of the jacket + 80% of the price of the jacket
= 5 p + 4 p
= 9 p
Price of the second skirt after 25% discount in percentage
= 100% - 25%
= 75%
Price of the second skirt after 25% discount in units
= 75% x 3 u
=
75100 x 3 u
= 2.25 u
Profit made for the second skirt in units
= 2.25 u - 2 u
= 0.25 u
0.25 u = 56.25 - 53 = 3.25
1 u = 3.25 ÷ 0.25 = 13
1 u + 4 p = 53
1 x 13 + 4 p = 53
13 + 4 p = 53
4 p
= 53 - 13
= $40
Profit made on the jacket = $40
(b)
1 p = 40 ÷ 4 = 10
Selling price of the jacket
= 9 p
= 9 x 10
= $90
Answer(s): (a) $40; (b) $90