Nora made a profit of 50% from the sale of a skirt and a profit of 80% from the sale of a blazer. The total profit she made from the two items was $31. She later sold a similar skirt at a discount of 20% off the advertised price. Her total profit for the three items then increased to $33.80.
- Find the profit made on the blazer.
- How much did she sell the blazer for?
|
Skirt 1 |
Blazer 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 |
|
|
- 0.6 u |
Discounted Price |
|
|
2.4 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 blazer
= 100% of the price of the blazer + 80% of the price of the blazer
= 5 p + 4 p
= 9 p
Price of the second skirt after 20% discount in percentage
= 100% - 20%
= 80%
Price of the second skirt after 20% discount in units
= 80% x 3 u
=
80100 x 3 u
= 2.4 u
Profit made for the second skirt in units
= 2.4 u - 2 u
= 0.4 u
0.4 u = 33.8 - 31 = 2.8
1 u = 2.8 ÷ 0.4 = 7
1 u + 4 p = 31
1 x 7 + 4 p = 31
7 + 4 p = 31
4 p
= 31 - 7
= $24
Profit made on the blazer = $24
(b)
1 p = 24 ÷ 4 = 6
Selling price of the blazer
= 9 p
= 9 x 6
= $54
Answer(s): (a) $24; (b) $54