Dana made a profit of 50% from the sale of a blazer and a profit of 60% from the sale of a shirt. The total profit she made from the two items was $69. She later sold a similar blazer at a discount of 30% off the advertised price. Her total profit for the three items then increased to $70.20.
- Find the profit made on the shirt.
- How much did she sell the shirt for?
|
Blazer 1 |
Shirt 1 |
Blazer 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 blazer
= 100% of the price of the blazer + 50% of the price of the blazer
= 2 u + 1 u
= 3 u
Selling price of the shirt
= 100% of the price of the shirt + 60% of the price of the shirt
= 5 p + 3 p
= 8 p
Price of the second blazer after 30% discount in percentage
= 100% - 30%
= 70%
Price of the second blazer after 30% discount in units
= 70% x 3 u
=
70100 x 3 u
= 2.1 u
Profit made for the second blazer in units
= 2.1 u - 2 u
= 0.1 u
0.1 u = 70.2 - 69 = 1.2
1 u = 1.2 ÷ 0.1 = 12
1 u + 3 p = 69
1 x 12 + 3 p = 69
12 + 3 p = 69
3 p
= 69 - 12
= $57
Profit made on the shirt = $57
(b)
1 p = 57 ÷ 3 = 19
Selling price of the shirt
= 8 p
= 8 x 19
= $152
Answer(s): (a) $57; (b) $152