Yen made a profit of 40% from the sale of a jumpsuit and a profit of 60% from the sale of a jacket. The total profit she made from the two items was $73. She later sold a similar jumpsuit at a discount of 25% off the advertised price. Her total profit for the three items then increased to $75.75.
- Find the profit made on the jacket.
- How much did she sell the jacket for?
|
Jumpsuit 1 |
Jacket 1 |
Jumpsuit 2 |
Cost Price |
5 u |
5 p |
5 u |
Profit |
+ 2 u |
+ 3 p |
+ 2 u |
Selling Price |
7 u |
8 p |
7 u |
Discount |
|
|
- 1.75 u |
Discounted Price |
|
|
5.25 u |
100% + 40% = 140%
140% =
140100 =
75100% + 60% = 160%
160% =
160100 =
85(a)
Selling price of the jumpsuit
= 100% of the price of the jumpsuit + 40% of the price of the jumpsuit
= 5 u + 2 u
= 7 u
Selling price of the jacket
= 100% of the price of the jacket + 60% of the price of the jacket
= 5 p + 3 p
= 8 p
Price of the second jumpsuit after 25% discount in percentage
= 100% - 25%
= 75%
Price of the second jumpsuit after 25% discount in units
= 75% x 7 u
=
75100 x 7 u
= 5.25 u
Profit made for the second jumpsuit in units
= 5.25 u - 5 u
= 0.25 u
0.25 u = 75.75 - 73 = 2.75
1 u = 2.75 ÷ 0.25 = 11
2 u + 3 p = 73
2 x 11 + 3 p = 73
22 + 3 p = 73
3 p
= 73 - 22
= $51
Profit made on the jacket = $51
(b)
1 p = 51 ÷ 3 = 17
Selling price of the jacket
= 8 p
= 8 x 17
= $136
Answer(s): (a) $51; (b) $136