PSLEMrs Charlie bought a vest and a necklace at a discount. She spent a total of $65.40 on these two items. She spent $43.80 more on the necklace than on the vest.
- How much did she spend on the necklace?
- The total discount given for the two items was $24.60. She was given a 10% discount for the vest. What was the percentage discount given for the necklace?
(a)
Amount spent on the vest = 1 u
Amount spent on the necklace = 1 u + 43.80
Total amount spent on the vest and the necklace
= 1 u + 1 u + 43.80
= 2 u + 43.80
2 u + 43.80 = 65.40
2 u = 65.40 - 43.80
2 u = 21.60
1 u = 21.60 ÷ 2 = 10.80
Amount that Mrs Charlie spent on the necklace
= 10.80 + 43.80
= $54.60
(b)
|
Vest |
Necklace |
Total |
Original price |
100% |
$78 |
|
Discount |
10% $1.20 |
$23.40 |
$24.60 |
Discounted price |
90% $10.80 |
$54.60 |
$65.40 |
Discounted price of the vest
= 100% - 10%
= 90%
90% of the price of the vest = 10.80
1% of the price of the vest = 10.80 ÷ 90
10% of the price of the vest = 10.80 ÷ 90 x 10 = 1.20
Discount given for the necklace
= 24.60 - 1.20
= $23.40
Original price of the necklace
= 54.60 + 23.40
= $78
Percentage discount of the necklace
=
23.4078 x 100%
= 30%
Answer(s): (a) $54.60; (b) 30%