PSLEMrs Harry bought a dress and a bracelet at a discount. She spent a total of $68.20 on these two items. She spent $20.60 more on the bracelet than on the dress.
- How much did she spend on the bracelet?
- The total discount given for the two items was $39.80. She was given a 30% discount for the dress. What was the percentage discount given for the bracelet?
(a)
Amount spent on the dress = 1 u
Amount spent on the bracelet = 1 u + 20.60
Total amount spent on the dress and the bracelet
= 1 u + 1 u + 20.60
= 2 u + 20.60
2 u + 20.60 = 68.20
2 u = 68.20 - 20.60
2 u = 47.60
1 u = 47.60 ÷ 2 = 23.80
Amount that Mrs Harry spent on the bracelet
= 23.80 + 20.60
= $44.40
(b)
|
Dress |
Bracelet |
Total |
Original price |
100% |
$74 |
|
Discount |
30% $10.20 |
$29.60 |
$39.80 |
Discounted price |
70% $23.80 |
$44.40 |
$68.20 |
Discounted price of the dress
= 100% - 30%
= 70%
70% of the price of the dress = 23.80
1% of the price of the dress = 23.80 ÷ 70
30% of the price of the dress = 23.80 ÷ 70 x 30 = 10.20
Discount given for the bracelet
= 39.80 - 10.20
= $29.60
Original price of the bracelet
= 44.40 + 29.60
= $74
Percentage discount of the bracelet
=
29.6074 x 100%
= 40%
Answer(s): (a) $44.40; (b) 40%