PSLEMrs Asher bought a shirt and a bracelet at a discount. She spent a total of $62.40 on these two items. She spent $19.20 more on the bracelet than on the shirt.
- How much did she spend on the bracelet?
- The total discount given for the two items was $32.60. She was given a 20% discount for the shirt. What was the percentage discount given for the bracelet?
(a)
Amount spent on the shirt = 1 u
Amount spent on the bracelet = 1 u + 19.20
Total amount spent on the shirt and the bracelet
= 1 u + 1 u + 19.20
= 2 u + 19.20
2 u + 19.20 = 62.40
2 u = 62.40 - 19.20
2 u = 43.20
1 u = 43.20 ÷ 2 = 21.60
Amount that Mrs Asher spent on the bracelet
= 21.60 + 19.20
= $40.80
(b)
|
Shirt |
Bracelet |
Total |
Original price |
100% |
$68 |
|
Discount |
20% $5.40 |
$27.20 |
$32.60 |
Discounted price |
80% $21.60 |
$40.80 |
$62.40 |
Discounted price of the shirt
= 100% - 20%
= 80%
80% of the price of the shirt = 21.60
1% of the price of the shirt = 21.60 ÷ 80
20% of the price of the shirt = 21.60 ÷ 80 x 20 = 5.40
Discount given for the bracelet
= 32.60 - 5.40
= $27.20
Original price of the bracelet
= 40.80 + 27.20
= $68
Percentage discount of the bracelet
=
27.2068 x 100%
= 40%
Answer(s): (a) $40.80; (b) 40%