PSLEMrs Gabriel bought a dress and a ring at a discount. She spent a total of $81.90 on these two items. She spent $38.50 more on the ring than on the dress.
- How much did she spend on the ring?
- The total discount given for the two items was $35.10. She was given a 30% discount for the dress. What was the percentage discount given for the ring?
(a)
Amount spent on the dress = 1 u
Amount spent on the ring = 1 u + 38.50
Total amount spent on the dress and the ring
= 1 u + 1 u + 38.50
= 2 u + 38.50
2 u + 38.50 = 81.90
2 u = 81.90 - 38.50
2 u = 43.40
1 u = 43.40 ÷ 2 = 21.70
Amount that Mrs Gabriel spent on the ring
= 21.70 + 38.50
= $60.20
(b)
|
Dress |
Ring |
Total |
Original price |
100% |
$86 |
|
Discount |
30% $9.30 |
$25.80 |
$35.10 |
Discounted price |
70% $21.70 |
$60.20 |
$81.90 |
Discounted price of the dress
= 100% - 30%
= 70%
70% of the price of the dress = 21.70
1% of the price of the dress = 21.70 ÷ 70
30% of the price of the dress = 21.70 ÷ 70 x 30 = 9.30
Discount given for the ring
= 35.10 - 9.30
= $25.80
Original price of the ring
= 60.20 + 25.80
= $86
Percentage discount of the ring
=
25.8086 x 100%
= 30%
Answer(s): (a) $60.20; (b) 30%