PSLEMrs Seth bought a dress and a ring at a discount. She spent a total of $64.40 on these two items. She spent $23.80 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 $27.60. 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 + 23.80
Total amount spent on the dress and the ring
= 1 u + 1 u + 23.80
= 2 u + 23.80
2 u + 23.80 = 64.40
2 u = 64.40 - 23.80
2 u = 40.60
1 u = 40.60 ÷ 2 = 20.30
Amount that Mrs Seth spent on the ring
= 20.30 + 23.80
= $44.10
(b)
|
Dress |
Ring |
Total |
Original price |
100% |
$63 |
|
Discount |
30% $8.70 |
$18.90 |
$27.60 |
Discounted price |
70% $20.30 |
$44.10 |
$64.40 |
Discounted price of the dress
= 100% - 30%
= 70%
70% of the price of the dress = 20.30
1% of the price of the dress = 20.30 ÷ 70
30% of the price of the dress = 20.30 ÷ 70 x 30 = 8.70
Discount given for the ring
= 27.60 - 8.70
= $18.90
Original price of the ring
= 44.10 + 18.90
= $63
Percentage discount of the ring
=
18.9063 x 100%
= 30%
Answer(s): (a) $44.10; (b) 30%