PSLEMrs Simon bought a dress and a necklace at a discount. She spent a total of $63.30 on these two items. She spent $31.10 more on the necklace than on the dress.
- How much did she spend on the necklace?
- The total discount given for the two items was $18.70. She was given a 30% discount for the dress. What was the percentage discount given for the necklace?
(a)
Amount spent on the dress = 1 u
Amount spent on the necklace = 1 u + 31.10
Total amount spent on the dress and the necklace
= 1 u + 1 u + 31.10
= 2 u + 31.10
2 u + 31.10 = 63.30
2 u = 63.30 - 31.10
2 u = 32.20
1 u = 32.20 ÷ 2 = 16.10
Amount that Mrs Simon spent on the necklace
= 16.10 + 31.10
= $47.20
(b)
|
Dress |
Necklace |
Total |
Original price |
100% |
$59 |
|
Discount |
30% $6.90 |
$11.80 |
$18.70 |
Discounted price |
70% $16.10 |
$47.20 |
$63.30 |
Discounted price of the dress
= 100% - 30%
= 70%
70% of the price of the dress = 16.10
1% of the price of the dress = 16.10 ÷ 70
30% of the price of the dress = 16.10 ÷ 70 x 30 = 6.90
Discount given for the necklace
= 18.70 - 6.90
= $11.80
Original price of the necklace
= 47.20 + 11.80
= $59
Percentage discount of the necklace
=
11.8059 x 100%
= 20%
Answer(s): (a) $47.20; (b) 20%