PSLEMrs Simon bought a blouse and a necklace at a discount. She spent a total of $62.30 on these two items. She spent $11.90 more on the necklace than on the blouse.
- How much did she spend on the necklace?
- The total discount given for the two items was $26.70. She was given a 30% discount for the blouse. What was the percentage discount given for the necklace?
(a)
Amount spent on the blouse = 1 u
Amount spent on the necklace = 1 u + 11.90
Total amount spent on the blouse and the necklace
= 1 u + 1 u + 11.90
= 2 u + 11.90
2 u + 11.90 = 62.30
2 u = 62.30 - 11.90
2 u = 50.40
1 u = 50.40 ÷ 2 = 25.20
Amount that Mrs Simon spent on the necklace
= 25.20 + 11.90
= $37.10
(b)
|
Blouse |
Necklace |
Total |
Original price |
100% |
$53 |
|
Discount |
30% $10.80 |
$15.90 |
$26.70 |
Discounted price |
70% $25.20 |
$37.10 |
$62.30 |
Discounted price of the blouse
= 100% - 30%
= 70%
70% of the price of the blouse = 25.20
1% of the price of the blouse = 25.20 ÷ 70
30% of the price of the blouse = 25.20 ÷ 70 x 30 = 10.80
Discount given for the necklace
= 26.70 - 10.80
= $15.90
Original price of the necklace
= 37.10 + 15.90
= $53
Percentage discount of the necklace
=
15.9053 x 100%
= 30%
Answer(s): (a) $37.10; (b) 30%