PSLEMrs Pierre bought a blouse and a necklace at a discount. She spent a total of $73.30 on these two items. She spent $20.50 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 20% 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 + 20.50
Total amount spent on the blouse and the necklace
= 1 u + 1 u + 20.50
= 2 u + 20.50
2 u + 20.50 = 73.30
2 u = 73.30 - 20.50
2 u = 52.80
1 u = 52.80 ÷ 2 = 26.40
Amount that Mrs Pierre spent on the necklace
= 26.40 + 20.50
= $46.90
(b)
|
Blouse |
Necklace |
Total |
Original price |
100% |
$67 |
|
Discount |
20% $6.60 |
$20.10 |
$26.70 |
Discounted price |
80% $26.40 |
$46.90 |
$73.30 |
Discounted price of the blouse
= 100% - 20%
= 80%
80% of the price of the blouse = 26.40
1% of the price of the blouse = 26.40 ÷ 80
20% of the price of the blouse = 26.40 ÷ 80 x 20 = 6.60
Discount given for the necklace
= 26.70 - 6.60
= $20.10
Original price of the necklace
= 46.90 + 20.10
= $67
Percentage discount of the necklace
=
20.1067 x 100%
= 30%
Answer(s): (a) $46.90; (b) 30%