PSLEMrs Oscar bought a jacket and a necklace at a discount. She spent a total of $80.10 on these two items. She spent $49.50 more on the necklace than on the jacket.
- How much did she spend on the necklace?
- The total discount given for the two items was $8.90. She was given a 10% discount for the jacket. What was the percentage discount given for the necklace?
(a)
Amount spent on the jacket = 1 u
Amount spent on the necklace = 1 u + 49.50
Total amount spent on the jacket and the necklace
= 1 u + 1 u + 49.50
= 2 u + 49.50
2 u + 49.50 = 80.10
2 u = 80.10 - 49.50
2 u = 30.60
1 u = 30.60 ÷ 2 = 15.30
Amount that Mrs Oscar spent on the necklace
= 15.30 + 49.50
= $64.80
(b)
|
Jacket |
Necklace |
Total |
Original price |
100% |
$72 |
|
Discount |
10% $1.70 |
$7.20 |
$8.90 |
Discounted price |
90% $15.30 |
$64.80 |
$80.10 |
Discounted price of the jacket
= 100% - 10%
= 90%
90% of the price of the jacket = 15.30
1% of the price of the jacket = 15.30 ÷ 90
10% of the price of the jacket = 15.30 ÷ 90 x 10 = 1.70
Discount given for the necklace
= 8.90 - 1.70
= $7.20
Original price of the necklace
= 64.80 + 7.20
= $72
Percentage discount of the necklace
=
7.2072 x 100%
= 10%
Answer(s): (a) $64.80; (b) 10%