PSLEMrs Pierre bought a coat and a necklace at a discount. She spent a total of $46.80 on these two items. She spent $15.60 more on the necklace than on the coat.
- How much did she spend on the necklace?
- The total discount given for the two items was $31.20. She was given a 40% discount for the coat. What was the percentage discount given for the necklace?
(a)
Amount spent on the coat = 1 u
Amount spent on the necklace = 1 u + 15.60
Total amount spent on the coat and the necklace
= 1 u + 1 u + 15.60
= 2 u + 15.60
2 u + 15.60 = 46.80
2 u = 46.80 - 15.60
2 u = 31.20
1 u = 31.20 ÷ 2 = 15.60
Amount that Mrs Pierre spent on the necklace
= 15.60 + 15.60
= $31.20
(b)
|
Coat |
Necklace |
Total |
Original price |
100% |
$52 |
|
Discount |
40% $10.40 |
$20.80 |
$31.20 |
Discounted price |
60% $15.60 |
$31.20 |
$46.80 |
Discounted price of the coat
= 100% - 40%
= 60%
60% of the price of the coat = 15.60
1% of the price of the coat = 15.60 ÷ 60
40% of the price of the coat = 15.60 ÷ 60 x 40 = 10.40
Discount given for the necklace
= 31.20 - 10.40
= $20.80
Original price of the necklace
= 31.20 + 20.80
= $52
Percentage discount of the necklace
=
20.8052 x 100%
= 40%
Answer(s): (a) $31.20; (b) 40%