PSLEMrs Jack bought a coat and a necklace at a discount. She spent a total of $61.20 on these two items. She spent $44.40 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 $16.80. She was given a 30% 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 + 44.40
Total amount spent on the coat and the necklace
= 1 u + 1 u + 44.40
= 2 u + 44.40
2 u + 44.40 = 61.20
2 u = 61.20 - 44.40
2 u = 16.80
1 u = 16.80 ÷ 2 = 8.40
Amount that Mrs Jack spent on the necklace
= 8.40 + 44.40
= $52.80
(b)
|
Coat |
Necklace |
Total |
Original price |
100% |
$66 |
|
Discount |
30% $3.60 |
$13.20 |
$16.80 |
Discounted price |
70% $8.40 |
$52.80 |
$61.20 |
Discounted price of the coat
= 100% - 30%
= 70%
70% of the price of the coat = 8.40
1% of the price of the coat = 8.40 ÷ 70
30% of the price of the coat = 8.40 ÷ 70 x 30 = 3.60
Discount given for the necklace
= 16.80 - 3.60
= $13.20
Original price of the necklace
= 52.80 + 13.20
= $66
Percentage discount of the necklace
=
13.2066 x 100%
= 20%
Answer(s): (a) $52.80; (b) 20%