PSLEMrs Tommy bought a blouse and a necklace at a discount. She spent a total of $63.60 on these two items. She spent $28.80 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 $31.40. She was given a 40% 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 + 28.80
Total amount spent on the blouse and the necklace
= 1 u + 1 u + 28.80
= 2 u + 28.80
2 u + 28.80 = 63.60
2 u = 63.60 - 28.80
2 u = 34.80
1 u = 34.80 ÷ 2 = 17.40
Amount that Mrs Tommy spent on the necklace
= 17.40 + 28.80
= $46.20
(b)
|
Blouse |
Necklace |
Total |
Original price |
100% |
$66 |
|
Discount |
40% $11.60 |
$19.80 |
$31.40 |
Discounted price |
60% $17.40 |
$46.20 |
$63.60 |
Discounted price of the blouse
= 100% - 40%
= 60%
60% of the price of the blouse = 17.40
1% of the price of the blouse = 17.40 ÷ 60
40% of the price of the blouse = 17.40 ÷ 60 x 40 = 11.60
Discount given for the necklace
= 31.40 - 11.60
= $19.80
Original price of the necklace
= 46.20 + 19.80
= $66
Percentage discount of the necklace
=
19.8066 x 100%
= 30%
Answer(s): (a) $46.20; (b) 30%