PSLEMrs Julian bought a blouse and a ring at a discount. She spent a total of $57.60 on these two items. She spent $10.80 more on the ring than on the blouse.
- How much did she spend on the ring?
- The total discount given for the two items was $38.40. She was given a 40% discount for the blouse. What was the percentage discount given for the ring?
(a)
Amount spent on the blouse = 1 u
Amount spent on the ring = 1 u + 10.80
Total amount spent on the blouse and the ring
= 1 u + 1 u + 10.80
= 2 u + 10.80
2 u + 10.80 = 57.60
2 u = 57.60 - 10.80
2 u = 46.80
1 u = 46.80 ÷ 2 = 23.40
Amount that Mrs Julian spent on the ring
= 23.40 + 10.80
= $34.20
(b)
|
Blouse |
Ring |
Total |
Original price |
100% |
$57 |
|
Discount |
40% $15.60 |
$22.80 |
$38.40 |
Discounted price |
60% $23.40 |
$34.20 |
$57.60 |
Discounted price of the blouse
= 100% - 40%
= 60%
60% of the price of the blouse = 23.40
1% of the price of the blouse = 23.40 ÷ 60
40% of the price of the blouse = 23.40 ÷ 60 x 40 = 15.60
Discount given for the ring
= 38.40 - 15.60
= $22.80
Original price of the ring
= 34.20 + 22.80
= $57
Percentage discount of the ring
=
22.8057 x 100%
= 40%
Answer(s): (a) $34.20; (b) 40%