PSLEMrs Ahmad bought a windbreaker and a ring at a discount. She spent a total of $60.20 on these two items. She spent $34.60 more on the ring than on the windbreaker.
- How much did she spend on the ring?
- The total discount given for the two items was $34.80. She was given a 20% discount for the windbreaker. What was the percentage discount given for the ring?
(a)
Amount spent on the windbreaker = 1 u
Amount spent on the ring = 1 u + 34.60
Total amount spent on the windbreaker and the ring
= 1 u + 1 u + 34.60
= 2 u + 34.60
2 u + 34.60 = 60.20
2 u = 60.20 - 34.60
2 u = 25.60
1 u = 25.60 ÷ 2 = 12.80
Amount that Mrs Ahmad spent on the ring
= 12.80 + 34.60
= $47.40
(b)
|
Windbreaker |
Ring |
Total |
Original price |
100% |
$79 |
|
Discount |
20% $3.20 |
$31.60 |
$34.80 |
Discounted price |
80% $12.80 |
$47.40 |
$60.20 |
Discounted price of the windbreaker
= 100% - 20%
= 80%
80% of the price of the windbreaker = 12.80
1% of the price of the windbreaker = 12.80 ÷ 80
20% of the price of the windbreaker = 12.80 ÷ 80 x 20 = 3.20
Discount given for the ring
= 34.80 - 3.20
= $31.60
Original price of the ring
= 47.40 + 31.60
= $79
Percentage discount of the ring
=
31.6079 x 100%
= 40%
Answer(s): (a) $47.40; (b) 40%