PSLEMrs Owen bought a jacket and a ring at a discount. She spent a total of $51.60 on these two items. She spent $31.20 more on the ring than on the jacket.
- How much did she spend on the ring?
- The total discount given for the two items was $34.40. She was given a 40% discount for the jacket. What was the percentage discount given for the ring?
(a)
Amount spent on the jacket = 1 u
Amount spent on the ring = 1 u + 31.20
Total amount spent on the jacket and the ring
= 1 u + 1 u + 31.20
= 2 u + 31.20
2 u + 31.20 = 51.60
2 u = 51.60 - 31.20
2 u = 20.40
1 u = 20.40 ÷ 2 = 10.20
Amount that Mrs Owen spent on the ring
= 10.20 + 31.20
= $41.40
(b)
|
Jacket |
Ring |
Total |
Original price |
100% |
$69 |
|
Discount |
40% $6.80 |
$27.60 |
$34.40 |
Discounted price |
60% $10.20 |
$41.40 |
$51.60 |
Discounted price of the jacket
= 100% - 40%
= 60%
60% of the price of the jacket = 10.20
1% of the price of the jacket = 10.20 ÷ 60
40% of the price of the jacket = 10.20 ÷ 60 x 40 = 6.80
Discount given for the ring
= 34.40 - 6.80
= $27.60
Original price of the ring
= 41.40 + 27.60
= $69
Percentage discount of the ring
=
27.6069 x 100%
= 40%
Answer(s): (a) $41.40; (b) 40%