PSLEMrs Zeph bought a jacket and a ring at a discount. She spent a total of $83.10 on these two items. She spent $62.70 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 $14.90. 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 + 62.70
Total amount spent on the jacket and the ring
= 1 u + 1 u + 62.70
= 2 u + 62.70
2 u + 62.70 = 83.10
2 u = 83.10 - 62.70
2 u = 20.40
1 u = 20.40 ÷ 2 = 10.20
Amount that Mrs Zeph spent on the ring
= 10.20 + 62.70
= $72.90
(b)
|
Jacket |
Ring |
Total |
Original price |
100% |
$81 |
|
Discount |
40% $6.80 |
$8.10 |
$14.90 |
Discounted price |
60% $10.20 |
$72.90 |
$83.10 |
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
= 14.90 - 6.80
= $8.10
Original price of the ring
= 72.90 + 8.10
= $81
Percentage discount of the ring
=
8.1081 x 100%
= 10%
Answer(s): (a) $72.90; (b) 10%