PSLEMrs Oliver bought a jacket and a ring at a discount. She spent a total of $95.40 on these two items. She spent $37.80 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 $10.60. She was given a 10% 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 + 37.80
Total amount spent on the jacket and the ring
= 1 u + 1 u + 37.80
= 2 u + 37.80
2 u + 37.80 = 95.40
2 u = 95.40 - 37.80
2 u = 57.60
1 u = 57.60 ÷ 2 = 28.80
Amount that Mrs Oliver spent on the ring
= 28.80 + 37.80
= $66.60
(b)
|
Jacket |
Ring |
Total |
Original price |
100% |
$74 |
|
Discount |
10% $3.20 |
$7.40 |
$10.60 |
Discounted price |
90% $28.80 |
$66.60 |
$95.40 |
Discounted price of the jacket
= 100% - 10%
= 90%
90% of the price of the jacket = 28.80
1% of the price of the jacket = 28.80 ÷ 90
10% of the price of the jacket = 28.80 ÷ 90 x 10 = 3.20
Discount given for the ring
= 10.60 - 3.20
= $7.40
Original price of the ring
= 66.60 + 7.40
= $74
Percentage discount of the ring
=
7.4074 x 100%
= 10%
Answer(s): (a) $66.60; (b) 10%