PSLEMrs Archie bought a shirt and a ring at a discount. She spent a total of $59.30 on these two items. She spent $43.90 more on the ring than on the shirt.
- How much did she spend on the ring?
- The total discount given for the two items was $37.70. She was given a 30% discount for the shirt. What was the percentage discount given for the ring?
(a)
Amount spent on the shirt = 1 u
Amount spent on the ring = 1 u + 43.90
Total amount spent on the shirt and the ring
= 1 u + 1 u + 43.90
= 2 u + 43.90
2 u + 43.90 = 59.30
2 u = 59.30 - 43.90
2 u = 15.40
1 u = 15.40 ÷ 2 = 7.70
Amount that Mrs Archie spent on the ring
= 7.70 + 43.90
= $51.60
(b)
|
Shirt |
Ring |
Total |
Original price |
100% |
$86 |
|
Discount |
30% $3.30 |
$34.40 |
$37.70 |
Discounted price |
70% $7.70 |
$51.60 |
$59.30 |
Discounted price of the shirt
= 100% - 30%
= 70%
70% of the price of the shirt = 7.70
1% of the price of the shirt = 7.70 ÷ 70
30% of the price of the shirt = 7.70 ÷ 70 x 30 = 3.30
Discount given for the ring
= 37.70 - 3.30
= $34.40
Original price of the ring
= 51.60 + 34.40
= $86
Percentage discount of the ring
=
34.4086 x 100%
= 40%
Answer(s): (a) $51.60; (b) 40%