PSLEMrs Charlie bought a shirt and a ring at a discount. She spent a total of $63.90 on these two items. She spent $40.50 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 $7.10. She was given a 10% 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 + 40.50
Total amount spent on the shirt and the ring
= 1 u + 1 u + 40.50
= 2 u + 40.50
2 u + 40.50 = 63.90
2 u = 63.90 - 40.50
2 u = 23.40
1 u = 23.40 ÷ 2 = 11.70
Amount that Mrs Charlie spent on the ring
= 11.70 + 40.50
= $52.20
(b)
|
Shirt |
Ring |
Total |
Original price |
100% |
$58 |
|
Discount |
10% $1.30 |
$5.80 |
$7.10 |
Discounted price |
90% $11.70 |
$52.20 |
$63.90 |
Discounted price of the shirt
= 100% - 10%
= 90%
90% of the price of the shirt = 11.70
1% of the price of the shirt = 11.70 ÷ 90
10% of the price of the shirt = 11.70 ÷ 90 x 10 = 1.30
Discount given for the ring
= 7.10 - 1.30
= $5.80
Original price of the ring
= 52.20 + 5.80
= $58
Percentage discount of the ring
=
5.8058 x 100%
= 10%
Answer(s): (a) $52.20; (b) 10%