PSLEMrs Vaidev bought a skirt and a ring at a discount. She spent a total of $98.70 on these two items. She spent $54.30 more on the ring than on the skirt.
- How much did she spend on the ring?
- The total discount given for the two items was $23.30. She was given a 40% discount for the skirt. What was the percentage discount given for the ring?
(a)
Amount spent on the skirt = 1 u
Amount spent on the ring = 1 u + 54.30
Total amount spent on the skirt and the ring
= 1 u + 1 u + 54.30
= 2 u + 54.30
2 u + 54.30 = 98.70
2 u = 98.70 - 54.30
2 u = 44.40
1 u = 44.40 ÷ 2 = 22.20
Amount that Mrs Vaidev spent on the ring
= 22.20 + 54.30
= $76.50
(b)
|
Skirt |
Ring |
Total |
Original price |
100% |
$85 |
|
Discount |
40% $14.80 |
$8.50 |
$23.30 |
Discounted price |
60% $22.20 |
$76.50 |
$98.70 |
Discounted price of the skirt
= 100% - 40%
= 60%
60% of the price of the skirt = 22.20
1% of the price of the skirt = 22.20 ÷ 60
40% of the price of the skirt = 22.20 ÷ 60 x 40 = 14.80
Discount given for the ring
= 23.30 - 14.80
= $8.50
Original price of the ring
= 76.50 + 8.50
= $85
Percentage discount of the ring
=
8.5085 x 100%
= 10%
Answer(s): (a) $76.50; (b) 10%