PSLEMrs Daniel bought a skirt and a ring at a discount. She spent a total of $84.90 on these two items. She spent $50.10 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 $19.10. 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 + 50.10
Total amount spent on the skirt and the ring
= 1 u + 1 u + 50.10
= 2 u + 50.10
2 u + 50.10 = 84.90
2 u = 84.90 - 50.10
2 u = 34.80
1 u = 34.80 ÷ 2 = 17.40
Amount that Mrs Daniel spent on the ring
= 17.40 + 50.10
= $67.50
(b)
|
Skirt |
Ring |
Total |
Original price |
100% |
$75 |
|
Discount |
40% $11.60 |
$7.50 |
$19.10 |
Discounted price |
60% $17.40 |
$67.50 |
$84.90 |
Discounted price of the skirt
= 100% - 40%
= 60%
60% of the price of the skirt = 17.40
1% of the price of the skirt = 17.40 ÷ 60
40% of the price of the skirt = 17.40 ÷ 60 x 40 = 11.60
Discount given for the ring
= 19.10 - 11.60
= $7.50
Original price of the ring
= 67.50 + 7.50
= $75
Percentage discount of the ring
=
7.5075 x 100%
= 10%
Answer(s): (a) $67.50; (b) 10%