PSLEMrs Cole bought a dress and a ring at a discount. She spent a total of $98.10 on these two items. She spent $51.30 more on the ring than on the dress.
- How much did she spend on the ring?
- The total discount given for the two items was $10.90. She was given a 10% discount for the dress. What was the percentage discount given for the ring?
(a)
Amount spent on the dress = 1 u
Amount spent on the ring = 1 u + 51.30
Total amount spent on the dress and the ring
= 1 u + 1 u + 51.30
= 2 u + 51.30
2 u + 51.30 = 98.10
2 u = 98.10 - 51.30
2 u = 46.80
1 u = 46.80 ÷ 2 = 23.40
Amount that Mrs Cole spent on the ring
= 23.40 + 51.30
= $74.70
(b)
|
Dress |
Ring |
Total |
Original price |
100% |
$83 |
|
Discount |
10% $2.60 |
$8.30 |
$10.90 |
Discounted price |
90% $23.40 |
$74.70 |
$98.10 |
Discounted price of the dress
= 100% - 10%
= 90%
90% of the price of the dress = 23.40
1% of the price of the dress = 23.40 ÷ 90
10% of the price of the dress = 23.40 ÷ 90 x 10 = 2.60
Discount given for the ring
= 10.90 - 2.60
= $8.30
Original price of the ring
= 74.70 + 8.30
= $83
Percentage discount of the ring
=
8.3083 x 100%
= 10%
Answer(s): (a) $74.70; (b) 10%