PSLEMrs Ben bought a dress and a ring at a discount. She spent a total of $62.50 on these two items. She spent $40.10 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 $8.50. She was given a 20% 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 + 40.10
Total amount spent on the dress and the ring
= 1 u + 1 u + 40.10
= 2 u + 40.10
2 u + 40.10 = 62.50
2 u = 62.50 - 40.10
2 u = 22.40
1 u = 22.40 ÷ 2 = 11.20
Amount that Mrs Ben spent on the ring
= 11.20 + 40.10
= $51.30
(b)
|
Dress |
Ring |
Total |
Original price |
100% |
$57 |
|
Discount |
20% $2.80 |
$5.70 |
$8.50 |
Discounted price |
80% $11.20 |
$51.30 |
$62.50 |
Discounted price of the dress
= 100% - 20%
= 80%
80% of the price of the dress = 11.20
1% of the price of the dress = 11.20 ÷ 80
20% of the price of the dress = 11.20 ÷ 80 x 20 = 2.80
Discount given for the ring
= 8.50 - 2.80
= $5.70
Original price of the ring
= 51.30 + 5.70
= $57
Percentage discount of the ring
=
5.7057 x 100%
= 10%
Answer(s): (a) $51.30; (b) 10%