PSLEMrs Charlie bought a coat and a ring at a discount. She spent a total of $59.80 on these two items. She spent $37.40 more on the ring than on the coat.
- How much did she spend on the ring?
- The total discount given for the two items was $8.20. She was given a 20% discount for the coat. What was the percentage discount given for the ring?
(a)
Amount spent on the coat = 1 u
Amount spent on the ring = 1 u + 37.40
Total amount spent on the coat and the ring
= 1 u + 1 u + 37.40
= 2 u + 37.40
2 u + 37.40 = 59.80
2 u = 59.80 - 37.40
2 u = 22.40
1 u = 22.40 ÷ 2 = 11.20
Amount that Mrs Charlie spent on the ring
= 11.20 + 37.40
= $48.60
(b)
|
Coat |
Ring |
Total |
Original price |
100% |
$54 |
|
Discount |
20% $2.80 |
$5.40 |
$8.20 |
Discounted price |
80% $11.20 |
$48.60 |
$59.80 |
Discounted price of the coat
= 100% - 20%
= 80%
80% of the price of the coat = 11.20
1% of the price of the coat = 11.20 ÷ 80
20% of the price of the coat = 11.20 ÷ 80 x 20 = 2.80
Discount given for the ring
= 8.20 - 2.80
= $5.40
Original price of the ring
= 48.60 + 5.40
= $54
Percentage discount of the ring
=
5.4054 x 100%
= 10%
Answer(s): (a) $48.60; (b) 10%