PSLEMrs Rael bought a coat and a ring at a discount. She spent a total of $58.10 on these two items. She spent $34.30 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 $35.90. She was given a 30% 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 + 34.30
Total amount spent on the coat and the ring
= 1 u + 1 u + 34.30
= 2 u + 34.30
2 u + 34.30 = 58.10
2 u = 58.10 - 34.30
2 u = 23.80
1 u = 23.80 ÷ 2 = 11.90
Amount that Mrs Rael spent on the ring
= 11.90 + 34.30
= $46.20
(b)
|
Coat |
Ring |
Total |
Original price |
100% |
$77 |
|
Discount |
30% $5.10 |
$30.80 |
$35.90 |
Discounted price |
70% $11.90 |
$46.20 |
$58.10 |
Discounted price of the coat
= 100% - 30%
= 70%
70% of the price of the coat = 11.90
1% of the price of the coat = 11.90 ÷ 70
30% of the price of the coat = 11.90 ÷ 70 x 30 = 5.10
Discount given for the ring
= 35.90 - 5.10
= $30.80
Original price of the ring
= 46.20 + 30.80
= $77
Percentage discount of the ring
=
30.8077 x 100%
= 40%
Answer(s): (a) $46.20; (b) 40%