PSLEMrs Japheth bought a blouse and a ring at a discount. She spent a total of $47.70 on these two items. She spent $32.10 more on the ring than on the blouse.
- How much did she spend on the ring?
- The total discount given for the two items was $22.30. She was given a 40% discount for the blouse. What was the percentage discount given for the ring?
(a)
Amount spent on the blouse = 1 u
Amount spent on the ring = 1 u + 32.10
Total amount spent on the blouse and the ring
= 1 u + 1 u + 32.10
= 2 u + 32.10
2 u + 32.10 = 47.70
2 u = 47.70 - 32.10
2 u = 15.60
1 u = 15.60 ÷ 2 = 7.80
Amount that Mrs Japheth spent on the ring
= 7.80 + 32.10
= $39.90
(b)
|
Blouse |
Ring |
Total |
Original price |
100% |
$57 |
|
Discount |
40% $5.20 |
$17.10 |
$22.30 |
Discounted price |
60% $7.80 |
$39.90 |
$47.70 |
Discounted price of the blouse
= 100% - 40%
= 60%
60% of the price of the blouse = 7.80
1% of the price of the blouse = 7.80 ÷ 60
40% of the price of the blouse = 7.80 ÷ 60 x 40 = 5.20
Discount given for the ring
= 22.30 - 5.20
= $17.10
Original price of the ring
= 39.90 + 17.10
= $57
Percentage discount of the ring
=
17.1057 x 100%
= 30%
Answer(s): (a) $39.90; (b) 30%