PSLEMrs Sean bought a blouse and a ring at a discount. She spent a total of $86.40 on these two items. She spent $43.20 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 $9.60. She was given a 10% 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 + 43.20
Total amount spent on the blouse and the ring
= 1 u + 1 u + 43.20
= 2 u + 43.20
2 u + 43.20 = 86.40
2 u = 86.40 - 43.20
2 u = 43.20
1 u = 43.20 ÷ 2 = 21.60
Amount that Mrs Sean spent on the ring
= 21.60 + 43.20
= $64.80
(b)
|
Blouse |
Ring |
Total |
Original price |
100% |
$72 |
|
Discount |
10% $2.40 |
$7.20 |
$9.60 |
Discounted price |
90% $21.60 |
$64.80 |
$86.40 |
Discounted price of the blouse
= 100% - 10%
= 90%
90% of the price of the blouse = 21.60
1% of the price of the blouse = 21.60 ÷ 90
10% of the price of the blouse = 21.60 ÷ 90 x 10 = 2.40
Discount given for the ring
= 9.60 - 2.40
= $7.20
Original price of the ring
= 64.80 + 7.20
= $72
Percentage discount of the ring
=
7.2072 x 100%
= 10%
Answer(s): (a) $64.80; (b) 10%