PSLEMrs Neave bought a blouse and a ring at a discount. She spent a total of $67.50 on these two items. She spent $33.30 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 $14.50. 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 + 33.30
Total amount spent on the blouse and the ring
= 1 u + 1 u + 33.30
= 2 u + 33.30
2 u + 33.30 = 67.50
2 u = 67.50 - 33.30
2 u = 34.20
1 u = 34.20 ÷ 2 = 17.10
Amount that Mrs Neave spent on the ring
= 17.10 + 33.30
= $50.40
(b)
|
Blouse |
Ring |
Total |
Original price |
100% |
$63 |
|
Discount |
10% $1.90 |
$12.60 |
$14.50 |
Discounted price |
90% $17.10 |
$50.40 |
$67.50 |
Discounted price of the blouse
= 100% - 10%
= 90%
90% of the price of the blouse = 17.10
1% of the price of the blouse = 17.10 ÷ 90
10% of the price of the blouse = 17.10 ÷ 90 x 10 = 1.90
Discount given for the ring
= 14.50 - 1.90
= $12.60
Original price of the ring
= 50.40 + 12.60
= $63
Percentage discount of the ring
=
12.6063 x 100%
= 20%
Answer(s): (a) $50.40; (b) 20%