PSLEMrs Perry bought a blazer and a ring at a discount. She spent a total of $85.90 on these two items. She spent $24.70 more on the ring than on the blazer.
- How much did she spend on the ring?
- The total discount given for the two items was $27.10. She was given a 10% discount for the blazer. What was the percentage discount given for the ring?
(a)
Amount spent on the blazer = 1 u
Amount spent on the ring = 1 u + 24.70
Total amount spent on the blazer and the ring
= 1 u + 1 u + 24.70
= 2 u + 24.70
2 u + 24.70 = 85.90
2 u = 85.90 - 24.70
2 u = 61.20
1 u = 61.20 ÷ 2 = 30.60
Amount that Mrs Perry spent on the ring
= 30.60 + 24.70
= $55.30
(b)
|
Blazer |
Ring |
Total |
Original price |
100% |
$79 |
|
Discount |
10% $3.40 |
$23.70 |
$27.10 |
Discounted price |
90% $30.60 |
$55.30 |
$85.90 |
Discounted price of the blazer
= 100% - 10%
= 90%
90% of the price of the blazer = 30.60
1% of the price of the blazer = 30.60 ÷ 90
10% of the price of the blazer = 30.60 ÷ 90 x 10 = 3.40
Discount given for the ring
= 27.10 - 3.40
= $23.70
Original price of the ring
= 55.30 + 23.70
= $79
Percentage discount of the ring
=
23.7079 x 100%
= 30%
Answer(s): (a) $55.30; (b) 30%