PSLEMrs Lee bought a jumpsuit and a ring at a discount. She spent a total of $49.10 on these two items. She spent $33.70 more on the ring than on the jumpsuit.
- How much did she spend on the ring?
- The total discount given for the two items was $30.90. She was given a 30% discount for the jumpsuit. What was the percentage discount given for the ring?
(a)
Amount spent on the jumpsuit = 1 u
Amount spent on the ring = 1 u + 33.70
Total amount spent on the jumpsuit and the ring
= 1 u + 1 u + 33.70
= 2 u + 33.70
2 u + 33.70 = 49.10
2 u = 49.10 - 33.70
2 u = 15.40
1 u = 15.40 ÷ 2 = 7.70
Amount that Mrs Lee spent on the ring
= 7.70 + 33.70
= $41.40
(b)
|
Jumpsuit |
Ring |
Total |
Original price |
100% |
$69 |
|
Discount |
30% $3.30 |
$27.60 |
$30.90 |
Discounted price |
70% $7.70 |
$41.40 |
$49.10 |
Discounted price of the jumpsuit
= 100% - 30%
= 70%
70% of the price of the jumpsuit = 7.70
1% of the price of the jumpsuit = 7.70 ÷ 70
30% of the price of the jumpsuit = 7.70 ÷ 70 x 30 = 3.30
Discount given for the ring
= 30.90 - 3.30
= $27.60
Original price of the ring
= 41.40 + 27.60
= $69
Percentage discount of the ring
=
27.6069 x 100%
= 40%
Answer(s): (a) $41.40; (b) 40%