PSLEMrs Ivan bought a jumpsuit and a ring at a discount. She spent a total of $84.70 on these two items. She spent $14.50 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 $16.30. She was given a 10% 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 + 14.50
Total amount spent on the jumpsuit and the ring
= 1 u + 1 u + 14.50
= 2 u + 14.50
2 u + 14.50 = 84.70
2 u = 84.70 - 14.50
2 u = 70.20
1 u = 70.20 ÷ 2 = 35.10
Amount that Mrs Ivan spent on the ring
= 35.10 + 14.50
= $49.60
(b)
|
Jumpsuit |
Ring |
Total |
Original price |
100% |
$62 |
|
Discount |
10% $3.90 |
$12.40 |
$16.30 |
Discounted price |
90% $35.10 |
$49.60 |
$84.70 |
Discounted price of the jumpsuit
= 100% - 10%
= 90%
90% of the price of the jumpsuit = 35.10
1% of the price of the jumpsuit = 35.10 ÷ 90
10% of the price of the jumpsuit = 35.10 ÷ 90 x 10 = 3.90
Discount given for the ring
= 16.30 - 3.90
= $12.40
Original price of the ring
= 49.60 + 12.40
= $62
Percentage discount of the ring
=
12.4062 x 100%
= 20%
Answer(s): (a) $49.60; (b) 20%