PSLEMrs Ian bought a blouse and a ring at a discount. She spent a total of $58.20 on these two items. She spent $23.40 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 $38.80. She was given a 40% 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 + 23.40
Total amount spent on the blouse and the ring
= 1 u + 1 u + 23.40
= 2 u + 23.40
2 u + 23.40 = 58.20
2 u = 58.20 - 23.40
2 u = 34.80
1 u = 34.80 ÷ 2 = 17.40
Amount that Mrs Ian spent on the ring
= 17.40 + 23.40
= $40.80
(b)
|
Blouse |
Ring |
Total |
Original price |
100% |
$68 |
|
Discount |
40% $11.60 |
$27.20 |
$38.80 |
Discounted price |
60% $17.40 |
$40.80 |
$58.20 |
Discounted price of the blouse
= 100% - 40%
= 60%
60% of the price of the blouse = 17.40
1% of the price of the blouse = 17.40 ÷ 60
40% of the price of the blouse = 17.40 ÷ 60 x 40 = 11.60
Discount given for the ring
= 38.80 - 11.60
= $27.20
Original price of the ring
= 40.80 + 27.20
= $68
Percentage discount of the ring
=
27.2068 x 100%
= 40%
Answer(s): (a) $40.80; (b) 40%