During a bonanza, the discount given by Stall W and Stall X are as shown:
Stall W - Discount of $9 for every $45 spent
Stall X - 25% off Storewide
- Ivory wants to buy a blazer. The price of the blazer before discount in both shops is $310. What is the savings that Ivory makes if she buys at the shop that sells the same blazer cheaper?
- Roshel bought a vest and a cardigan from Stall W and paid $288. What was the total cost of the vest and the cardigan before the discount?
- The price of the same cardigan after discount at Stall X is $82.50. Given that the price of the cardigan before discount is the same in both stalls, what is the percentage discount given to the cardigan at Stall W? Round off the answer to 1 decimal place.
(a)
Amount to pay at Stall W for every $45 spent
= 45 - 9
= $36
Number of sets of $45 in $310
= 310 ÷ 45
= 6 r 40
Discounted price of the blazer at Stall W
= 6 x 36 + 40
= $256
Discounted price of the blazer at Stall X
= 75% x 310
=
75100 x 310
= $232.50
Amount of savings
= 256 - 232.50
= $23.50
(b)
Number of sets of $36 in $288
= 288 ÷ 36
= 8
Total cost of the vest and the cardigan
= 8 x 45
= $360
(c)
|
Stall W |
Stall X |
Original Price |
$110 |
$110 |
Discount |
- $18 |
- 25% |
Discounted Price |
$92 |
$82.50 |
Original price of the cardigan at Stall X before discount
= 82.50 ÷
75100= $110
If the original price of the cardigan at Stall W and Stall X is the same, the original price of the cardigan at Stall W is $110.
Number of sets of $45 in $110
= 110 ÷ 45
= 2 r 20
Discounted price of the cardigan at Stall W
= 2 x 36 + 20
= $92
Discount given for the cardigan at Stall W
= 110 - 92
= $18
Percent discount given to the cardigan at Stall W
= 100% x
18110 ≈ 16.4%
Answer(s): (a) $23.50; (b) $360; (c) 16.4%