During a sale, the discount given by Stall A and Stall B are as shown:
Stall A - Discount of $9 for every $45 spent
Stall B - 25% off Storewide
- Rachel wants to buy a vest. The price of the vest before discount in both shops is $290. What is the savings that Rachel makes if she buys at the shop that sells the same vest cheaper?
- Abi bought a jumpsuit and a sweater from Stall A and paid $288. What was the total cost of the jumpsuit and the sweater before the discount?
- The price of the same sweater after discount at Stall B is $49.50. Given that the price of the sweater before discount is the same in both stalls, what is the percentage discount given to the sweater at Stall A? Round off the answer to 1 decimal place.
(a)
Amount to pay at Stall A for every $45 spent
= 45 - 9
= $36
Number of sets of $45 in $290
= 290 ÷ 45
= 6 r 20
Discounted price of the vest at Stall A
= 6 x 36 + 20
= $236
Discounted price of the vest at Stall B
= 75% x 290
=
75100 x 290
= $217.50
Amount of savings
= 236 - 217.50
= $18.50
(b)
Number of sets of $36 in $288
= 288 ÷ 36
= 8
Total cost of the jumpsuit and the sweater
= 8 x 45
= $360
(c)
|
Stall A |
Stall B |
Original Price |
$66 |
$66 |
Discount |
- $9 |
- 25% |
Discounted Price |
$57 |
$49.50 |
Original price of the sweater at Stall B before discount
= 49.50 ÷
75100= $66
If the original price of the sweater at Stall A and Stall B is the same, the original price of the sweater at Stall A is $66.
Number of sets of $45 in $66
= 66 ÷ 45
= 1 r 21
Discounted price of the sweater at Stall A
= 1 x 36 + 21
= $57
Discount given for the sweater at Stall A
= 66 - 57
= $9
Percent discount given to the sweater at Stall A
= 100% x
966 ≈ 13.6%
Answer(s): (a) $18.50; (b) $360; (c) 13.6%