During a sale, the discount given by Stall M and Stall N are as shown:
Stall M - Discount of $9 for every $45 spent
Stall N - 25% off Storewide
- Wendy wants to buy a coat. The price of the coat before discount in both shops is $110. What is the savings that Wendy makes if she buys at the shop that sells the same coat cheaper?
- Emily bought a jumpsuit and a skirt from Stall M and paid $180. What was the total cost of the jumpsuit and the skirt before the discount?
- The price of the same skirt after discount at Stall N is $142.50. Given that the price of the skirt before discount is the same in both stalls, what is the percentage discount given to the skirt at Stall M? Round off the answer to 1 decimal place.
(a)
Amount to pay at Stall M for every $45 spent
= 45 - 9
= $36
Number of sets of $45 in $110
= 110 ÷ 45
= 2 r 20
Discounted price of the coat at Stall M
= 2 x 36 + 20
= $92
Discounted price of the coat at Stall N
= 75% x 110
=
75100 x 110
= $82.50
Amount of savings
= 92 - 82.50
= $9.50
(b)
Number of sets of $36 in $180
= 180 ÷ 36
= 5
Total cost of the jumpsuit and the skirt
= 5 x 45
= $225
(c)
|
Stall M |
Stall N |
Original Price |
$190 |
$190 |
Discount |
- $36 |
- 25% |
Discounted Price |
$154 |
$142.50 |
Original price of the skirt at Stall N before discount
= 142.50 ÷
75100= $190
If the original price of the skirt at Stall M and Stall N is the same, the original price of the skirt at Stall M is $190.
Number of sets of $45 in $190
= 190 ÷ 45
= 4 r 10
Discounted price of the skirt at Stall M
= 4 x 36 + 10
= $154
Discount given for the skirt at Stall M
= 190 - 154
= $36
Percent discount given to the skirt at Stall M
= 100% x
36190 ≈ 18.9%
Answer(s): (a) $9.50; (b) $225; (c) 18.9%