During a promotion, the discount given by Shop M and Shop N are as shown:
Shop M - Discount of $8 for every $40 spent
Shop N - 25% off Storewide
- Shiyun wants to buy a windbreaker. The price of the windbreaker before discount in both shops is $270. What is the savings that Shiyun makes if she buys at the shop that sells the same windbreaker cheaper?
- Zoe bought a blazer and a shirt from Shop M and paid $256. What was the total cost of the blazer and the shirt before the discount?
- The price of the same shirt after discount at Shop N is $136.50. Given that the price of the shirt before discount is the same in both shops, what is the percentage discount given to the shirt at Shop M? Round off the answer to 1 decimal place.
(a)
Amount to pay at Shop M for every $40 spent
= 40 - 8
= $32
Number of sets of $40 in $270
= 270 ÷ 40
= 6 r 30
Discounted price of the windbreaker at Shop M
= 6 x 32 + 30
= $222
Discounted price of the windbreaker at Shop N
= 75% x 270
=
75100 x 270
= $202.50
Amount of savings
= 222 - 202.50
= $19.50
(b)
Number of sets of $32 in $256
= 256 ÷ 32
= 8
Total cost of the blazer and the shirt
= 8 x 40
= $320
(c)
|
Shop M |
Shop N |
Original Price |
$182 |
$182 |
Discount |
- $32 |
- 25% |
Discounted Price |
$150 |
$136.50 |
Original price of the shirt at Shop N before discount
= 136.50 ÷
75100= $182
If the original price of the shirt at Shop M and Shop N is the same, the original price of the shirt at Shop M is $182.
Number of sets of $40 in $182
= 182 ÷ 40
= 4 r 22
Discounted price of the shirt at Shop M
= 4 x 32 + 22
= $150
Discount given for the shirt at Shop M
= 182 - 150
= $32
Percent discount given to the shirt at Shop M
= 100% x
32182 ≈ 17.6%
Answer(s): (a) $19.50; (b) $320; (c) 17.6%