During a promotion, the discount given by Boutique F and Boutique G are as shown:
Boutique F - Discount of $8 for every $40 spent
Boutique G - 25% off Storewide
- Jade wants to buy a jacket. The price of the jacket before discount in both shops is $490. What is the savings that Jade makes if she buys at the shop that sells the same jacket cheaper?
- Nicole bought a jumpsuit and a skirt from Boutique F and paid $64. What was the total cost of the jumpsuit and the skirt before the discount?
- The price of the same skirt after discount at Boutique G is $85.50. Given that the price of the skirt before discount is the same in both boutiques, what is the percentage discount given to the skirt at Boutique F? Round off the answer to 1 decimal place.
(a)
Amount to pay at Boutique F for every $40 spent
= 40 - 8
= $32
Number of sets of $40 in $490
= 490 ÷ 40
= 12 r 10
Discounted price of the jacket at Boutique F
= 12 x 32 + 10
= $394
Discounted price of the jacket at Boutique G
= 75% x 490
=
75100 x 490
= $367.50
Amount of savings
= 394 - 367.50
= $26.50
(b)
Number of sets of $32 in $64
= 64 ÷ 32
= 2
Total cost of the jumpsuit and the skirt
= 2 x 40
= $80
(c)
|
Boutique F |
Boutique G |
Original Price |
$114 |
$114 |
Discount |
- $16 |
- 25% |
Discounted Price |
$98 |
$85.50 |
Original price of the skirt at Boutique G before discount
= 85.50 ÷
75100= $114
If the original price of the skirt at Boutique F and Boutique G is the same, the original price of the skirt at Boutique F is $114.
Number of sets of $40 in $114
= 114 ÷ 40
= 2 r 34
Discounted price of the skirt at Boutique F
= 2 x 32 + 34
= $98
Discount given for the skirt at Boutique F
= 114 - 98
= $16
Percent discount given to the skirt at Boutique F
= 100% x
16114 ≈ 14%
Answer(s): (a) $26.50; (b) $80; (c) 14%