During a bonanza, the discount given by Boutique U and Boutique V are as shown:
Boutique U - Discount of $6 for every $30 spent
Boutique V - 25% off Storewide
- Tiffany wants to buy a dress. The price of the dress before discount in both shops is $210. What is the savings that Tiffany makes if she buys at the shop that sells the same dress cheaper?
- Wendy bought a vest and a shirt from Boutique U and paid $168. What was the total cost of the vest and the shirt before the discount?
- The price of the same shirt after discount at Boutique V is $37.50. Given that the price of the shirt before discount is the same in both boutiques, what is the percentage discount given to the shirt at Boutique U? Round off the answer to 1 decimal place.
(a)
Amount to pay at Boutique U for every $30 spent
= 30 - 6
= $24
Number of sets of $30 in $210
= 210 ÷ 30
= 7 r 0
Discounted price of the dress at Boutique U
= 7 x 24 + 0
= $168
Discounted price of the dress at Boutique V
= 75% x 210
=
75100 x 210
= $157.50
Amount of savings
= 168 - 157.50
= $10.50
(b)
Number of sets of $24 in $168
= 168 ÷ 24
= 7
Total cost of the vest and the shirt
= 7 x 30
= $210
(c)
|
Boutique U |
Boutique V |
Original Price |
$50 |
$50 |
Discount |
- $6 |
- 25% |
Discounted Price |
$44 |
$37.50 |
Original price of the shirt at Boutique V before discount
= 37.50 ÷
75100= $50
If the original price of the shirt at Boutique U and Boutique V is the same, the original price of the shirt at Boutique U is $50.
Number of sets of $30 in $50
= 50 ÷ 30
= 1 r 20
Discounted price of the shirt at Boutique U
= 1 x 24 + 20
= $44
Discount given for the shirt at Boutique U
= 50 - 44
= $6
Percent discount given to the shirt at Boutique U
= 100% x
650 ≈ 12.0%
Answer(s): (a) $10.50; (b) $210; (c) 12.0%