During a sale, the discount given by Shop T and Shop U are as shown:
Shop T - Discount of $9 for every $45 spent
Shop U - 25% off Storewide
- Ivory wants to buy a vest. The price of the vest before discount in both shops is $270. What is the savings that Ivory makes if she buys at the shop that sells the same vest cheaper?
- Vanessa bought a jumpsuit and a hoodie from Shop T and paid $108. What was the total cost of the jumpsuit and the hoodie before the discount?
- The price of the same hoodie after discount at Shop U is $139.50. Given that the price of the hoodie before discount is the same in both shops, what is the percentage discount given to the hoodie at Shop T? Round off the answer to 1 decimal place.
(a)
Amount to pay at Shop T for every $45 spent
= 45 - 9
= $36
Number of sets of $45 in $270
= 270 ÷ 45
= 6 r 0
Discounted price of the vest at Shop T
= 6 x 36 + 0
= $216
Discounted price of the vest at Shop U
= 75% x 270
=
75100 x 270
= $202.50
Amount of savings
= 216 - 202.50
= $13.50
(b)
Number of sets of $36 in $108
= 108 ÷ 36
= 3
Total cost of the jumpsuit and the hoodie
= 3 x 45
= $135
(c)
|
Shop T |
Shop U |
Original Price |
$186 |
$186 |
Discount |
- $36 |
- 25% |
Discounted Price |
$150 |
$139.50 |
Original price of the hoodie at Shop U before discount
= 139.50 ÷
75100= $186
If the original price of the hoodie at Shop T and Shop U is the same, the original price of the hoodie at Shop T is $186.
Number of sets of $45 in $186
= 186 ÷ 45
= 4 r 6
Discounted price of the hoodie at Shop T
= 4 x 36 + 6
= $150
Discount given for the hoodie at Shop T
= 186 - 150
= $36
Percent discount given to the hoodie at Shop T
= 100% x
36186 ≈ 19.4%
Answer(s): (a) $13.50; (b) $135; (c) 19.4%