During a bonanza, 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
- Victorium wants to buy a dress. The price of the dress before discount in both shops is $370. What is the savings that Victorium makes if she buys at the shop that sells the same dress cheaper?
- Zara bought a blazer and a jacket from Shop T and paid $144. What was the total cost of the blazer and the jacket before the discount?
- The price of the same jacket after discount at Shop U is $127.50. Given that the price of the jacket before discount is the same in both shops, what is the percentage discount given to the jacket 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 $370
= 370 ÷ 45
= 8 r 10
Discounted price of the dress at Shop T
= 8 x 36 + 10
= $298
Discounted price of the dress at Shop U
= 75% x 370
=
75100 x 370
= $277.50
Amount of savings
= 298 - 277.50
= $20.50
(b)
Number of sets of $36 in $144
= 144 ÷ 36
= 4
Total cost of the blazer and the jacket
= 4 x 45
= $180
(c)
|
Shop T |
Shop U |
Original Price |
$170 |
$170 |
Discount |
- $27 |
- 25% |
Discounted Price |
$143 |
$127.50 |
Original price of the jacket at Shop U before discount
= 127.50 ÷
75100= $170
If the original price of the jacket at Shop T and Shop U is the same, the original price of the jacket at Shop T is $170.
Number of sets of $45 in $170
= 170 ÷ 45
= 3 r 35
Discounted price of the jacket at Shop T
= 3 x 36 + 35
= $143
Discount given for the jacket at Shop T
= 170 - 143
= $27
Percent discount given to the jacket at Shop T
= 100% x
27170 ≈ 15.9%
Answer(s): (a) $20.50; (b) $180; (c) 15.9%