During a promotion, the discount given by Shop U and Shop V are as shown:
Shop U - Discount of $5 for every $25 spent
Shop V - 25% off Storewide
- Tiffany wants to buy a skirt. The price of the skirt before discount in both shops is $250. What is the savings that Tiffany makes if she buys at the shop that sells the same skirt cheaper?
- Emma bought a blazer and a hoodie from Shop U and paid $140. What was the total cost of the blazer and the hoodie before the discount?
- The price of the same hoodie after discount at Shop V is $61.50. 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 U? Round off the answer to 1 decimal place.
(a)
Amount to pay at Shop U for every $25 spent
= 25 - 5
= $20
Number of sets of $25 in $250
= 250 ÷ 25
= 10 r 0
Discounted price of the skirt at Shop U
= 10 x 20 + 0
= $200
Discounted price of the skirt at Shop V
= 75% x 250
=
75100 x 250
= $187.50
Amount of savings
= 200 - 187.50
= $12.50
(b)
Number of sets of $20 in $140
= 140 ÷ 20
= 7
Total cost of the blazer and the hoodie
= 7 x 25
= $175
(c)
|
Shop U |
Shop V |
Original Price |
$82 |
$82 |
Discount |
- $15 |
- 25% |
Discounted Price |
$67 |
$61.50 |
Original price of the hoodie at Shop V before discount
= 61.50 ÷
75100= $82
If the original price of the hoodie at Shop U and Shop V is the same, the original price of the hoodie at Shop U is $82.
Number of sets of $25 in $82
= 82 ÷ 25
= 3 r 7
Discounted price of the hoodie at Shop U
= 3 x 20 + 7
= $67
Discount given for the hoodie at Shop U
= 82 - 67
= $15
Percent discount given to the hoodie at Shop U
= 100% x
1582 ≈ 18.3%
Answer(s): (a) $12.50; (b) $175; (c) 18.3%