During a sale, the discount given by Shop L and Shop M are as shown:
Shop L - Discount of $8 for every $40 spent
Shop M - 25% off Storewide
- Cathy wants to buy a vest. The price of the vest before discount in both shops is $470. What is the savings that Cathy makes if she buys at the shop that sells the same vest cheaper?
- Ivory bought a coat and a blouse from Shop L and paid $160. What was the total cost of the coat and the blouse before the discount?
- The price of the same blouse after discount at Shop M is $82.50. Given that the price of the blouse before discount is the same in both shops, what is the percentage discount given to the blouse at Shop L? Round off the answer to 1 decimal place.
(a)
Amount to pay at Shop L for every $40 spent
= 40 - 8
= $32
Number of sets of $40 in $470
= 470 ÷ 40
= 11 r 30
Discounted price of the vest at Shop L
= 11 x 32 + 30
= $382
Discounted price of the vest at Shop M
= 75% x 470
=
75100 x 470
= $352.50
Amount of savings
= 382 - 352.50
= $29.50
(b)
Number of sets of $32 in $160
= 160 ÷ 32
= 5
Total cost of the coat and the blouse
= 5 x 40
= $200
(c)
|
Shop L |
Shop M |
Original Price |
$110 |
$110 |
Discount |
- $16 |
- 25% |
Discounted Price |
$94 |
$82.50 |
Original price of the blouse at Shop M before discount
= 82.50 ÷
75100= $110
If the original price of the blouse at Shop L and Shop M is the same, the original price of the blouse at Shop L is $110.
Number of sets of $40 in $110
= 110 ÷ 40
= 2 r 30
Discounted price of the blouse at Shop L
= 2 x 32 + 30
= $94
Discount given for the blouse at Shop L
= 110 - 94
= $16
Percent discount given to the blouse at Shop L
= 100% x
16110 ≈ 14.5%
Answer(s): (a) $29.50; (b) $200; (c) 14.5%