During a bonanza, the discount given by Stall Y and Stall Z are as shown:
Stall Y - Discount of $8 for every $40 spent
Stall Z - 25% off Storewide
- Dana wants to buy a jacket. The price of the jacket before discount in both shops is $150. What is the savings that Dana makes if she buys at the shop that sells the same jacket cheaper?
- Jean bought a shirt and a blouse from Stall Y and paid $224. What was the total cost of the shirt and the blouse before the discount?
- The price of the same blouse after discount at Stall Z is $85.50. Given that the price of the blouse before discount is the same in both stalls, what is the percentage discount given to the blouse at Stall Y? Round off the answer to 1 decimal place.
(a)
Amount to pay at Stall Y for every $40 spent
= 40 - 8
= $32
Number of sets of $40 in $150
= 150 ÷ 40
= 3 r 30
Discounted price of the jacket at Stall Y
= 3 x 32 + 30
= $126
Discounted price of the jacket at Stall Z
= 75% x 150
=
75100 x 150
= $112.50
Amount of savings
= 126 - 112.50
= $13.50
(b)
Number of sets of $32 in $224
= 224 ÷ 32
= 7
Total cost of the shirt and the blouse
= 7 x 40
= $280
(c)
|
Stall Y |
Stall Z |
Original Price |
$114 |
$114 |
Discount |
- $16 |
- 25% |
Discounted Price |
$98 |
$85.50 |
Original price of the blouse at Stall Z before discount
= 85.50 ÷
75100= $114
If the original price of the blouse at Stall Y and Stall Z is the same, the original price of the blouse at Stall Y is $114.
Number of sets of $40 in $114
= 114 ÷ 40
= 2 r 34
Discounted price of the blouse at Stall Y
= 2 x 32 + 34
= $98
Discount given for the blouse at Stall Y
= 114 - 98
= $16
Percent discount given to the blouse at Stall Y
= 100% x
16114 ≈ 14%
Answer(s): (a) $13.50; (b) $280; (c) 14%