During a bonanza, the discount given by Stall S and Stall T are as shown:
Stall S - Discount of $5 for every $25 spent
Stall T - 25% off Storewide
- Risa wants to buy a blazer. The price of the blazer before discount in both shops is $170. What is the savings that Risa makes if she buys at the shop that sells the same blazer cheaper?
- Barbara bought a sweater and a jacket from Stall S and paid $60. What was the total cost of the sweater and the jacket before the discount?
- The price of the same jacket after discount at Stall T is $133.50. Given that the price of the jacket before discount is the same in both stalls, what is the percentage discount given to the jacket at Stall S? Round off the answer to 1 decimal place.
(a)
Amount to pay at Stall S for every $25 spent
= 25 - 5
= $20
Number of sets of $25 in $170
= 170 ÷ 25
= 6 r 20
Discounted price of the blazer at Stall S
= 6 x 20 + 20
= $140
Discounted price of the blazer at Stall T
= 75% x 170
=
75100 x 170
= $127.50
Amount of savings
= 140 - 127.50
= $12.50
(b)
Number of sets of $20 in $60
= 60 ÷ 20
= 3
Total cost of the sweater and the jacket
= 3 x 25
= $75
(c)
|
Stall S |
Stall T |
Original Price |
$178 |
$178 |
Discount |
- $35 |
- 25% |
Discounted Price |
$143 |
$133.50 |
Original price of the jacket at Stall T before discount
= 133.50 ÷
75100= $178
If the original price of the jacket at Stall S and Stall T is the same, the original price of the jacket at Stall S is $178.
Number of sets of $25 in $178
= 178 ÷ 25
= 7 r 3
Discounted price of the jacket at Stall S
= 7 x 20 + 3
= $143
Discount given for the jacket at Stall S
= 178 - 143
= $35
Percent discount given to the jacket at Stall S
= 100% x
35178 ≈ 19.7%
Answer(s): (a) $12.50; (b) $75; (c) 19.7%