During a sale, the discount given by Boutique R and Boutique S are as shown:
Boutique R - Discount of $5 for every $25 spent
Boutique S - 25% off Storewide
- Penelope wants to buy a coat. The price of the coat before discount in both shops is $390. What is the savings that Penelope makes if she buys at the shop that sells the same coat cheaper?
- Betty bought a blouse and a blouse from Boutique R and paid $140. What was the total cost of the blouse and the blouse before the discount?
- The price of the same blouse after discount at Boutique S is $115.50. Given that the price of the blouse before discount is the same in both boutiques, what is the percentage discount given to the blouse at Boutique R? Round off the answer to 1 decimal place.
(a)
Amount to pay at Boutique R for every $25 spent
= 25 - 5
= $20
Number of sets of $25 in $390
= 390 ÷ 25
= 15 r 15
Discounted price of the coat at Boutique R
= 15 x 20 + 15
= $315
Discounted price of the coat at Boutique S
= 75% x 390
=
75100 x 390
= $292.50
Amount of savings
= 315 - 292.50
= $22.50
(b)
Number of sets of $20 in $140
= 140 ÷ 20
= 7
Total cost of the blouse and the blouse
= 7 x 25
= $175
(c)
|
Boutique R |
Boutique S |
Original Price |
$154 |
$154 |
Discount |
- $30 |
- 25% |
Discounted Price |
$124 |
$115.50 |
Original price of the blouse at Boutique S before discount
= 115.50 ÷
75100= $154
If the original price of the blouse at Boutique R and Boutique S is the same, the original price of the blouse at Boutique R is $154.
Number of sets of $25 in $154
= 154 ÷ 25
= 6 r 4
Discounted price of the blouse at Boutique R
= 6 x 20 + 4
= $124
Discount given for the blouse at Boutique R
= 154 - 124
= $30
Percent discount given to the blouse at Boutique R
= 100% x
30154 ≈ 19.5%
Answer(s): (a) $22.50; (b) $175; (c) 19.5%