During a bonanza, the discount given by Boutique N and Boutique P are as shown:
Boutique N - Discount of $7 for every $35 spent
Boutique P - 25% off Storewide

1. Shannon wants to buy a blouse. The price of the blouse before discount in both shops is $390. What is the savings that Shannon makes if she buys at the shop that sells the same blouse cheaper?
2. Zara bought a vest and a skirt from Boutique N and paid $196. What was the total cost of the vest and the skirt before the discount?
3. The price of the same skirt after discount at Boutique P is $64.50. Given that the price of the skirt before discount is the same in both boutiques, what is the percentage discount given to the skirt at Boutique N? Round off the answer to 1 decimal place.

(a)
Amount to pay at Boutique N for every $35 spent
= 35 - 7
= $28

Number of sets of $35 in $390
= 390 ÷ 35
= 11 r 5

Discounted price of the blouse at Boutique N
= 11 x 28 + 5
= $313

Discounted price of the blouse at Boutique P
= 75% x 390 
= ⁷⁵₁₀₀ x 390 
= $292.50

Amount of savings
= 313 - 292.50
= $20.50

(b)
Number of sets of $28 in $196
= 196 ÷ 28
= 7

Total cost of the vest and the skirt
= 7 x 35
= $245

(c)

	Boutique N	Boutique P
Original Price	$86	$86
Discount	- $14	- 25%
Discounted Price	$72	$64.50

Original price of the skirt at Boutique P before discount
= 64.50 ÷ ⁷⁵₁₀₀
= $86

If the original price of the skirt at Boutique N and Boutique P is the same, the original price of the skirt at Boutique N is $86.

Number of sets of $35 in $86
= 86 ÷ 35
= 2 r 16

Discounted price of the skirt at Boutique N
= 2 x 28 + 16
= $72

Discount given for the skirt at Boutique N
= 86 - 72
= $14

Percent discount given to the skirt at Boutique N
= 100% x ¹⁴₈₆ 
≈ 16.3%

Answer(s): (a) $20.50; (b) $245; (c) 16.3%