During a sale, the discount given by Boutique P and Boutique Q are as shown:
Boutique P - Discount of $6 for every $30 spent
Boutique Q - 25% off Storewide

1. Fiona wants to buy a jumpsuit. The price of the jumpsuit before discount in both shops is $350. What is the savings that Fiona makes if she buys at the shop that sells the same jumpsuit cheaper?
2. Abi bought a jacket and a cardigan from Boutique P and paid $168. What was the total cost of the jacket and the cardigan before the discount?
3. The price of the same cardigan after discount at Boutique Q is $85.50. Given that the price of the cardigan before discount is the same in both boutiques, what is the percentage discount given to the cardigan at Boutique P? Round off the answer to 1 decimal place.

(a)
Amount to pay at Boutique P for every $30 spent
= 30 - 6
= $24

Number of sets of $30 in $350
= 350 ÷ 30
= 11 r 20

Discounted price of the jumpsuit at Boutique P
= 11 x 24 + 20
= $284

Discounted price of the jumpsuit at Boutique Q
= 75% x 350 
= ⁷⁵₁₀₀ x 350 
= $262.50

Amount of savings
= 284 - 262.50
= $21.50

(b)
Number of sets of $24 in $168
= 168 ÷ 24
= 7

Total cost of the jacket and the cardigan
= 7 x 30
= $210

(c)

	Boutique P	Boutique Q
Original Price	$114	$114
Discount	- $18	- 25%
Discounted Price	$96	$85.50

Original price of the cardigan at Boutique Q before discount
= 85.50 ÷ ⁷⁵₁₀₀
= $114

If the original price of the cardigan at Boutique P and Boutique Q is the same, the original price of the cardigan at Boutique P is $114.

Number of sets of $30 in $114
= 114 ÷ 30
= 3 r 24

Discounted price of the cardigan at Boutique P
= 3 x 24 + 24
= $96

Discount given for the cardigan at Boutique P
= 114 - 96
= $18

Percent discount given to the cardigan at Boutique P
= 100% x ¹⁸₁₁₄ 
≈ 15.8%

Answer(s): (a) $21.50; (b) $210; (c) 15.8%