During a sale, the discount given by Shop P and Shop Q are as shown:
Shop P - Discount of $8 for every $40 spent
Shop Q - 25% off Storewide

1. Zoe wants to buy a vest. The price of the vest before discount in both shops is $390. What is the savings that Zoe makes if she buys at the shop that sells the same vest cheaper?
2. Kylie bought a windbreaker and a skirt from Shop P and paid $288. What was the total cost of the windbreaker and the skirt before the discount?
3. The price of the same skirt after discount at Shop Q is $61.50. Given that the price of the skirt before discount is the same in both shops, what is the percentage discount given to the skirt at Shop P? Round off the answer to 1 decimal place.

(a)
Amount to pay at Shop P for every $40 spent
= 40 - 8
= $32

Number of sets of $40 in $390
= 390 ÷ 40
= 9 r 30

Discounted price of the vest at Shop P
= 9 x 32 + 30
= $318

Discounted price of the vest at Shop Q
= 75% x 390 
= ⁷⁵₁₀₀ x 390 
= $292.50

Amount of savings
= 318 - 292.50
= $25.50

(b)
Number of sets of $32 in $288
= 288 ÷ 32
= 9

Total cost of the windbreaker and the skirt
= 9 x 40
= $360

(c)

	Shop P	Shop Q
Original Price	$82	$82
Discount	- $16	- 25%
Discounted Price	$66	$61.50

Original price of the skirt at Shop Q before discount
= 61.50 ÷ ⁷⁵₁₀₀
= $82

If the original price of the skirt at Shop P and Shop Q is the same, the original price of the skirt at Shop P is $82.

Number of sets of $40 in $82
= 82 ÷ 40
= 2 r 2

Discounted price of the skirt at Shop P
= 2 x 32 + 2
= $66

Discount given for the skirt at Shop P
= 82 - 66
= $16

Percent discount given to the skirt at Shop P
= 100% x ¹⁶₈₂ 
≈ 19.5%

Answer(s): (a) $25.50; (b) $360; (c) 19.5%