During a promotion, the discount given by Shop P and Shop Q are as shown:
Shop P - Discount of $10 for every $50 spent
Shop Q - 25% off Storewide

1. Diana wants to buy a coat. The price of the coat before discount in both shops is $230. What is the savings that Diana makes if she buys at the shop that sells the same coat cheaper?
2. Xylia bought a shirt and a cardigan from Shop P and paid $320. What was the total cost of the shirt and the cardigan before the discount?
3. The price of the same cardigan after discount at Shop Q is $106.50. Given that the price of the cardigan before discount is the same in both shops, what is the percentage discount given to the cardigan at Shop P? Round off the answer to 1 decimal place.

(a)
Amount to pay at Shop P for every $50 spent
= 50 - 10
= $40

Number of sets of $50 in $230
= 230 ÷ 50
= 4 r 30

Discounted price of the coat at Shop P
= 4 x 40 + 30
= $190

Discounted price of the coat at Shop Q
= 75% x 230 
= ⁷⁵₁₀₀ x 230 
= $172.50

Amount of savings
= 190 - 172.50
= $17.50

(b)
Number of sets of $40 in $320
= 320 ÷ 40
= 8

Total cost of the shirt and the cardigan
= 8 x 50
= $400

(c)

	Shop P	Shop Q
Original Price	$142	$142
Discount	- $20	- 25%
Discounted Price	$122	$106.50

Original price of the cardigan at Shop Q before discount
= 106.50 ÷ ⁷⁵₁₀₀
= $142

If the original price of the cardigan at Shop P and Shop Q is the same, the original price of the cardigan at Shop P is $142.

Number of sets of $50 in $142
= 142 ÷ 50
= 2 r 42

Discounted price of the cardigan at Shop P
= 2 x 40 + 42
= $122

Discount given for the cardigan at Shop P
= 142 - 122
= $20

Percent discount given to the cardigan at Shop P
= 100% x ²⁰₁₄₂ 
≈ 14.1%

Answer(s): (a) $17.50; (b) $400; (c) 14.1%