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

1. Yoko wants to buy a shirt. The price of the shirt before discount in both shops is $410. What is the savings that Yoko makes if she buys at the shop that sells the same shirt cheaper?
2. Lynn bought a vest and a jacket from Shop N and paid $320. What was the total cost of the vest and the jacket before the discount?
3. The price of the same jacket after discount at Shop P is $73.50. Given that the price of the jacket before discount is the same in both shops, what is the percentage discount given to the jacket at Shop N? Round off the answer to 1 decimal place.

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

Number of sets of $50 in $410
= 410 ÷ 50
= 8 r 10

Discounted price of the shirt at Shop N
= 8 x 40 + 10
= $330

Discounted price of the shirt at Shop P
= 75% x 410 
= ⁷⁵₁₀₀ x 410 
= $307.50

Amount of savings
= 330 - 307.50
= $22.50

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

Total cost of the vest and the jacket
= 8 x 50
= $400

(c)

	Shop N	Shop P
Original Price	$98	$98
Discount	- $10	- 25%
Discounted Price	$88	$73.50

Original price of the jacket at Shop P before discount
= 73.50 ÷ ⁷⁵₁₀₀
= $98

If the original price of the jacket at Shop N and Shop P is the same, the original price of the jacket at Shop N is $98.

Number of sets of $50 in $98
= 98 ÷ 50
= 1 r 48

Discounted price of the jacket at Shop N
= 1 x 40 + 48
= $88

Discount given for the jacket at Shop N
= 98 - 88
= $10

Percent discount given to the jacket at Shop N
= 100% x ¹⁰₉₈ 
≈ 10.2%

Answer(s): (a) $22.50; (b) $400; (c) 10.2%