During a sale, the discount given by Shop M and Shop N are as shown:
Shop M - Discount of $5 for every $25 spent
Shop N - 25% off Storewide

1. Erika wants to buy a dress. The price of the dress before discount in both shops is $330. What is the savings that Erika makes if she buys at the shop that sells the same dress cheaper?
2. Xandra bought a jacket and a sweater from Shop M and paid $60. What was the total cost of the jacket and the sweater before the discount?
3. The price of the same sweater after discount at Shop N is $100.50. Given that the price of the sweater before discount is the same in both shops, what is the percentage discount given to the sweater at Shop M? Round off the answer to 1 decimal place.

(a)
Amount to pay at Shop M for every $25 spent
= 25 - 5
= $20

Number of sets of $25 in $330
= 330 ÷ 25
= 13 r 5

Discounted price of the dress at Shop M
= 13 x 20 + 5
= $265

Discounted price of the dress at Shop N
= 75% x 330 
= ⁷⁵₁₀₀ x 330 
= $247.50

Amount of savings
= 265 - 247.50
= $17.50

(b)
Number of sets of $20 in $60
= 60 ÷ 20
= 3

Total cost of the jacket and the sweater
= 3 x 25
= $75

(c)

	Shop M	Shop N
Original Price	$134	$134
Discount	- $25	- 25%
Discounted Price	$109	$100.50

Original price of the sweater at Shop N before discount
= 100.50 ÷ ⁷⁵₁₀₀
= $134

If the original price of the sweater at Shop M and Shop N is the same, the original price of the sweater at Shop M is $134.

Number of sets of $25 in $134
= 134 ÷ 25
= 5 r 9

Discounted price of the sweater at Shop M
= 5 x 20 + 9
= $109

Discount given for the sweater at Shop M
= 134 - 109
= $25

Percent discount given to the sweater at Shop M
= 100% x ²⁵₁₃₄ 
≈ 18.7%

Answer(s): (a) $17.50; (b) $75; (c) 18.7%