PSLE
Mrs Charlie bought a dress and a necklace at a discount. She spent a total of $54.20 on these two items. She spent $28.60 more on the necklace than on the dress.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $30.80. She was given a 20% discount for the dress. What was the percentage discount given for the necklace?

(a)
Amount spent on the dress = 1 u
Amount spent on the necklace = 1 u + 28.60

Total amount spent on the dress and the necklace
= 1 u + 1 u + 28.60
= 2 u + 28.60

2 u + 28.60 = 54.20
2 u = 54.20 - 28.60
2 u = 25.60

1 u = 25.60 ÷ 2 = 12.80

Amount that Mrs Charlie spent on the necklace
= 12.80 + 28.60
= $41.40

(b)

	Dress	Necklace	Total
Original price	100%	$69
Discount	20%  $3.20	$27.60	$30.80
Discounted price	80% $12.80	$41.40	$54.20

Discounted price of the dress
= 100% - 20%
= 80%

80% of the price of the dress = 12.80
1% of the price of the dress = 12.80 ÷ 80
20% of the price of the dress = 12.80 ÷ 80 x 20 = 3.20

Discount given for the necklace
= 30.80 - 3.20
= $27.60

Original price of the necklace
= 41.40 + 27.60
= $69

Percentage discount of the necklace
= ^27.60₆₉ x 100%
= 40%

Answer(s): (a) $41.40; (b) 40%