PSLE
Mrs Vaidev bought a dress and a necklace at a discount. She spent a total of $75.60 on these two items. She spent $43.40 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 $32.40. She was given a 30% 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 + 43.40

Total amount spent on the dress and the necklace
= 1 u + 1 u + 43.40
= 2 u + 43.40

2 u + 43.40 = 75.60
2 u = 75.60 - 43.40
2 u = 32.20

1 u = 32.20 ÷ 2 = 16.10

Amount that Mrs Vaidev spent on the necklace
= 16.10 + 43.40
= $59.50

(b)

	Dress	Necklace	Total
Original price	100%	$85
Discount	30%  $6.90	$25.50	$32.40
Discounted price	70% $16.10	$59.50	$75.60

Discounted price of the dress
= 100% - 30%
= 70%

70% of the price of the dress = 16.10
1% of the price of the dress = 16.10 ÷ 70
30% of the price of the dress = 16.10 ÷ 70 x 30 = 6.90

Discount given for the necklace
= 32.40 - 6.90
= $25.50

Original price of the necklace
= 59.50 + 25.50
= $85

Percentage discount of the necklace
= ^25.50₈₅ x 100%
= 30%

Answer(s): (a) $59.50; (b) 30%