PSLE
Mrs Mark bought a sweater and a necklace at a discount. She spent a total of $89.10 on these two items. She spent $31.50 more on the necklace than on the sweater.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $13.90. She was given a 20% discount for the sweater. What was the percentage discount given for the necklace?

(a)
Amount spent on the sweater = 1 u
Amount spent on the necklace = 1 u + 31.50

Total amount spent on the sweater and the necklace
= 1 u + 1 u + 31.50
= 2 u + 31.50

2 u + 31.50 = 89.10
2 u = 89.10 - 31.50
2 u = 57.60

1 u = 57.60 ÷ 2 = 28.80

Amount that Mrs Mark spent on the necklace
= 28.80 + 31.50
= $60.30

(b)

	Sweater	Necklace	Total
Original price	100%	$67
Discount	20%  $7.20	$6.70	$13.90
Discounted price	80% $28.80	$60.30	$89.10

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

80% of the price of the sweater = 28.80
1% of the price of the sweater = 28.80 ÷ 80
20% of the price of the sweater = 28.80 ÷ 80 x 20 = 7.20

Discount given for the necklace
= 13.90 - 7.20
= $6.70

Original price of the necklace
= 60.30 + 6.70
= $67

Percentage discount of the necklace
= ^6.70₆₇ x 100%
= 10%

Answer(s): (a) $60.30; (b) 10%