PSLE
Mrs Henry bought a skirt and a necklace at a discount. She spent a total of $60.80 on these two items. She spent $33.60 more on the necklace than on the skirt.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $15.20. She was given a 20% discount for the skirt. What was the percentage discount given for the necklace?

(a)
Amount spent on the skirt = 1 u
Amount spent on the necklace = 1 u + 33.60

Total amount spent on the skirt and the necklace
= 1 u + 1 u + 33.60
= 2 u + 33.60

2 u + 33.60 = 60.80
2 u = 60.80 - 33.60
2 u = 27.20

1 u = 27.20 ÷ 2 = 13.60

Amount that Mrs Henry spent on the necklace
= 13.60 + 33.60
= $47.20

(b)

	Skirt	Necklace	Total
Original price	100%	$59
Discount	20%  $3.40	$11.80	$15.20
Discounted price	80% $13.60	$47.20	$60.80

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

80% of the price of the skirt = 13.60
1% of the price of the skirt = 13.60 ÷ 80
20% of the price of the skirt = 13.60 ÷ 80 x 20 = 3.40

Discount given for the necklace
= 15.20 - 3.40
= $11.80

Original price of the necklace
= 47.20 + 11.80
= $59

Percentage discount of the necklace
= ^11.80₅₉ x 100%
= 20%

Answer(s): (a) $47.20; (b) 20%