PSLE
Mrs Cole bought a shirt and a necklace at a discount. She spent a total of $73.60 on these two items. She spent $52.80 more on the necklace than on the shirt.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $18.40. She was given a 20% discount for the shirt. What was the percentage discount given for the necklace?

(a)
Amount spent on the shirt = 1 u
Amount spent on the necklace = 1 u + 52.80

Total amount spent on the shirt and the necklace
= 1 u + 1 u + 52.80
= 2 u + 52.80

2 u + 52.80 = 73.60
2 u = 73.60 - 52.80
2 u = 20.80

1 u = 20.80 ÷ 2 = 10.40

Amount that Mrs Cole spent on the necklace
= 10.40 + 52.80
= $63.20

(b)

	Shirt	Necklace	Total
Original price	100%	$79
Discount	20%  $2.60	$15.80	$18.40
Discounted price	80% $10.40	$63.20	$73.60

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

80% of the price of the shirt = 10.40
1% of the price of the shirt = 10.40 ÷ 80
20% of the price of the shirt = 10.40 ÷ 80 x 20 = 2.60

Discount given for the necklace
= 18.40 - 2.60
= $15.80

Original price of the necklace
= 63.20 + 15.80
= $79

Percentage discount of the necklace
= ^15.80₇₉ x 100%
= 20%

Answer(s): (a) $63.20; (b) 20%