PSLE
Mrs Asher bought a jacket and a necklace at a discount. She spent a total of $65.80 on these two items. She spent $33.40 more on the necklace than on the jacket.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $23.20. She was given a 40% discount for the jacket. What was the percentage discount given for the necklace?

(a)
Amount spent on the jacket = 1 u
Amount spent on the necklace = 1 u + 33.40

Total amount spent on the jacket and the necklace
= 1 u + 1 u + 33.40
= 2 u + 33.40

2 u + 33.40 = 65.80
2 u = 65.80 - 33.40
2 u = 32.40

1 u = 32.40 ÷ 2 = 16.20

Amount that Mrs Asher spent on the necklace
= 16.20 + 33.40
= $49.60

(b)

	Jacket	Necklace	Total
Original price	100%	$62
Discount	40%  $10.80	$12.40	$23.20
Discounted price	60% $16.20	$49.60	$65.80

Discounted price of the jacket
= 100% - 40%
= 60%

60% of the price of the jacket = 16.20
1% of the price of the jacket = 16.20 ÷ 60
40% of the price of the jacket = 16.20 ÷ 60 x 40 = 10.80

Discount given for the necklace
= 23.20 - 10.80
= $12.40

Original price of the necklace
= 49.60 + 12.40
= $62

Percentage discount of the necklace
= ^12.40₆₂ x 100%
= 20%

Answer(s): (a) $49.60; (b) 20%