PSLE
Mrs Pierre bought a jumpsuit and a necklace at a discount. She spent a total of $55.20 on these two items. She spent $20.40 more on the necklace than on the jumpsuit.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $27.80. She was given a 40% discount for the jumpsuit. What was the percentage discount given for the necklace?

(a)
Amount spent on the jumpsuit = 1 u
Amount spent on the necklace = 1 u + 20.40

Total amount spent on the jumpsuit and the necklace
= 1 u + 1 u + 20.40
= 2 u + 20.40

2 u + 20.40 = 55.20
2 u = 55.20 - 20.40
2 u = 34.80

1 u = 34.80 ÷ 2 = 17.40

Amount that Mrs Pierre spent on the necklace
= 17.40 + 20.40
= $37.80

(b)

	Jumpsuit	Necklace	Total
Original price	100%	$54
Discount	40%  $11.60	$16.20	$27.80
Discounted price	60% $17.40	$37.80	$55.20

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

60% of the price of the jumpsuit = 17.40
1% of the price of the jumpsuit = 17.40 ÷ 60
40% of the price of the jumpsuit = 17.40 ÷ 60 x 40 = 11.60

Discount given for the necklace
= 27.80 - 11.60
= $16.20

Original price of the necklace
= 37.80 + 16.20
= $54

Percentage discount of the necklace
= ^16.20₅₄ x 100%
= 30%

Answer(s): (a) $37.80; (b) 30%