PSLE
Mrs Jeremy bought a jumpsuit and a necklace at a discount. She spent a total of $89.10 on these two items. She spent $20.70 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 $9.90. She was given a 10% 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 + 20.70

Total amount spent on the jumpsuit and the necklace
= 1 u + 1 u + 20.70
= 2 u + 20.70

2 u + 20.70 = 89.10
2 u = 89.10 - 20.70
2 u = 68.40

1 u = 68.40 ÷ 2 = 34.20

Amount that Mrs Jeremy spent on the necklace
= 34.20 + 20.70
= $54.90

(b)

	Jumpsuit	Necklace	Total
Original price	100%	$61
Discount	10%  $3.80	$6.10	$9.90
Discounted price	90% $34.20	$54.90	$89.10

Discounted price of the jumpsuit
= 100% - 10%
= 90%

90% of the price of the jumpsuit = 34.20
1% of the price of the jumpsuit = 34.20 ÷ 90
10% of the price of the jumpsuit = 34.20 ÷ 90 x 10 = 3.80

Discount given for the necklace
= 9.90 - 3.80
= $6.10

Original price of the necklace
= 54.90 + 6.10
= $61

Percentage discount of the necklace
= ^6.10₆₁ x 100%
= 10%

Answer(s): (a) $54.90; (b) 10%