PSLE
Mrs Riordan bought a skirt and a necklace at a discount. She spent a total of $86.10 on these two items. She spent $37.10 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 $25.90. She was given a 30% 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 + 37.10

Total amount spent on the skirt and the necklace
= 1 u + 1 u + 37.10
= 2 u + 37.10

2 u + 37.10 = 86.10
2 u = 86.10 - 37.10
2 u = 49.00

1 u = 49.00 ÷ 2 = 24.50

Amount that Mrs Riordan spent on the necklace
= 24.50 + 37.10
= $61.60

(b)

	Skirt	Necklace	Total
Original price	100%	$77
Discount	30%  $10.50	$15.40	$25.90
Discounted price	70% $24.50	$61.60	$86.10

Discounted price of the skirt
= 100% - 30%
= 70%

70% of the price of the skirt = 24.50
1% of the price of the skirt = 24.50 ÷ 70
30% of the price of the skirt = 24.50 ÷ 70 x 30 = 10.50

Discount given for the necklace
= 25.90 - 10.50
= $15.40

Original price of the necklace
= 61.60 + 15.40
= $77

Percentage discount of the necklace
= ^15.40₇₇ x 100%
= 20%

Answer(s): (a) $61.60; (b) 20%