PSLE
Mrs Ryan bought a coat and a necklace at a discount. She spent a total of $90.40 on these two items. She spent $31.20 more on the necklace than on the coat.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $22.60. She was given a 20% discount for the coat. What was the percentage discount given for the necklace?

(a)
Amount spent on the coat = 1 u
Amount spent on the necklace = 1 u + 31.20

Total amount spent on the coat and the necklace
= 1 u + 1 u + 31.20
= 2 u + 31.20

2 u + 31.20 = 90.40
2 u = 90.40 - 31.20
2 u = 59.20

1 u = 59.20 ÷ 2 = 29.60

Amount that Mrs Ryan spent on the necklace
= 29.60 + 31.20
= $60.80

(b)

	Coat	Necklace	Total
Original price	100%	$76
Discount	20%  $7.40	$15.20	$22.60
Discounted price	80% $29.60	$60.80	$90.40

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

80% of the price of the coat = 29.60
1% of the price of the coat = 29.60 ÷ 80
20% of the price of the coat = 29.60 ÷ 80 x 20 = 7.40

Discount given for the necklace
= 22.60 - 7.40
= $15.20

Original price of the necklace
= 60.80 + 15.20
= $76

Percentage discount of the necklace
= ^15.20₇₆ x 100%
= 20%

Answer(s): (a) $60.80; (b) 20%