PSLE
Mrs Archie bought a coat and a necklace at a discount. She spent a total of $85.50 on these two items. She spent $51.30 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 $9.50. She was given a 10% 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 + 51.30

Total amount spent on the coat and the necklace
= 1 u + 1 u + 51.30
= 2 u + 51.30

2 u + 51.30 = 85.50
2 u = 85.50 - 51.30
2 u = 34.20

1 u = 34.20 ÷ 2 = 17.10

Amount that Mrs Archie spent on the necklace
= 17.10 + 51.30
= $68.40

(b)

	Coat	Necklace	Total
Original price	100%	$76
Discount	10%  $1.90	$7.60	$9.50
Discounted price	90% $17.10	$68.40	$85.50

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

90% of the price of the coat = 17.10
1% of the price of the coat = 17.10 ÷ 90
10% of the price of the coat = 17.10 ÷ 90 x 10 = 1.90

Discount given for the necklace
= 9.50 - 1.90
= $7.60

Original price of the necklace
= 68.40 + 7.60
= $76

Percentage discount of the necklace
= ^7.60₇₆ x 100%
= 10%

Answer(s): (a) $68.40; (b) 10%