PSLE
Mrs Sean bought a blazer and a necklace at a discount. She spent a total of $92.70 on these two items. She spent $65.70 more on the necklace than on the blazer.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $10.30. She was given a 10% discount for the blazer. What was the percentage discount given for the necklace?

(a)
Amount spent on the blazer = 1 u
Amount spent on the necklace = 1 u + 65.70

Total amount spent on the blazer and the necklace
= 1 u + 1 u + 65.70
= 2 u + 65.70

2 u + 65.70 = 92.70
2 u = 92.70 - 65.70
2 u = 27.00

1 u = 27.00 ÷ 2 = 13.50

Amount that Mrs Sean spent on the necklace
= 13.50 + 65.70
= $79.20

(b)

	Blazer	Necklace	Total
Original price	100%	$88
Discount	10%  $1.50	$8.80	$10.30
Discounted price	90% $13.50	$79.20	$92.70

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

90% of the price of the blazer = 13.50
1% of the price of the blazer = 13.50 ÷ 90
10% of the price of the blazer = 13.50 ÷ 90 x 10 = 1.50

Discount given for the necklace
= 10.30 - 1.50
= $8.80

Original price of the necklace
= 79.20 + 8.80
= $88

Percentage discount of the necklace
= ^8.80₈₈ x 100%
= 10%

Answer(s): (a) $79.20; (b) 10%