PSLE
Mrs Simon bought a shirt and a necklace at a discount. She spent a total of $92.60 on these two items. She spent $47.80 more on the necklace than on the shirt.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $17.40. She was given a 30% discount for the shirt. What was the percentage discount given for the necklace?

(a)
Amount spent on the shirt = 1 u
Amount spent on the necklace = 1 u + 47.80

Total amount spent on the shirt and the necklace
= 1 u + 1 u + 47.80
= 2 u + 47.80

2 u + 47.80 = 92.60
2 u = 92.60 - 47.80
2 u = 44.80

1 u = 44.80 ÷ 2 = 22.40

Amount that Mrs Simon spent on the necklace
= 22.40 + 47.80
= $70.20

(b)

	Shirt	Necklace	Total
Original price	100%	$78
Discount	30%  $9.60	$7.80	$17.40
Discounted price	70% $22.40	$70.20	$92.60

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

70% of the price of the shirt = 22.40
1% of the price of the shirt = 22.40 ÷ 70
30% of the price of the shirt = 22.40 ÷ 70 x 30 = 9.60

Discount given for the necklace
= 17.40 - 9.60
= $7.80

Original price of the necklace
= 70.20 + 7.80
= $78

Percentage discount of the necklace
= ^7.80₇₈ x 100%
= 10%

Answer(s): (a) $70.20; (b) 10%