PSLE
Mrs Caden bought a shirt and a ring at a discount. She spent a total of $59.50 on these two items. She spent $34.30 more on the ring than on the shirt.

1. How much did she spend on the ring?
2. The total discount given for the two items was $21.50. She was given a 10% discount for the shirt. What was the percentage discount given for the ring?

(a)
Amount spent on the shirt = 1 u
Amount spent on the ring = 1 u + 34.30

Total amount spent on the shirt and the ring
= 1 u + 1 u + 34.30
= 2 u + 34.30

2 u + 34.30 = 59.50
2 u = 59.50 - 34.30
2 u = 25.20

1 u = 25.20 ÷ 2 = 12.60

Amount that Mrs Caden spent on the ring
= 12.60 + 34.30
= $46.90

(b)

	Shirt	Ring	Total
Original price	100%	$67
Discount	10%  $1.40	$20.10	$21.50
Discounted price	90% $12.60	$46.90	$59.50

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

90% of the price of the shirt = 12.60
1% of the price of the shirt = 12.60 ÷ 90
10% of the price of the shirt = 12.60 ÷ 90 x 10 = 1.40

Discount given for the ring
= 21.50 - 1.40
= $20.10

Original price of the ring
= 46.90 + 20.10
= $67

Percentage discount of the ring
= ^20.10₆₇ x 100%
= 30%

Answer(s): (a) $46.90; (b) 30%