PSLE
Mrs Rael bought a jacket and a ring at a discount. She spent a total of $70.70 on these two items. She spent $48.30 more on the ring than on the jacket.

1. How much did she spend on the ring?
2. The total discount given for the two items was $28.30. She was given a 20% discount for the jacket. What was the percentage discount given for the ring?

(a)
Amount spent on the jacket = 1 u
Amount spent on the ring = 1 u + 48.30

Total amount spent on the jacket and the ring
= 1 u + 1 u + 48.30
= 2 u + 48.30

2 u + 48.30 = 70.70
2 u = 70.70 - 48.30
2 u = 22.40

1 u = 22.40 ÷ 2 = 11.20

Amount that Mrs Rael spent on the ring
= 11.20 + 48.30
= $59.50

(b)

	Jacket	Ring	Total
Original price	100%	$85
Discount	20%  $2.80	$25.50	$28.30
Discounted price	80% $11.20	$59.50	$70.70

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

80% of the price of the jacket = 11.20
1% of the price of the jacket = 11.20 ÷ 80
20% of the price of the jacket = 11.20 ÷ 80 x 20 = 2.80

Discount given for the ring
= 28.30 - 2.80
= $25.50

Original price of the ring
= 59.50 + 25.50
= $85

Percentage discount of the ring
= ^25.50₈₅ x 100%
= 30%

Answer(s): (a) $59.50; (b) 30%