PSLE
Mrs Zane bought a jacket and a ring at a discount. She spent a total of $83.50 on these two items. She spent $54.10 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 $23.50. She was given a 30% 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 + 54.10

Total amount spent on the jacket and the ring
= 1 u + 1 u + 54.10
= 2 u + 54.10

2 u + 54.10 = 83.50
2 u = 83.50 - 54.10
2 u = 29.40

1 u = 29.40 ÷ 2 = 14.70

Amount that Mrs Zane spent on the ring
= 14.70 + 54.10
= $68.80

(b)

	Jacket	Ring	Total
Original price	100%	$86
Discount	30%  $6.30	$17.20	$23.50
Discounted price	70% $14.70	$68.80	$83.50

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

70% of the price of the jacket = 14.70
1% of the price of the jacket = 14.70 ÷ 70
30% of the price of the jacket = 14.70 ÷ 70 x 30 = 6.30

Discount given for the ring
= 23.50 - 6.30
= $17.20

Original price of the ring
= 68.80 + 17.20
= $86

Percentage discount of the ring
= ^17.20₈₆ x 100%
= 20%

Answer(s): (a) $68.80; (b) 20%