PSLE
Mrs Sam bought a shirt and a ring at a discount. She spent a total of $67.20 on these two items. She spent $46.40 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 $16.80. She was given a 20% 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 + 46.40

Total amount spent on the shirt and the ring
= 1 u + 1 u + 46.40
= 2 u + 46.40

2 u + 46.40 = 67.20
2 u = 67.20 - 46.40
2 u = 20.80

1 u = 20.80 ÷ 2 = 10.40

Amount that Mrs Sam spent on the ring
= 10.40 + 46.40
= $56.80

(b)

	Shirt	Ring	Total
Original price	100%	$71
Discount	20%  $2.60	$14.20	$16.80
Discounted price	80% $10.40	$56.80	$67.20

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

80% of the price of the shirt = 10.40
1% of the price of the shirt = 10.40 ÷ 80
20% of the price of the shirt = 10.40 ÷ 80 x 20 = 2.60

Discount given for the ring
= 16.80 - 2.60
= $14.20

Original price of the ring
= 56.80 + 14.20
= $71

Percentage discount of the ring
= ^14.20₇₁ x 100%
= 20%

Answer(s): (a) $56.80; (b) 20%