A furniture store was having Valentine's Day discount of 30% off its usual price. The GST is at 9%. Emma used her credit card to purchase a breakfast hutch and Albert used cash to pay for a similar breakfast hutch.

1. How much did Emma pay in the end after GST? Round off your answer to the nearest cent.
2. How much did Albert pay in the end after GST? Round off your answer to the nearest ten cent.

New breakfast hutch Usual Price: $1400

Further Discount: Pay by credit card: 5% off discounted price before GST! Pay by cash: $5 off discounted price before GST!

	Credit Card	Cash
Usual Price	$1400	$1400
Less 30% discount	- $420.00	- $420.00
Price after 30% discount	$980.00	$980.00
Less further discount	- $49.00	- $5
Price after further discount	$931.00	$975.00
Price after GST of 9%	$1014.79	$1062.80

(a)
New selling price after 30% discount
= 100% - 30%
= 70%

Price of the breakfast hutch after Valentine's Day discount
= 70% x 1400
= ⁹⁵₁₀₀ x 1400
= $980.00

New selling price after 5% further discount
= 100% - 5%
= 95%

Price of the breakfast hutch after credit card discount
= 95% x 980.00
= ⁹⁵₁₀₀ x 980.00
= $931.00

Price to pay after including GST
= 100% + 9%
= 109%

Price of the breakfast hutch after GST
= 109% x 931.00 
= ¹⁰⁹₁₀₀ x 931.00 
≈ $1014.79 (Round off to nearest cent)

(b)
Price of the breakfast hutch after cash discount
= 980.00 - 5
= $975.00

Price of the breakfast hutch after GST
= 109% x 975.00 
= ¹⁰⁹₁₀₀ x 975.00 
≈ $1062.80 (Round off to nearest ten cent)

Answer(s): (a) $1014.79; (b) $1062.80