A furniture store was having Valentine's Day discount of 15% off its usual price. The GST is at 4%. Anna used her credit card to purchase a dining table and Daniel used cash to pay for a similar dining table.

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

New dining table Usual Price: $460

Further Discount: Pay by credit card: 5% off discounted price before GST! Pay by cash: $75 off discounted price before GST!

	Credit Card	Cash
Usual Price	$460	$460
Less 15% discount	- $69.00	- $69.00
Price after 15% discount	$391.00	$391.00
Less further discount	- $19.55	- $75
Price after further discount	$371.45	$316.00
Price after GST of 4%	$386.31	$328.60

(a)
New selling price after 15% discount
= 100% - 15%
= 85%

Price of the dining table after Valentine's Day discount
= 85% x 460
= ⁹⁵₁₀₀ x 460
= $391.00

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

Price of the dining table after credit card discount
= 95% x 391.00
= ⁹⁵₁₀₀ x 391.00
= $371.45

Price to pay after including GST
= 100% + 4%
= 104%

Price of the dining table after GST
= 104% x 371.45 
= ¹⁰⁴₁₀₀ x 371.45 
≈ $386.31 (Round off to nearest cent)

(b)
Price of the dining table after cash discount
= 391.00 - 75
= $316.00

Price of the dining table after GST
= 104% x 316.00 
= ¹⁰⁴₁₀₀ x 316.00 
≈ $328.60 (Round off to nearest ten cent)

Answer(s): (a) $386.31; (b) $328.60