A furniture store was having Chinese New Year discount of 30% off its usual price. The GST is at 7%. Xylia used her credit card to purchase a study table and Ethan used cash to pay for a similar study table.

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

New study table Usual Price: $260

Further Discount: Pay by credit card: 15% off discounted price before GST! Pay by cash: $90 off discounted price before GST!

	Credit Card	Cash
Usual Price	$260	$260
Less 30% discount	- $78.00	- $78.00
Price after 30% discount	$182.00	$182.00
Less further discount	- $27.30	- $90
Price after further discount	$154.70	$92.00
Price after GST of 7%	$165.53	$98.40

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

Price of the study table after Chinese New Year discount
= 70% x 260
= ⁸⁵₁₀₀ x 260
= $182.00

New selling price after 15% further discount
= 100% - 15%
= 85%

Price of the study table after credit card discount
= 85% x 182.00
= ⁸⁵₁₀₀ x 182.00
= $154.70

Price to pay after including GST
= 100% + 7%
= 107%

Price of the study table after GST
= 107% x 154.70 
= ¹⁰⁷₁₀₀ x 154.70 
≈ $165.53 (Round off to nearest cent)

(b)
Price of the study table after cash discount
= 182.00 - 90
= $92.00

Price of the study table after GST
= 107% x 92.00 
= ¹⁰⁷₁₀₀ x 92.00 
≈ $98.40 (Round off to nearest ten cent)

Answer(s): (a) $165.53; (b) $98.40