A furniture store was having Mother's Day discount of 15% off its usual price. The GST is at 3%. Anna used her credit card to purchase a sofa bed and Ethan used cash to pay for a similar sofa bed.

1. How much did Anna 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 sofa bed Usual Price: $2700

Further Discount: Pay by credit card: 10% off discounted price before GST! Pay by cash: $5 off discounted price before GST!

	Credit Card	Cash
Usual Price	$2700	$2700
Less 15% discount	- $405.00	- $405.00
Price after 15% discount	$2295.00	$2295.00
Less further discount	- $229.50	- $5
Price after further discount	$2065.50	$2290.00
Price after GST of 3%	$2127.47	$2358.70

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

Price of the sofa bed after Mother's Day discount
= 85% x 2700
= ⁹⁰₁₀₀ x 2700
= $2295.00

New selling price after 10% further discount
= 100% - 10%
= 90%

Price of the sofa bed after credit card discount
= 90% x 2295.00
= ⁹⁰₁₀₀ x 2295.00
= $2065.50

Price to pay after including GST
= 100% + 3%
= 103%

Price of the sofa bed after GST
= 103% x 2065.50 
= ¹⁰³₁₀₀ x 2065.50 
≈ $2127.47 (Round off to nearest cent)

(b)
Price of the sofa bed after cash discount
= 2295.00 - 5
= $2290.00

Price of the sofa bed after GST
= 103% x 2290.00 
= ¹⁰³₁₀₀ x 2290.00 
≈ $2358.70 (Round off to nearest ten cent)

Answer(s): (a) $2127.47; (b) $2358.70