A furniture store was having Easter discount of 25% off its usual price. The GST is at 9%. Sabrina used her credit card to purchase a sofa set and Eric used cash to pay for a similar sofa set.

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

New sofa set Usual Price: $360

Further Discount: Pay by credit card: 10% off discounted price before GST! Pay by cash: $55 off discounted price before GST!

	Credit Card	Cash
Usual Price	$360	$360
Less 25% discount	- $90.00	- $90.00
Price after 25% discount	$270.00	$270.00
Less further discount	- $27.00	- $55
Price after further discount	$243.00	$215.00
Price after GST of 9%	$264.87	$234.40

(a)
New selling price after 25% discount
= 100% - 25%
= 75%

Price of the sofa set after Easter discount
= 75% x 360
= ⁹⁰₁₀₀ x 360
= $270.00

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

Price of the sofa set after credit card discount
= 90% x 270.00
= ⁹⁰₁₀₀ x 270.00
= $243.00

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

Price of the sofa set after GST
= 109% x 243.00 
= ¹⁰⁹₁₀₀ x 243.00 
≈ $264.87 (Round off to nearest cent)

(b)
Price of the sofa set after cash discount
= 270.00 - 55
= $215.00

Price of the sofa set after GST
= 109% x 215.00 
= ¹⁰⁹₁₀₀ x 215.00 
≈ $234.40 (Round off to nearest ten cent)

Answer(s): (a) $264.87; (b) $234.40