A furniture store was having Mid Year discount of 10% off its usual price. The GST is at 5%. Joelle used her credit card to purchase a dining table and Owen used cash to pay for a similar dining table.

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

New dining table Usual Price: $1120

Further Discount: Pay by credit card: 5% off discounted price before GST! Pay by cash: $60 off discounted price before GST!

	Credit Card	Cash
Usual Price	$1120	$1120
Less 10% discount	- $112.00	- $112.00
Price after 10% discount	$1008.00	$1008.00
Less further discount	- $50.40	- $60
Price after further discount	$957.60	$948.00
Price after GST of 5%	$1005.48	$995.40

(a)
New selling price after 10% discount
= 100% - 10%
= 90%

Price of the dining table after Mid Year discount
= 90% x 1120
= ⁹⁵₁₀₀ x 1120
= $1008.00

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

Price of the dining table after credit card discount
= 95% x 1008.00
= ⁹⁵₁₀₀ x 1008.00
= $957.60

Price to pay after including GST
= 100% + 5%
= 105%

Price of the dining table after GST
= 105% x 957.60 
= ¹⁰⁵₁₀₀ x 957.60 
≈ $1005.48 (Round off to nearest cent)

(b)
Price of the dining table after cash discount
= 1008.00 - 60
= $948.00

Price of the dining table after GST
= 105% x 948.00 
= ¹⁰⁵₁₀₀ x 948.00 
≈ $995.40 (Round off to nearest ten cent)

Answer(s): (a) $1005.48; (b) $995.40