A furniture store was having Chinese New Year discount of 25% off its usual price. The GST is at 6%. Sarah used her credit card to purchase a sofa set and Billy used cash to pay for a similar sofa set.
- How much did Sarah pay in the end after GST? Round off your answer to the nearest cent.
- How much did Billy pay in the end after GST? Round off your answer to the nearest ten cent.
New sofa set Usual Price: $400 |
Further Discount: Pay by credit card: 5% off discounted price before GST!
Pay by cash: $55 off discounted price before GST! |
|
Credit Card |
Cash |
Usual Price |
$400 |
$400 |
Less 25% discount |
- $100.00 |
- $100.00 |
Price after 25% discount |
$300.00 |
$300.00 |
Less further discount |
- $15.00 |
- $55 |
Price after further discount |
$285.00 |
$245.00 |
Price after GST of 6% |
$302.10 |
$259.70 |
(a)
New selling price after 25% discount
= 100% - 25%
= 75%
Price of the sofa set after Chinese New Year discount
= 75% x 400
=
95100 x 400
= $300.00
New selling price after 5% further discount
= 100% - 5%
= 95%
Price of the sofa set after credit card discount
= 95% x 300.00
=
95100 x 300.00
= $285.00
Price to pay after including GST
= 100% + 6%
= 106%
Price of the sofa set after GST
= 106% x 285.00
=
106100 x 285.00
≈ $302.10 (Round off to nearest cent)
(b)
Price of the sofa set after cash discount
= 300.00 - 55
= $245.00
Price of the sofa set after GST
= 106% x 245.00
=
106100 x 245.00
≈ $259.70 (Round off to nearest ten cent)
Answer(s): (a) $302.10; (b) $259.70