A furniture store was having Christmas discount of 10% off its usual price. The GST is at 6%. Hilda used her credit card to purchase a sofa bed and Paul used cash to pay for a similar sofa bed.
- How much did Hilda pay in the end after GST? Round off your answer to the nearest cent.
- How much did Paul pay in the end after GST? Round off your answer to the nearest ten cent.
New sofa bed Usual Price: $240 |
Further Discount: Pay by credit card: 15% off discounted price before GST!
Pay by cash: $95 off discounted price before GST! |
|
Credit Card |
Cash |
Usual Price |
$240 |
$240 |
Less 10% discount |
- $24.00 |
- $24.00 |
Price after 10% discount |
$216.00 |
$216.00 |
Less further discount |
- $32.40 |
- $95 |
Price after further discount |
$183.60 |
$121.00 |
Price after GST of 6% |
$194.62 |
$128.30 |
(a)
New selling price after 10% discount
= 100% - 10%
= 90%
Price of the sofa bed after Christmas discount
= 90% x 240
=
85100 x 240
= $216.00
New selling price after 15% further discount
= 100% - 15%
= 85%
Price of the sofa bed after credit card discount
= 85% x 216.00
=
85100 x 216.00
= $183.60
Price to pay after including GST
= 100% + 6%
= 106%
Price of the sofa bed after GST
= 106% x 183.60
=
106100 x 183.60
≈ $194.62 (Round off to nearest cent)
(b)
Price of the sofa bed after cash discount
= 216.00 - 95
= $121.00
Price of the sofa bed after GST
= 106% x 121.00
=
106100 x 121.00
≈ $128.30 (Round off to nearest ten cent)
Answer(s): (a) $194.62; (b) $128.30