A furniture store was having Christmas discount of 10% off its usual price. The GST is at 5%. Julie used her credit card to purchase a book shelf and Zeph used cash to pay for a similar book shelf.
- How much did Julie pay in the end after GST? Round off your answer to the nearest cent.
- How much did Zeph pay in the end after GST? Round off your answer to the nearest ten cent.
New book shelf Usual Price: $3000 |
Further Discount: Pay by credit card: 5% off discounted price before GST!
Pay by cash: $10 off discounted price before GST! |
|
Credit Card |
Cash |
Usual Price |
$3000 |
$3000 |
Less 10% discount |
- $300.00 |
- $300.00 |
Price after 10% discount |
$2700.00 |
$2700.00 |
Less further discount |
- $135.00 |
- $10 |
Price after further discount |
$2565.00 |
$2690.00 |
Price after GST of 5% |
$2693.25 |
$2824.50 |
(a)
New selling price after 10% discount
= 100% - 10%
= 90%
Price of the book shelf after Christmas discount
= 90% x 3000
=
95100 x 3000
= $2700.00
New selling price after 5% further discount
= 100% - 5%
= 95%
Price of the book shelf after credit card discount
= 95% x 2700.00
=
95100 x 2700.00
= $2565.00
Price to pay after including GST
= 100% + 5%
= 105%
Price of the book shelf after GST
= 105% x 2565.00
=
105100 x 2565.00
≈ $2693.25 (Round off to nearest cent)
(b)
Price of the book shelf after cash discount
= 2700.00 - 10
= $2690.00
Price of the book shelf after GST
= 105% x 2690.00
=
105100 x 2690.00
≈ $2824.50 (Round off to nearest ten cent)
Answer(s): (a) $2693.25; (b) $2824.50