A furniture store was having Mother's Day discount of 15% off its usual price. The GST is at 9%. Sarah used her credit card to purchase a sofa set and Reggie 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 Reggie pay in the end after GST? Round off your answer to the nearest ten cent.
New sofa set Usual Price: $2900 |
Further Discount: Pay by credit card: 10% off discounted price before GST!
Pay by cash: $80 off discounted price before GST! |
|
Credit Card |
Cash |
Usual Price |
$2900 |
$2900 |
Less 15% discount |
- $435.00 |
- $435.00 |
Price after 15% discount |
$2465.00 |
$2465.00 |
Less further discount |
- $246.50 |
- $80 |
Price after further discount |
$2218.50 |
$2385.00 |
Price after GST of 9% |
$2418.17 |
$2599.70 |
(a)
New selling price after 15% discount
= 100% - 15%
= 85%
Price of the sofa set after Mother's Day discount
= 85% x 2900
=
90100 x 2900
= $2465.00
New selling price after 10% further discount
= 100% - 10%
= 90%
Price of the sofa set after credit card discount
= 90% x 2465.00
=
90100 x 2465.00
= $2218.50
Price to pay after including GST
= 100% + 9%
= 109%
Price of the sofa set after GST
= 109% x 2218.50
=
109100 x 2218.50
≈ $2418.17 (Round off to nearest cent)
(b)
Price of the sofa set after cash discount
= 2465.00 - 80
= $2385.00
Price of the sofa set after GST
= 109% x 2385.00
=
109100 x 2385.00
≈ $2599.70 (Round off to nearest ten cent)
Answer(s): (a) $2418.17; (b) $2599.70