Penelope bought 2 pairs of sandals at the store and paid a total amount of $314.28 including 8% GST.
- How much did the 2 pairs of sandals cost before GST?
- The usual price for Penelope's second pair of sandals was $66 before GST. What was the usual price of her first pair of sandals before GST?
|
Member's Birthday Special
|
|
1st pair of sandals at 10% discount*
2nd pair of sandals at 40% discount*
*before GST
#2nd pair must be cheaper or equal in price.
|
| |
1st pair |
2nd pair |
Total |
| Selling price |
100% =
$250 |
100% =
$110 |
|
| Discount |
- 10% |
- 40% |
|
| Final price |
90% =
$225 |
60% =
$66 |
$291 |
Final price with
GST 8% |
$243 |
$71.28 |
$314.28 |
(a)
Total cost including GST in percentage
= 100% + 8%
= 108%
108% of the cost = 314.28
1% of the cost = 314.28 ÷ 108 = 2.91
100% of the cost = 100 x 2.91 = 291
Cost of the 2 pairs of sandals before GST = $291
(b)
Discounted price of the first pair before GST
= 291 - 66
= $225
Discounted price of the first pair before GST in percentage
= 100% - 10%
= 90%
90% of the price of 1st pair before GST = 225
1% of the price of 1st pair before GST = 225 ÷ 90 = 2.5
100% of the price of the 1st pair before GST = 100 x 2.5 = 250
Usual price for the first pair of sandals before GST = $250
Answer(s): (a) $291; (b) $250
