Hilda bought 2 pairs of boots at the store and paid a total amount of $346.68 including 8% GST.
- How much did the 2 pairs of boots cost before GST?
- The usual price for Hilda's second pair of boots was $96 before GST. What was the usual price of her first pair of boots before GST?
|
Member's Birthday Special
|
|
1st pair of boots at 10% discount*
2nd pair of boots at 40% discount*
*before GST
#2nd pair must be cheaper or equal in price.
|
| |
1st pair |
2nd pair |
Total |
| Selling price |
100% =
$250 |
100% =
$160 |
|
| Discount |
- 10% |
- 40% |
|
| Final price |
90% =
$225 |
60% =
$96 |
$321 |
Final price with
GST 8% |
$243 |
$103.68 |
$346.68 |
(a)
Total cost including GST in percentage
= 100% + 8%
= 108%
108% of the cost = 346.68
1% of the cost = 346.68 ÷ 108 = 3.21
100% of the cost = 100 x 3.21 = 321
Cost of the 2 pairs of boots before GST = $321
(b)
Discounted price of the first pair before GST
= 321 - 96
= $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 boots before GST = $250
Answer(s): (a) $321; (b) $250
