Gem bought 2 pairs of boots at the store and paid a total amount of $315.65 including 7% GST.
- How much did the 2 pairs of boots cost before GST?
- The usual price for Gem's second pair of boots was $95 before GST. What was the usual price of her first pair of boots before GST?
|
Member's Birthday Special
|
|
1st pair of boots at 20% discount*
2nd pair of boots at 50% discount*
*before GST
#2nd pair must be cheaper or equal in price.
|
| |
1st pair |
2nd pair |
Total |
| Selling price |
100% =
$250 |
100% =
$190 |
|
| Discount |
- 20% |
- 50% |
|
| Final price |
80% =
$200 |
50% =
$95 |
$295 |
Final price with
GST 7% |
$214 |
$101.65 |
$315.65 |
(a)
Total cost including GST in percentage
= 100% + 7%
= 107%
107% of the cost = 315.65
1% of the cost = 315.65 ÷ 107 = 2.95
100% of the cost = 100 x 2.95 = 295
Cost of the 2 pairs of boots before GST = $295
(b)
Discounted price of the first pair before GST
= 295 - 95
= $200
Discounted price of the first pair before GST in percentage
= 100% - 20%
= 80%
80% of the price of 1st pair before GST = 200
1% of the price of 1st pair before GST = 200 ÷ 80 = 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) $295; (b) $250
