Gabby bought 2 pairs of ballet shoes at the store and paid a total amount of $303.02 including 9% GST.
- How much did the 2 pairs of ballet shoes cost before GST?
- The usual price for Gabby's second pair of ballet shoes was $78 before GST. What was the usual price of her first pair of ballet shoes before GST?
|
Member's Birthday Special
|
|
1st pair of ballet shoes at 20% discount*
2nd pair of ballet shoes at 40% discount*
*before GST
#2nd pair must be cheaper or equal in price.
|
| |
1st pair |
2nd pair |
Total |
| Selling price |
100% =
$250 |
100% =
$130 |
|
| Discount |
- 20% |
- 40% |
|
| Final price |
80% =
$200 |
60% =
$78 |
$278 |
Final price with
GST 9% |
$218 |
$85.02 |
$303.02 |
(a)
Total cost including GST in percentage
= 100% + 9%
= 109%
109% of the cost = 303.02
1% of the cost = 303.02 ÷ 109 = 2.78
100% of the cost = 100 x 2.78 = 278
Cost of the 2 pairs of ballet shoes before GST = $278
(b)
Discounted price of the first pair before GST
= 278 - 78
= $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 ballet shoes before GST = $250
Answer(s): (a) $278; (b) $250
