Dana has been invoiced $540.00 for a new smart television. The invoiced amount includes the full cost 100% of the television set as well as the 10% GST. Calculate the amount of GST paid.

To calculate the amount of GST (Goods and Services Tax) paid, we can follow these steps:

Given:
- The total invoiced amount (including GST) is $540.00.
- The GST rate is 10%.

Let the cost of the television before GST be $ x $.

1. **Total invoiced amount:**
   The total amount invoiced includes the cost of the television plus 10% GST, so:
   \[
   \text{Total amount} = x + 0.10x = 1.10x
   \]
   We know that the total invoiced amount is $540.00, so:
   \[
   1.10x = 540
   \]

2. **Solve for $ x $ (the pre-GST cost of the television):**
   \[
   x = \frac{540}{1.10} = 490.91
   \]

   Therefore, the cost of the television before GST is $490.91.

3. **Calculate the amount of GST:**
   The amount of GST paid is 10% of the pre-GST cost:
   \[
   \text{GST} = 0.10 \times 490.91 = 49.09
   \]

Thus, the amount of GST paid is **$49.09**.

Would you like more details on any step?

Here are some related questions:
1. How do you calculate GST for different percentages?
2. What happens if a different tax rate is applied?
3. How do you calculate reverse percentages in other contexts?
4. What is the difference between pre-tax and post-tax amounts?
5. How would this calculation change with a discount applied?

**Tip:** When calculating percentages, always ensure you know whether you are dealing with pre- or post-tax amounts to avoid confusion.

Learn how to calculate the amount of GST paid on a $540 invoice for a smart television, which includes a 10% GST. This step-by-step guide explains how to find the pre-GST cost and the GST amount, suitable for students in Grades 6-8.

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