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Cheko bought a television that costs $720 before GST.Given that GST took 10% of the total price (price before GST + GST), how much did Cheko pay?

Question

Cheko bought a television that costs $720 before GST.

Given that GST took 10% of the total price (price before GST + GST), how much did Cheko pay?

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Solution

1. Break Down the Problem

To determine how much Cheko paid for the television:

  1. Calculate the GST.
  2. Find the total price (price before GST + GST).

2. Relevant Concepts

  • GST (Goods and Services Tax) is calculated as a percentage of the original price.

  • The formula for calculating the total price after GST is:

    Total Price=Price before GST+GST \text{Total Price} = \text{Price before GST} + \text{GST}

  • GST can be calculated as:

    GST=Price before GST×GST Rate \text{GST} = \text{Price before GST} \times \text{GST Rate}

3. Analysis and Detail

  1. Calculate GST:

    • Given that the price before GST is $720, and the GST rate is 10% (or 0.10), we can calculate GST as follows:

    GST=720×0.10=72 \text{GST} = 720 \times 0.10 = 72

  2. Calculate Total Price:

    • Now, add the GST to the original price:

    Total Price=720+72=792 \text{Total Price} = 720 + 72 = 792

4. Verify and Summarize

  • The calculations reveal that Cheko paid $792 in total for the television, which includes the original price plus the GST.

Final Answer

Cheko paid $792 for the television.

This problem has been solved

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