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?
Solution
1. Break Down the Problem
To determine how much Cheko paid for the television:
- Calculate the GST.
- 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:
-
GST can be calculated as:
3. Analysis and Detail
-
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:
-
Calculate Total Price:
- Now, add the GST to the original price:
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.
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