A particular service has a cost of $810 excluding GST at 10%. What is the total cost after GST is added?

1. ### Break Down the Problem

We need to calculate the total cost after adding the Goods and Services Tax (GST) to the initial service cost.

2. ### Relevant Concepts

The formula to calculate the total cost after adding GST is: $\text{Total Cost} = \text{Cost Excluding GST} + \text{GST Amount}$ Where: $\text{GST Amount} = \text{Cost Excluding GST} \times \text{GST Rate}$

3. ### Analysis and Detail

1. Identify the cost excluding GST: $\text{Cost Excluding GST} = 810$
2. Identify the GST rate: $\text{GST Rate} = 10\% = 0.10$
3. Calculate the GST Amount: $\text{GST Amount} = 810 \times 0.10 = 81$
4. Calculate the total cost: $\text{Total Cost} = 810 + 81 = 891$

4. ### Verify and Summarize

We have calculated the GST amount and total cost. The calculations show that the GST on the service cost of $810 is$81, leading to a total cost of $891.

Final Answer

The total cost after GST is added is $891.