How do you calculate the total cost of an item that costs $60 with a 10% tax?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

To calculate the total cost of an item that costs $60 with a 10% tax, you first need to determine the amount of tax to be added to the initial cost.

Start by calculating the tax amount. A 10% tax on $60 can be found by multiplying $60 by 0.10 (which represents 10%).

[

\text{Tax Amount} = 60 \times 0.10 = 6

]

Next, you need to add the tax amount to the original cost of the item:

[

\text{Total Cost} = \text{Original Cost} + \text{Tax Amount} = 60 + 6 = 66

]

Therefore, the total cost after including the tax is $66. This calculation not only shows the method of arriving at the final number but also highlights the importance of knowing how percentages are applied to a base amount.

While the other options represent various numbers, option A correctly embodies the process of calculating the additional cost due to tax and adding it to the original price, reinforcing the principle of understanding how taxes affect total expenditures.

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