1) Ahmed purchased a telescope for stargazing.

The total purchase price was $128.50, which included $10.28 in sales tax.
What percentage of the purchase price was sales tax?
Work:
percent
=
part

?
=

100
whole
100

1 answer

To find the percentage of the purchase price that was sales tax, you can use the formula:

\[ \text{Percentage} = \left( \frac{\text{part}}{\text{whole}} \right) \times 100 \]

In this case:

  • The part is the sales tax amount, which is \( $10.28 \).
  • The whole is the total purchase price, which is \( $128.50 \).

Now, substituting these values into the formula:

\[ \text{Percentage} = \left( \frac{10.28}{128.50} \right) \times 100 \]

Calculating the fraction:

\[ \frac{10.28}{128.50} \approx 0.07994 \]

Now, multiply by 100 to find the percentage:

\[ \text{Percentage} \approx 0.07994 \times 100 \approx 7.994 \]

Rounded to two decimal places, the sales tax percentage is approximately:

\[ \text{Percentage} \approx 8.00% \]

So, the sales tax is approximately 8.00% of the purchase price.