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### Problem:
- Purchase price of dining room set = $850
- Sales tax amount = $42.50
- Question: What is the sales tax rate?

### Solution:

The formula to find the sales tax rate is:

\[
\text{Sales tax rate} = \left( \frac{\text{Sales tax}}{\text{Purchase price}} \right) \times 100
\]

Substitute the values:

\[
\text{Sales tax rate} = \left( \frac{42.50}{850} \right) \times 100 = 5\%
\]

Thus, the sales tax rate is **5%**.

Would you like any additional clarification or further details?

Here are five related questions you can explore:
1. How would you calculate the total cost including sales tax?
2. If the purchase price was increased to $1,000, how would the sales tax amount change at the same rate?
3. How can you calculate the sales tax for a different item costing $500 with the same tax rate?
4. What happens to the sales tax amount if the tax rate changes to 7%?
5. Can you calculate the purchase price if only the sales tax and rate are given?

**Tip**: When working with percentage calculations, always ensure that the tax rate is expressed as a decimal in the formula before multiplying by 100.

Sales Tax: Suppose the purchase price of a dining room set is $850. If the sales tax is $42.50, what is the sales tax rate?

Find out how to calculate the sales tax rate for a purchase of $850 with a sales tax of $42.50. This problem involves basic percentage calculations and is suitable for students in Grades 6-8.

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