A property sold for **425%** of what the vendors originally paid for it.  What was that original price if the recent selling price was **$680,000**? 




To find the original price that the vendors paid, given that the property sold for **425%** of the original price, we can set up the equation as follows:

Let the original price be $ x $.

1. The selling price was **425%** of the original price, so:
   \[
   425\% \text{ of } x = 680,000
   \]

2. Converting **425%** to a decimal:
   \[
   4.25 \times x = 680,000
   \]

3. Now, isolate $ x $ by dividing both sides by **4.25**:
   \[
   x = \frac{680,000}{4.25}
   \]

4. Calculating the division:
   \[
   x = 160,000
   \]

So, the original price that the vendors paid was **$160,000**.

Would you like further details or have any questions?

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Here are some related questions:

1. How would the result change if the selling price was 350% of the original price instead?
2. If the property’s value increased by a different percentage, say 500%, how would the calculation adjust?
3. How do we calculate the original price if only the profit percentage is known?
4. What if only the profit amount over the original price was given—how would we find the original price?
5. How does changing the percentage impact the return on investment?

**Tip:** Remember, percentages can be converted to decimals by dividing by 100, simplifying calculations with percentages.

A property sold for 425% of what the vendors originally paid for it. What was that original price if the recent selling price was $680,000?

Learn how to calculate the original price of a property sold for 425% of its purchase value. This problem uses algebra and percentage concepts to determine the original price, which is $160,000. Ideal for middle school students in Grades 6-8.

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