Math Problem Statement
A property was sold for 113% of what the investors originally paid. If the property was sold for $258716, then what was the original price? Give your answer to the nearest cent.
Solution
Let the original price of the property be .
We are told that the property was sold for 113% of the original price, and that the selling price was $258,716.
This can be represented by the equation:
Now, solve for (the original price):
Let me calculate that for you.The original price of the property was $228,952.21.
Would you like more details on the calculation or have any further questions?
Here are 5 related questions to consider:
- How would the original price change if the property sold for 120% of its original value?
- What would be the percentage increase if the property was sold for $300,000 instead?
- How can you calculate the percentage profit from the sale price and original price?
- If the property had been sold for $200,000, what would be the original price assuming 113% of the original value?
- How does a percentage over 100% affect the original price in real estate investments?
Tip: When dealing with percentages over 100%, you're calculating an increase, so always subtract 100 to find the percentage gain.
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Math Problem Analysis
Mathematical Concepts
Algebra
Percentage Calculations
Solving Linear Equations
Formulas
Percentage formula: Final Price = Original Price × (1 + Percentage Increase)
To find Original Price: Original Price = Final Price ÷ (1 + Percentage Increase)
Theorems
-
Suitable Grade Level
Grades 6-8
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