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 xx.

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: 1.13x=2587161.13x = 258716

Now, solve for xx (the original price):

x=2587161.13x = \frac{258716}{1.13}

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:

  1. How would the original price change if the property sold for 120% of its original value?
  2. What would be the percentage increase if the property was sold for $300,000 instead?
  3. How can you calculate the percentage profit from the sale price and original price?
  4. If the property had been sold for $200,000, what would be the original price assuming 113% of the original value?
  5. 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

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Suitable Grade Level

Grades 6-8