Real Estate Commission Calculation: Finding the Selling Price
Let's break down this problem to find the selling price of a house. The real estate agent earns a 6% commission on the selling price. We need to determine if either of the provided statements is sufficient to calculate the selling price.
Statement (1): The selling price minus the agent's commission is $84,600.
Let 'x' represent the selling price. The agent's commission is 0.06x. Therefore, we have the equation:
x - 0.06x = 84,600 0.94x = 84,600 x = 90,000
Statement (1) alone is sufficient to determine the selling price.
Statement (2): The selling price is 250% of the original purchase price of $36,000.
Using the same variable 'x' for the selling price, we have:
x = 2.5(36,000) x = 90,000
Statement (2) alone is also sufficient to determine the selling price.
Conclusion: Since both Statement (1) and Statement (2) individually provide enough information to calculate the selling price, the answer is (D) EACH statement ALONE is sufficient.
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