gsm8k-0002
1.000
Challenge · difficulty 2/5
# GSM8K Problem 3
Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make?
Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.
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Proposed solution
Here is the step-by-step reasoning to solve the problem:
1. **Calculate the total cost:**
Josh bought the house for $\$80,000$ and spent $\$50,000$ on repairs.
Total Cost = Purchase Price + Repair Cost
Total Cost = $\$80,000 + \$50,000 = \$130,000$
2. **Calculate the increase in the house's value:**
The problem states that the repairs increased the value of the house by $150\%$. This percentage applies to the original value of the house (the purchase price).
Increase in Value = $150\%$ of $\$80,000$
Increase in Value = $1.50 \times \$80,000 = \$120,000$
3. **Calculate the new value of the house:**
The new value is the original value plus the increase.
New Value = Original Value + Increase in Value
New Value = $\$80,000 + \$120,000 = \$200,000$
4. **Calculate the profit:**
Profit is the difference between the new value (selling price) and the total cost.
Profit = New Value - Total Cost
Profit = $\$200,000 - \$130,000 = \$70,000$
\boxed{70000}