To calculate the profit, we'll first determine the total costs incurred by the man.
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Cost of the house: $12,500
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Painter's costs:
- Rate per day: $16
- Number of days: 15
- Total cost for painter: \( 16 \times 15 = 240 \)
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Carpenter's costs:
- Rate per day: $18
- Number of days: 9
- Total cost for carpenter: \( 18 \times 9 = 162 \)
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Additional expenses: $392
Now, we can calculate the total cost:
\[ \text{Total Cost} = \text{Cost of house} + \text{Cost of painter} + \text{Cost of carpenter} + \text{Additional expenses} \]
Substituting in the values:
\[ \text{Total Cost} = 12,500 + 240 + 162 + 392 \]
Calculating this step by step:
\[ 12,500 + 240 = 12,740 \] \[ 12,740 + 162 = 12,902 \] \[ 12,902 + 392 = 13,294 \]
Thus, the total cost incurred is $13,294.
Next, we find the profit:
\[ \text{Profit} = \text{Selling Price} - \text{Total Cost} \]
Substituting in the values:
\[ \text{Profit} = 13,750 - 13,294 \]
Calculating the profit:
\[ \text{Profit} = 456 \]
Therefore, the profit is $456.