A man bought a house for 12,500. He had it painted and paid the painter 16 dollars per day for 15 days. He also paid a carpenter at 18 dollars a day for 9 days of work. Additional expenses amounted to 392. He then sold the house for 13, 750. His profit was?

1 answer

To calculate the profit, we'll first determine the total costs incurred by the man.

  1. Cost of the house: $12,500

  2. Painter's costs:

    • Rate per day: $16
    • Number of days: 15
    • Total cost for painter: \( 16 \times 15 = 240 \)
  3. Carpenter's costs:

    • Rate per day: $18
    • Number of days: 9
    • Total cost for carpenter: \( 18 \times 9 = 162 \)
  4. 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.