Question

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?

Answer 1

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**.