Question: Calculators were purchased at $95 per dozen and sold at $25 for three calculators. What is the profit on six dozen calculators?
1. **State the problem:** We need to find the profit on six dozen calculators.
2. **Identify given information:**
- Purchase price: $95 per dozen calculators
- Selling price: $25 for 3 calculators
- Quantity: 6 dozen calculators
3. **Calculate the total cost price:**
$$\text{Cost price per dozen} = 95$$
$$\text{Number of dozens} = 6$$
$$\text{Total cost price} = 95 \times 6 = 570$$
4. **Calculate the total number of calculators:**
$$6 \text{ dozen} = 6 \times 12 = 72 \text{ calculators}$$
5. **Calculate the selling price per calculator:**
$$\text{Selling price for 3 calculators} = 25$$
$$\text{Selling price per calculator} = \frac{25}{3}$$
6. **Calculate the total selling price:**
$$\text{Total selling price} = 72 \times \frac{25}{3}$$
$$= 72 \times \frac{25}{3} = \cancel{72} \times \frac{25}{\cancel{3}} = 24 \times 25 = 600$$
7. **Calculate the profit:**
$$\text{Profit} = \text{Total selling price} - \text{Total cost price}$$
$$= 600 - 570 = 30$$
**Final answer:** The profit on six dozen calculators is $30.