If 3 toys are sold at the cost price of 4 toys of the same kind, the profit will be :

Options

A. 0.25
B. `33 1/3%`
C. `66 1/2%`
D. `50%`

Answer

To solve the problem, we need to determine the profit percentage when 3 toys are sold at the cost price of 4 toys of the same kind.

### Step-by-Step Solution:

1. **Define Variables**:
Let the cost price of one toy be \( x \). Therefore, the cost price of 3 toys will be:
\[ \text{Cost Price of 3 toys} = 3x \]

2. **Selling Price Calculation**:
According to the problem, the selling price of 3 toys is equal to the cost price of 4 toys. Therefore, the selling price of 4 toys is:
\[ \text{Cost Price of 4 toys} = 4x \]
Hence, the selling price of 3 toys is:
\[ \text{Selling Price of 3 toys} = 4x \]

3. **Calculate Profit**:
Profit can be calculated using the formula:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
Substituting the values we have:
\[ \text{Profit} = 4x - 3x = x \]

4. **Calculate Profit Percentage**:
Profit percentage is given by the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]
Here, the cost price is that of 3 toys, which is \( 3x \). Thus, we have:
\[ \text{Profit Percentage} = \left( \frac{x}{3x} \right) \times 100 = \frac{1}{3} \times 100 = 33.33\% \]

5. **Conclusion**:
Therefore, the profit percentage when 3 toys are sold at the cost price of 4 toys is:
\[ \text{Profit Percentage} = 33 \frac{1}{3}\% \]