The selling price of 6 bananas is equal to the cost price of 8 bananas. Then the percentage of profit is:

Options

A. 20
B. 33 `1/3`
C. 25
D. 30

Answer

To solve the problem step by step, let's define the variables and follow the logic presented in the video transcript.

### Step 1: Define the Variables
Let the Cost Price (CP) of one banana be \( x \).
Then, the Cost Price of 8 bananas will be \( 8x \).

### Step 2: Set Up the Equation
According to the problem, the Selling Price (SP) of 6 bananas is equal to the Cost Price of 8 bananas. Therefore, we can write the equation:
\[ \text{SP of 6 bananas} = \text{CP of 8 bananas} \]
This can be expressed as:
\[ 6 \times \text{SP} = 8 \times x \]

### Step 3: Solve for Selling Price (SP)
From the equation above, we can express the Selling Price (SP) as:
\[ \text{SP} = \frac{8x}{6} = \frac{4x}{3} \]

### Step 4: Calculate Profit
Now, we need to find the profit. Profit is given by the formula:
\[ \text{Profit} = \text{SP} - \text{CP} \]
For 1 banana, the profit can be calculated as:
\[ \text{Profit} = \frac{4x}{3} - x \]
To simplify this, we can write \( x \) as \( \frac{3x}{3} \):
\[ \text{Profit} = \frac{4x}{3} - \frac{3x}{3} = \frac{x}{3} \]

### Step 5: Calculate Profit Percentage
Profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Profit Percentage} = \left( \frac{\frac{x}{3}}{x} \right) \times 100 = \left( \frac{1}{3} \right) \times 100 = \frac{100}{3} \]
This simplifies to:
\[ \text{Profit Percentage} = 33 \frac{1}{3} \% \]

### Final Answer
Thus, the percentage of profit is:
\[ \text{Profit Percentage} = 33 \frac{1}{3} \% \]

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