A fruit-seller sells 4 oranges for 3, gaining 50%. Find :
profit made by selling one orange

Answer

To find the profit made by selling one orange, we can follow these steps:

### Step 1: Determine the Selling Price of One Orange
The problem states that the fruit seller sells 4 oranges for 3. Therefore, the selling price (SP) of one orange can be calculated as:
\[ SP \text{ of 1 orange} = \frac{3}{4} = 0.75 \]

### Step 2: Understand the Gain Percentage
It is given that the seller gains 50% on the cost price (CP). This means that the gain can be expressed as:
\[ \text{Gain} = 50\% \text{ of CP} = 0.5 \times CP \]

### Step 3: Relate Selling Price to Cost Price
The selling price is also equal to the cost price plus the gain. Therefore, we can write:
\[ SP = CP + \text{Gain} \]
Substituting the expression for Gain, we have:
\[ SP = CP + 0.5 \times CP = 1.5 \times CP \]

### Step 4: Set Up the Equation
From Step 1, we know that the selling price of one orange is 0.75. We can now set up the equation:
\[ 0.75 = 1.5 \times CP \]

### Step 5: Solve for Cost Price
To find the cost price (CP), we can rearrange the equation:
\[ CP = \frac{0.75}{1.5} = 0.5 \]

### Step 6: Calculate the Profit
Now that we have the cost price, we can find the profit made by selling one orange:
\[ \text{Profit} = SP - CP = 0.75 - 0.5 = 0.25 \]

### Final Answer
The profit made by selling one orange is **0.25**.

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