A fruit seller buys 300 oranges at 5 for Rs. 8 and sold at 2 Rs. 5. Find :
(i) the cost price of each oragne.
(ii) The selling price of each orange.
(iii) profit or lass on selling one orange
(iv) his total profit or loss on selling all the oranges.

Answer

Let's solve the problem step by step.

### Step 1: Calculate the Cost Price of Each Orange
The fruit seller buys 5 oranges for Rs. 8.

To find the cost price (CP) of one orange, we can use the formula:
\[ \text{CP of 1 orange} = \frac{\text{Total CP for 5 oranges}}{\text{Number of oranges}} \]
Substituting the values:
\[ \text{CP of 1 orange} = \frac{8}{5} = 1.6 \text{ Rs.} \]

### Step 2: Calculate the Selling Price of Each Orange
The fruit seller sells 2 oranges for Rs. 5.

To find the selling price (SP) of one orange, we can use the formula:
\[ \text{SP of 1 orange} = \frac{\text{Total SP for 2 oranges}}{\text{Number of oranges}} \]
Substituting the values:
\[ \text{SP of 1 orange} = \frac{5}{2} = 2.5 \text{ Rs.} \]

### Step 3: Calculate Profit or Loss on Selling One Orange
Now, we need to find the profit or loss on selling one orange. The profit or loss can be calculated using the formula:
\[ \text{Profit or Loss} = \text{SP} - \text{CP} \]
Substituting the values:
\[ \text{Profit or Loss} = 2.5 - 1.6 = 0.9 \text{ Rs.} \]
Since the selling price is greater than the cost price, this is a profit.

### Step 4: Calculate Total Profit or Loss on Selling All Oranges
To find the total profit on selling all 300 oranges, we can use the formula:
\[ \text{Total Profit} = \text{Profit on 1 orange} \times \text{Total number of oranges} \]
Substituting the values:
\[ \text{Total Profit} = 0.9 \times 300 = 270 \text{ Rs.} \]

### Summary of Answers:
1. Cost price of each orange: Rs. 1.6
2. Selling price of each orange: Rs. 2.5
3. Profit on selling one orange: Rs. 0.9
4. Total profit on selling all oranges: Rs. 270