A fruit seller bought 600 mangoes at 6 for Rs . 5 and sold at 5 for Rs. 6 .Find the profit or loss percentage .

Options

A. Profit `44%`
B. Loss `44%`
C. Profit `22%`
D. Loss `22%`

Answer

To solve the problem of the fruit seller's profit or loss percentage, we will follow these steps:

### Step 1: Calculate the Cost Price (CP) of 600 mangoes
The cost price of 6 mangoes is Rs. 5.
To find the cost price of 600 mangoes, we first find the cost price of 1 mango.

\[ \text{CP of 1 mango} = \frac{5}{6} \text{ Rs.} \]

Now, the total cost price for 600 mangoes is:

\[ \text{Total CP} = 600 \times \frac{5}{6} = 500 \text{ Rs.} \]

### Step 2: Calculate the Selling Price (SP) of 600 mangoes
The selling price of 5 mangoes is Rs. 6.
To find the selling price of 1 mango:

\[ \text{SP of 1 mango} = \frac{6}{5} \text{ Rs.} \]

Now, the total selling price for 600 mangoes is:

\[ \text{Total SP} = 600 \times \frac{6}{5} = 720 \text{ Rs.} \]

### Step 3: Calculate Profit or Loss
Now, we can find the profit by subtracting the total cost price from the total selling price:

\[ \text{Profit} = \text{Total SP} - \text{Total CP} = 720 - 500 = 220 \text{ Rs.} \]

### Step 4: Calculate Profit Percentage
To find the profit percentage, we use the formula:

\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Total CP}} \right) \times 100 \]

Substituting the values:

\[ \text{Profit Percentage} = \left( \frac{220}{500} \right) \times 100 = 44\% \]

### Conclusion
The fruit seller made a profit of 44%.

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