A frult seller buys 100 kg. of su perior variety of mangoes at Rs. 45 per kg and 200 kg. of inferior variety at Rs. 40 per kg and sells all the mangoes at Rs. 45 per kg. The profit percentage of the frult seller is:

Options

A. 25
B. 22 `2/9`
C. 12.5
D. 8

Answer

To solve the problem step by step, let's break down the calculations:

### Step 1: Calculate the Cost Price (CP) of Superior Mangoes
The fruit seller buys 100 kg of superior variety mangoes at Rs. 45 per kg.

\[ \text{Cost Price of Superior Mangoes} = \text{Quantity} \times \text{Price per kg} = 100 \, \text{kg} \times 45 \, \text{Rs/kg} = 4500 \, \text{Rs} \]

### Step 2: Calculate the Cost Price (CP) of Inferior Mangoes
The fruit seller buys 200 kg of inferior variety mangoes at Rs. 40 per kg.

\[ \text{Cost Price of Inferior Mangoes} = \text{Quantity} \times \text{Price per kg} = 200 \, \text{kg} \times 40 \, \text{Rs/kg} = 8000 \, \text{Rs} \]

### Step 3: Calculate the Total Cost Price (CP) of all Mangoes
Now, we will add the cost prices of both varieties of mangoes.

\[ \text{Total Cost Price} = \text{Cost Price of Superior Mangoes} + \text{Cost Price of Inferior Mangoes} = 4500 \, \text{Rs} + 8000 \, \text{Rs} = 12500 \, \text{Rs} \]

### Step 4: Calculate the Selling Price (SP) of all Mangoes
The fruit seller sells all the mangoes at Rs. 45 per kg. The total quantity of mangoes is 100 kg + 200 kg = 300 kg.

\[ \text{Selling Price} = \text{Total Quantity} \times \text{Selling Price per kg} = 300 \, \text{kg} \times 45 \, \text{Rs/kg} = 13500 \, \text{Rs} \]

### Step 5: Calculate the Profit
Profit can be calculated by subtracting the total cost price from the total selling price.

\[ \text{Profit} = \text{Selling Price} - \text{Total Cost Price} = 13500 \, \text{Rs} - 12500 \, \text{Rs} = 1000 \, \text{Rs} \]

### Step 6: Calculate the Profit Percentage
Profit percentage is calculated using the formula:

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

Substituting the values we have:

\[ \text{Profit Percentage} = \left( \frac{1000 \, \text{Rs}}{12500 \, \text{Rs}} \right) \times 100 = 8\% \]

### Final Answer
The profit percentage of the fruit seller is **8%**.

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