A dealer buys 200 quintals of wheat at Rs. 1200 a quintal. He spends Rs. 10,000 on transportation and storage. Then he sells the wheat at Rs. 13 per kg. Find his profit or loss. Also calculate it as a percentage.

Answer

To solve the problem step by step, we will first calculate the total cost price of the wheat, then the total selling price, and finally determine the profit or loss and its percentage.

### Step 1: Calculate the Total Cost Price (CP)

The dealer buys 200 quintals of wheat at Rs. 1200 per quintal.

\[ \text{Cost Price of Wheat} = \text{Number of Quintals} \times \text{Price per Quintal} \]
\[ \text{Cost Price of Wheat} = 200 \, \text{quintals} \times 1200 \, \text{Rs/quintal} = 240000 \, \text{Rs} \]

Next, we add the transportation and storage costs:

\[ \text{Total Cost Price} = \text{Cost Price of Wheat} + \text{Transportation and Storage Cost} \]
\[ \text{Total Cost Price} = 240000 \, \text{Rs} + 10000 \, \text{Rs} = 250000 \, \text{Rs} \]

### Step 2: Calculate the Total Selling Price (SP)

The dealer sells the wheat at Rs. 13 per kg. First, we need to convert quintals to kilograms since 1 quintal = 100 kg.

\[ \text{Total Weight in kg} = 200 \, \text{quintals} \times 100 \, \text{kg/quintal} = 20000 \, \text{kg} \]

Now, we calculate the total selling price:

\[ \text{Total Selling Price} = \text{Total Weight in kg} \times \text{Selling Price per kg} \]
\[ \text{Total Selling Price} = 20000 \, \text{kg} \times 13 \, \text{Rs/kg} = 260000 \, \text{Rs} \]

### Step 3: Calculate Profit or Loss

Now, we can find the profit or loss by subtracting the total cost price from the total selling price:

\[ \text{Profit or Loss} = \text{Total Selling Price} - \text{Total Cost Price} \]
\[ \text{Profit or Loss} = 260000 \, \text{Rs} - 250000 \, \text{Rs} = 10000 \, \text{Rs} \]

Since the result is positive, it indicates a profit.

### Step 4: Calculate Profit Percentage

To find the profit percentage, we use the formula:

\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Total Cost Price}} \right) \times 100 \]
\[ \text{Profit Percentage} = \left( \frac{10000 \, \text{Rs}}{250000 \, \text{Rs}} \right) \times 100 = 4\% \]

### Final Answer

- Profit: Rs. 10,000
- Profit Percentage: 4%

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