A trader buys wheat at Rs. 750 per quintal. At what price per kilogram must he sell it so as to gain 10%?

Answer

To solve the problem step by step, we will follow the calculations as outlined in the video transcript.

### Step 1: Determine the Cost Price per Quintal
The cost price of wheat is given as Rs. 750 per quintal.

### Step 2: Convert Quintals to Kilograms
Since 1 quintal is equal to 100 kilograms, we need to find the cost price per kilogram.
\[ \text{Cost Price per Kilogram} = \frac{\text{Cost Price per Quintal}}{100} = \frac{750}{100} = 7.5 \text{ Rs.} \]

### Step 3: Calculate the Gain
The trader wants to gain 10% on the cost price. We calculate the gain as follows:
\[ \text{Gain} = \frac{10}{100} \times \text{Cost Price per Kilogram} = \frac{10}{100} \times 7.5 = 0.75 \text{ Rs.} \]

### Step 4: Calculate the Selling Price
The selling price is the cost price plus the gain. Thus,
\[ \text{Selling Price} = \text{Cost Price per Kilogram} + \text{Gain} = 7.5 + 0.75 = 8.25 \text{ Rs.} \]

### Final Answer
The trader must sell the wheat at Rs. 8.25 per kilogram to gain 10%.

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