Explanation:

- The trader has a total of 50 kg of rice to sell.

- He sells part of it at a 14% profit and the rest at a 6% loss.

- His overall loss is stated to be 4%.

- Let's calculate:

- Assume x kg is sold at 14% profit and (50 - x) kg is sold at 6% loss.

- The total cost price for 50 kg is 50 units (since cost price of 1 kg is assumed as 1 unit).

- Selling price of x kg = x * 1.14

- Selling price of (50 - x) kg = (50 - x) * 0.94

- Profit and Loss Balance Equation:

`x * 1.14 + (50 - x) * 0.94 = 50 * 0.96`

- Solve for x.

- 1.14x + 47 - 0.94x = 48

- 0.2x = 1

- x = 5

- Therefore, 5 kg is sold at 14% profit and 45 kg at 6% loss.

- Options:

- Option 1: 5 kg, 45 kg - Correct Answer

- Option 2: 10 kg, 40 kg

- Option 3: 8 kg, 32 kg

- Option 4: None of these

Answer: Option 1 is correct.