A trader has 600 kgs of rice, a part of which he sells at profit and the remaining quantity at loss. On the whole. he incurs an overall loss of . What is the quantity of rice he sold at 20% loss?

# A trader has 600 kgs of rice, a part of which he sells at profit and the remaining quantity at loss. On the whole. he incurs an overall loss of . What is the quantity of rice he sold at 20% loss?

1. A
350 Kg
2. B
360 Kg
3. C
425 Kg
4. D
465 Kg

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### Solution:

Concept: Suppose the amount of rice sold with a loss of is x kg, the question asks you to find this, so the remaining amount of rice is Kg sold with a profit of .
The amount of rice sold with a 20% loss is x kg
And the cost is Since the loss is , the gain is at , so it is , and the total loss is , so it is.
Amount used for selling x kg =Amount used  for selling = Now, the question states that the total loss of 600 kg of rice is . Therefore, the total amount a trader receives after losing The question states that the merchant will sell the amount of rice  that is a loss of 20% and the amount of rice that is a profit of 15%, so adding formulas (1) and  (2) will give: It looks like.
From equation (4) and (3) we get:
On further solving equation (5) we get:
Hence, the correct answer is option (2)

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