MathematicsA 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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