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A trader has 50 kg of rice, a part of which he sells at 10% profit and the rest at 5% loss. He gains 7% on the whole. How much was sold at 10% gain and how much was sold at 5% loss? 
  • a)
    40 kg and 15 kg 
  • b)
    30 kg and 10 kg 
  • c)
    35 kg and 40 kg 
  • d)
    40 kg and 10 kg 
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
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A trader has 50 kg of rice, a part of which he sells at 10% profit and...
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A trader has 50 kg of rice, a part of which he sells at 10% profit and...
Solution:

Let x kg of rice be sold at 10% profit and (50 - x) kg of rice be sold at 5% loss.

Given, the trader gains 7% on the whole.

Therefore, the selling price of the entire 50 kg of rice is 107% of its cost price.

Selling Price = Cost Price + Profit/Loss

⇒ 107% of Cost Price = Cost Price + Profit on x kg - Loss on (50 - x) kg

⇒ 1.07 × Cost Price = Cost Price + 0.1x - 0.05(50 - x)

⇒ 1.07 × Cost Price = Cost Price + 0.1x - 2.5 + 0.05x

⇒ 0.12x = 1.5

⇒ x = 12.5

Therefore, 12.5 kg of rice is sold at 10% profit and the remaining (50 - 12.5) = 37.5 kg of rice is sold at 5% loss.

Hence, the correct option is (D) 40 kg and 10 kg.
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A trader has 50 kg of rice, a part of which he sells at 10% profit and...
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A trader has 50 kg of rice, a part of which he sells at 10% profit and the rest at 5% loss. He gains 7% on the whole. How much was sold at 10% gain and how much was sold at 5% loss?a)40 kg and 15 kgb)30 kg and 10 kgc)35 kg and 40 kgd)40 kg and 10 kge)None of theseCorrect answer is option 'D'. Can you explain this answer?
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A trader has 50 kg of rice, a part of which he sells at 10% profit and the rest at 5% loss. He gains 7% on the whole. How much was sold at 10% gain and how much was sold at 5% loss?a)40 kg and 15 kgb)30 kg and 10 kgc)35 kg and 40 kgd)40 kg and 10 kge)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A trader has 50 kg of rice, a part of which he sells at 10% profit and the rest at 5% loss. He gains 7% on the whole. How much was sold at 10% gain and how much was sold at 5% loss?a)40 kg and 15 kgb)30 kg and 10 kgc)35 kg and 40 kgd)40 kg and 10 kge)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trader has 50 kg of rice, a part of which he sells at 10% profit and the rest at 5% loss. He gains 7% on the whole. How much was sold at 10% gain and how much was sold at 5% loss?a)40 kg and 15 kgb)30 kg and 10 kgc)35 kg and 40 kgd)40 kg and 10 kge)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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