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 A trader has 60 kg of pulses, one part of which is sold at 8% profit and the rest is sold at 14% profit. He gains 12% on whole. What is the quantity sold at 14% profit?
  • a)
    20kg
  • b)
    30kg
  • c)
    40kg
  • d)
    50kg
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A trader has 60 kg of pulses, one part of which is sold at 8% profit a...
Answer – c) 40kg Explanation : So ratio will be 1:2, so quantity sold at 14% profit = 2/3*60 = 40kg
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A trader has 60 kg of pulses, one part of which is sold at 8% profit a...
Given information:
- The trader has 60 kg of pulses.
- One part is sold at 8% profit.
- The rest is sold at 14% profit.
- The trader gains 12% on the whole.

Let's assume that the quantity sold at 8% profit is x kg. Therefore, the quantity sold at 14% profit would be (60 - x) kg.

Profit Calculation:
- The profit on the quantity sold at 8% profit is 8% of x kg.
- The profit on the quantity sold at 14% profit is 14% of (60 - x) kg.
- The overall profit on the whole is 12% of 60 kg.

Equations:
- Profit on x kg at 8% = 0.08x
- Profit on (60 - x) kg at 14% = 0.14(60 - x)
- Overall profit on 60 kg at 12% = 0.12(60)

Equation 1: 0.08x + 0.14(60 - x) = 0.12(60)
Simplifying Equation 1:
0.08x + 8.4 - 0.14x = 7.2
-0.06x = -1.2
x = -1.2 / -0.06
x = 20

Therefore, the quantity sold at 14% profit is (60 - x) = (60 - 20) = 40 kg.

Hence, the correct answer is option C) 40 kg.
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A trader has 60 kg of pulses, one part of which is sold at 8% profit and the rest is sold at 14% profit. He gains 12% on whole. What is the quantity sold at 14% profit?a)20kgb)30kgc)40kgd)50kge)None of theseCorrect answer is option 'C'. Can you explain this answer?
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