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A trader has 1500 kg of wheat. One part of it is sold at 10 percent profit and other part at 18 percent profit. He gains a total of 16 percent on the whole lot.The quantity sold at 10% is
  • a)
    275
  • b)
    375
  • c)
    475
  • d)
    575
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A trader has 1500 kg of wheat. One part of it is sold at 10 percent pr...
Answer – b) 375 Explanation : Ratio => 1:3. So quantity sold at 10% = (1/4)*1500 = 375
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A trader has 1500 kg of wheat. One part of it is sold at 10 percent pr...
Solution:
Let's assume that the trader sells x kg of wheat at a 10% profit and (1500 - x) kg of wheat at an 18% profit.

To find the quantity sold at 10% profit, we need to solve the following equation:

(10/100)(x) + (18/100)(1500 - x) = (16/100)(1500)

Simplifying the equation, we get:

(10/100)(x) + (18/100)(1500) - (18/100)(x) = (16/100)(1500)

(10/100 - 18/100)(x) = (16/100)(1500) - (18/100)(1500)

(-8/100)(x) = (16/100 - 18/100)(1500)

(-8/100)(x) = (-2/100)(1500)

Cancelling out the common factors, we get:

-8x = -2(1500)

Dividing both sides by -8, we get:

x = 375

Therefore, the quantity sold at a 10% profit is 375 kg.

Hence, the correct answer is option 'B'.
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A trader has 1500 kg of wheat. One part of it is sold at 10 percent profit and other part at 18 percent profit. He gains a total of 16 percent on the whole lot.The quantity sold at 10% isa)275b)375c)475d)575e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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