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A grain trader has 100 bags of rice. He sold some bags at 10% profit and rest at 20% profit. His overall profit on selling these 100 bags was 14%. How many bags did he sell at 20% profit?
  • a)
    40
  • b)
    50
  • c)
    60
  • d)
    70
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A grain trader has 100 bags of rice. He sold some bags at 10% profit...
Let the number of bags sold at the 10% profit be x.
Number of bags sold at 20% = 100 - x
According to the question:
1.10x + 1.20(100 - x) = 114
1.10x + 120 - 1.20x = 114
120 - 114 = 1.20 - 1.10x
6 = 0.1x
x = 60
Number of bags sold at 20% profit = 100 - 60 = 40
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Community Answer
A grain trader has 100 bags of rice. He sold some bags at 10% profit...
Solution:

Let's assume the number of bags sold at 10% profit = x

Number of bags sold at 20% profit = 100 - x

Given:
- Overall profit on selling 100 bags = 14%
- Profit on bags sold at 10% = 10%
- Profit on bags sold at 20% = 20%

Calculating the overall profit:
(10%x + 20%(100-x))/100 = 14%
(10x + 2000 - 20x)/100 = 14%
(2000 - 10x)/100 = 14%
2000 - 10x = 14 x 100
2000 - 10x = 1400
-10x = -600
x = 60

Therefore, the number of bags sold at 20% profit = 100 - x = 100 - 60 = 40
So, the grain trader sold 40 bags at 20% profit. Hence, option 'A' is correct.
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A grain trader has 100 bags of rice. He sold some bags at 10% profit and rest at 20% profit. His overall profit on selling these 100 bags was 14%. How many bags did he sell at 20% profit?a)40b)50c)60d)70Correct answer is option 'A'. Can you explain this answer?
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A grain trader has 100 bags of rice. He sold some bags at 10% profit and rest at 20% profit. His overall profit on selling these 100 bags was 14%. How many bags did he sell at 20% profit?a)40b)50c)60d)70Correct answer is option 'A'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A grain trader has 100 bags of rice. He sold some bags at 10% profit and rest at 20% profit. His overall profit on selling these 100 bags was 14%. How many bags did he sell at 20% profit?a)40b)50c)60d)70Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A grain trader has 100 bags of rice. He sold some bags at 10% profit and rest at 20% profit. His overall profit on selling these 100 bags was 14%. How many bags did he sell at 20% profit?a)40b)50c)60d)70Correct answer is option 'A'. Can you explain this answer?.
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