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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?
Verified Answer
A grain trader has 100 bags of rice. He sold some bags at 10% profit a...
Let the amount of bags sold at 20% profit be x
The average profit = Weighted average of bags sold at 10% and 20% profit
⇒ 14 = [(100 – x) × 10 + x × 20]/100
⇒ 1400 = 1000 + 10x
⇒ 400 = 10
∴ x = 40
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Most Upvoted Answer
A grain trader has 100 bags of rice. He sold some bags at 10% profit a...
To find out how many bags were sold at a 20% profit, we can use a system of equations. Let's assume that the number of bags sold at a 10% profit is x, and the number of bags sold at a 20% profit is y.

1. Formulating the first equation based on the total number of bags:
x + y = 100

2. Formulating the second equation based on the overall profit:
(10% of x) + (20% of y) = 14% of 100

Now, let's solve the system of equations to find the values of x and y.

1. Solving the first equation for x:
x = 100 - y

2. Substituting the value of x into the second equation:
(10/100)(100 - y) + (20/100)y = (14/100)(100)

Simplifying the equation:
10(100 - y) + 20y = 14(100)
1000 - 10y + 20y = 1400
10y = 400
y = 40

Therefore, the grain trader sold 40 bags at a 20% profit.
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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 Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence 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 Defence 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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