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A solution contains 40L of pure milk. 25% of his this is taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out. The total content taken out replaced with water. Find the ratio of milk to water in the final solution.
  • a)
    37:27
  • b)
    28:25
  • c)
    81:121
  • d)
    11:85
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A solution contains 40L of pure milk. 25% of his this is taken out. An...
Quantity of milk = 40L
When 25% solution is taken out =25/100 × 40 = 10 L
Remaining solution = 40 L – 10 L = 30 L
Now, again 25% of solution is taken out = 25/100 × 100 = 7.5 L
Remaining solution = 30 L – 7.5 L = 22.5 L
Now, further 25% of solution is taken out = 25/100 × 22.5 = 5.625 L
Remaining solution = 22.5 L – 5.625 L = 16.875 L
Total quantity taken out which is replaced by water = 40 L – 16.875 L = 23.125 L
Therefore, Required ratio = 23.125 : 16.875 = 37:27
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Most Upvoted Answer
A solution contains 40L of pure milk. 25% of his this is taken out. An...
Initial Solution
- The solution starts with 40L of pure milk.
First Extraction
- 25% of 40L is taken out:
- 25% of 40L = 10L
- Remaining milk = 40L - 10L = 30L
Second Extraction
- 25% of the remaining 30L is taken out:
- 25% of 30L = 7.5L
- Remaining milk = 30L - 7.5L = 22.5L
Third Extraction
- 25% of the remaining 22.5L is taken out:
- 25% of 22.5L = 5.625L
- Remaining milk = 22.5L - 5.625L = 16.875L
Total Milk Taken Out
- Total milk taken out = 10L + 7.5L + 5.625L = 23.125L
Final Solution Composition
- After all extractions, the remaining milk is 16.875L.
- 40L - 23.125L = 16.875L of milk remains.
- The total volume of the solution still remains 40L (since the taken-out milk is replaced with water).
- Amount of water added = 23.125L.
Ratio of Milk to Water
- Ratio of milk to water = Remaining milk : Water added
- Milk = 16.875L
- Water = 23.125L
- To find the ratio, we simplify:
- Milk : Water = 16.875 : 23.125
- Converting to simpler terms gives approximately 37:27.
Conclusion
- Thus, the final ratio of milk to water in the solution is 37:27, which corresponds to option 'A'.
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A solution contains 40L of pure milk. 25% of his this is taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out. The total content taken out replaced with water. Find the ratio of milk to water in the final solution.a)37:27b)28:25c)81:121d)11:85Correct answer is option 'A'. Can you explain this answer?
Question Description
A solution contains 40L of pure milk. 25% of his this is taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out. The total content taken out replaced with water. Find the ratio of milk to water in the final solution.a)37:27b)28:25c)81:121d)11:85Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A solution contains 40L of pure milk. 25% of his this is taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out. The total content taken out replaced with water. Find the ratio of milk to water in the final solution.a)37:27b)28:25c)81:121d)11:85Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solution contains 40L of pure milk. 25% of his this is taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out. The total content taken out replaced with water. Find the ratio of milk to water in the final solution.a)37:27b)28:25c)81:121d)11:85Correct answer is option 'A'. Can you explain this answer?.
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