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A bottle contains 10 litres of Milk. 2 litres of Milk is taken out of it and replaced by same quantity of Water. Again 2 litres of the mixture is taken out and replaced by same quantity of Water. What is the ratio of quantity of water to that of Milk in the final mixture?
  • a)
    16 : 19
  • b)
    9 : 16
  • c)
    5 : 4
  • d)
    4 : 5
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A bottle contains 10 litres of Milk. 2 litres of Milk is taken out of ...
Initial Setup
- Start with 10 litres of milk in the bottle.
First Replacement
- 2 litres of milk is removed:
- Remaining milk = 10 - 2 = 8 litres
- Add 2 litres of water:
- Total mixture = 8 litres of milk + 2 litres of water = 10 litres
Concentration After First Replacement
- Concentration of milk after first replacement:
- Milk = 8 litres
- Water = 2 litres
Second Replacement
- Take out 2 litres of the mixture (which contains both milk and water):
- The ratio of milk to water in the mixture = 8:2 or 4:1
- Total parts = 5 (4 parts milk + 1 part water)
- Amount of milk in 2 litres taken out:
- Milk taken out = (4/5) * 2 = 1.6 litres
- Amount of water in 2 litres taken out:
- Water taken out = (1/5) * 2 = 0.4 litres
Final Quantities
- Remaining milk = 8 - 1.6 = 6.4 litres
- Remaining water = 2 - 0.4 = 1.6 litres
- Add 2 litres of water to the mixture:
- Total water = 1.6 + 2 = 3.6 litres
Final Ratio of Water to Milk
- Final quantities:
- Milk = 6.4 litres
- Water = 3.6 litres
- Ratio of water to milk:
- Water : Milk = 3.6 : 6.4
- Simplifying this gives = 9 : 16
Correct Answer
- The final ratio of quantity of water to that of milk in the mixture is 9 : 16. Thus, the correct option is b.
Free Test
Community Answer
A bottle contains 10 litres of Milk. 2 litres of Milk is taken out of ...
Yes it is 9:16...
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Question Description
A bottle contains 10 litres of Milk. 2 litres of Milk is taken out of it and replaced by same quantity of Water. Again 2 litres of the mixture is taken out and replaced by same quantity of Water. What is the ratio of quantity of water to that of Milk in the final mixture?a)16 : 19b)9 : 16c)5 : 4d)4 : 5Correct answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A bottle contains 10 litres of Milk. 2 litres of Milk is taken out of it and replaced by same quantity of Water. Again 2 litres of the mixture is taken out and replaced by same quantity of Water. What is the ratio of quantity of water to that of Milk in the final mixture?a)16 : 19b)9 : 16c)5 : 4d)4 : 5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bottle contains 10 litres of Milk. 2 litres of Milk is taken out of it and replaced by same quantity of Water. Again 2 litres of the mixture is taken out and replaced by same quantity of Water. What is the ratio of quantity of water to that of Milk in the final mixture?a)16 : 19b)9 : 16c)5 : 4d)4 : 5Correct answer is option 'B'. Can you explain this answer?.
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