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A vessel contains 60 litres of milk. 12 litres of milk taken out from it and replaced by water. Then again from mixture, 12 litres are again taken out and replaced by water. The ratio of milk and  water in the resultant mixture is:    (SSC CHSL 1st Sit. 2015)
  • a)
    16 : 10
  • b)
    9 : 5
  • c)
    15 : 10
  • d)
    16 : 9
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A vessel contains 60 litres of milk. 12 litres of milk taken out from ...
Initial Calculation:
- Initially, the vessel contains 60 litres of milk

First Replacement:
- 12 litres of milk is taken out and replaced by water
- So, the amount of milk left = 60 - 12 = 48 litres
- Water added = 12 litres
- Total mixture = 48 + 12 = 60 litres

Second Replacement:
- 12 litres of mixture is taken out and replaced by water
- So, the amount of milk left = 48 - (12/60 * 48) = 48 - 9.6 = 38.4 litres
- Water added = 12 litres
- Total mixture = 38.4 + 12 = 50.4 litres

Final Ratio:
- Ratio of milk to water = 38.4 : 12 = 16 : 9
Therefore, the ratio of milk to water in the resultant mixture is 16 : 9.
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Community Answer
A vessel contains 60 litres of milk. 12 litres of milk taken out from ...
12l of milk taken out of 60l milk. So, 20% water is added to milk
Milk = 48l ; Water = 12l
Now, again 20% water is added to this mixture

So, ratio of milk and water = 38.4 : 21.6 = 16 : 9
Alternate Method:
Final Volume of milk = Initial volume
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A vessel contains 60 litres of milk. 12 litres of milk taken out from it and replaced by water. Then again from mixture, 12 litres are again taken out and replaced by water. The ratio of milk and water in the resultant mixture is: (SSC CHSL 1st Sit. 2015)a)16 : 10b)9 : 5c)15 : 10d)16 : 9Correct answer is option 'D'. Can you explain this answer?
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