A vessel contains 79.99 liters mixture of milk and water in which milk is 50%…
2023
A vessel contains 79.99 liters mixture of milk and water in which milk is 50% more than water. 20.03 liters of mixture is taken out and 59.99 liters mixture of milk and water mixed in the remaining mixture into the vessel. If in the resultant mixture the milk becomes two times of the water, then find approximate quantity (in liters) of water added.
- A.
32
- B.
44
- C.
16
- D.
30
- E.
28
Attempted by 3 students.
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Correct answer: C
Approximate the initial mixture as 80 liters. Since milk is 50% more than water, milk : water = 3 : 2, so milk = 48 liters and water = 32 liters. Removing about 20 liters removes 12 liters of milk and 8 liters of water, leaving milk = 36 and water = 24. Let water in the added 60-liter mixture be x, so milk added is 60 - x. The final condition is 36 + 60 - x = 2(24 + x), giving x = 16 liters.