Solution -
Given,
The ratio of three mixtures of milk and water = (1 : 2), (2 : 3), (3 : 4)
Total quantities of mixture A = 1 + 2
= 3
Total quantities of mixture B = 2 + 3
= 5
Total quantities of mixture C = 3 + 4
= 7
Now,
Equal quantities of three mixtures of milk and water are mixed.
Then,
Take the L.C.M of 3, 5, 7 = 105
Lets,
Assume each mixture contains 105 units.
Ratio of mixture A = 1 : 2
Milk in mixture A = (105/3) × 1
= 35
Water in mixture A = (105/3) × 2
= 70
Ratio of mixture B = 2 : 3
Milk in mixture B = (105/5) × 2
= 42
Water in mixture B = (105/5) × 3
= 63
Ratio of mixture C = 3 : 4
Milk in mixture C = (105/7) × 3
= 45
Water in mixture C = (105/7) × 4
= 60
Therefore,
Overall mixture of Water and Milk = (70 + 63 + 60) : (35 + 42 + 45)
= 193 : 122
Thus,
The ratio of water and milk in the mixture is 193 : 122.
Hence,
The correct answer is option (a) 193 : 122.
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