The ratio of milk and water in three samples is 1: 3, 3: 5 and 11: 5. A mixture containing equal quantities of all three samples is made. What will be the ratio of milk and water in the new mixture?
Let quantity of each sample is L.C.M. (4,8,16) = 16 unit
=> Milk in first sample = $$\frac{1}{(1+3)}\times16=4$$ unit
and water in first sample = $$16-4=12$$ units
Similarly, milk in second sample =Â $$\frac{3}{(3+5)}\times16=6$$ units and water = $$16-6=10$$ units
Milk in third sample =Â $$\frac{11}{(11+5)}\times16=11$$ units and water = $$16-11=5$$ units
$$\therefore$$ Ratio of milk and water in the new mixture = $$\frac{(4+6+11)}{(12+10+5)}$$
= $$\frac{21}{27}=\frac{7}{9}$$
=> Ans - (A)
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