If a dairy mixes cow’s milk which contains 10% fat with buffalo’s milk which contains
20% fat, then the resulting mixture has fat (120/7) % of fat. In what ratio was the
cow’s milk mixed with buffalo’s milk?
2 : 5
Apply alligation on fat percentages (cow 10, buffalo 20, mixture \(\tfrac{120}{7}\)):
\[\text{Cow : Buffalo} = \left(20-\tfrac{120}{7}\right):\left(\tfrac{120}{7}-10\right) = \tfrac{20}{7}:\tfrac{50}{7} = 20:50\]
Therefore the ratio is 2 : 5.
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