The ratio of milk to water in three containers of equal capacity is 3 2 7 3 and 11 4 respectively Th...........

Quant (SSC) Mixture and Alligation

The ratio of milk to water in three containers of equal capacity is 3 : 2, 7 : 3 and 11 : 4 respectively. The three containers are mixed together. What is the ratio of milk to water after mixing?

21 : 9

41 : 18

61 : 29

38 : 8

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Explanation:

Let the capacity of each be ‘a’ litre
Then quantity of milk in container after mixing is
(3/5 + 7/10 + 11/15)a
= (3 × 6 + 7 × 3 + 11 × 2 /30)a
= (61/30)a
And quantity of water in container after mixing is
(2/5 + 3/10 + 4/15)a
= (29/30)a
⇒ required ratio of milk to water after mixing
(61/30)a / (29/30)a = 61:29