Vessel X initially contains a mixture of milk and water in the ratio 5 : 4 5:4 5 : 4 . When $9$ litres of this mixture is taken out, $20$ litres of an...

Question

Vessel X initially contains a mixture of milk and water in the ratio 5:45:4. When $9$ litres of this mixture is taken out, $20$ litres of another mixture from vessel Y, which has milk and water in the ratio 3:23:2, is added to the remaining mixture in vessel X. After this operation, the ratio of milk to water in vessel X becomes 4:34:3. What was the initial quantity of the mixture in vessel X?

Options

A.

120 liters120 \text{ liters}

B.

60 liters60 \text{ liters}

C.

45 liters45 \text{ liters}

D.

90 liters90 \text{ liters}

E.

80 liters80 \text{ liters}

mixtureratioalligationalgebra

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