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The ratio of milk and water in the mixture of a vessel is 5:4. If 27 litres of that mixture is…

The initial volume is 135 litres. If the volume is V, the original milk volume is 5V/9, and removing 27 litres removes 15 litres of milk. After adding water, milk is 4V/9,…

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The ratio of milk and water in the mixture of a vessel is 5:4. If 27 litres of that mixture is separated from it and water is added by the same amount to the vessel, the ratio of milk and water now becomes 4 : 5. The volume of the mixture initially contained in that vessel (in litres) is:

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Correct answer B

The initial volume is 135 litres. If the volume is V, the original milk volume is 5V/9, and removing 27 litres removes 15 litres of milk. After adding water, milk is 4V/9, so 5V/9 - 15 = 4V/9, giving V = 135.

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