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Q155. Two containers A and B contain a mixture of milk and water. Container A contains milk and water in the ratio 3:5, and milk in container B is 75%. The total quantity of mixture in container A and B is 500x liters and 400y liters. If mixture A is mixed with mixture B, then which statement(s) is/are sufficient to find the total quantity of container A (in liters)? I. The sum of the quantity of milk in containers A and B is 195 liters. II. The quantity of water in container A is 85 liters more than that of B. A) Either (I) alone or (II) alone B) Only (I) C) Only (II) D) Both (I) and (II) E) None of them

1. Either (I) alone or (II) alone
2. Only (I)
3. Only (II)
4. Both (I) and (II)
5. None of them

Correct answer: Both (I) and (II)

Solution

Container A has milk:water = 3:5, so its milk and water quantities are fixed fractions of its total. Container B has 75% milk, so its milk and water quantities are also fixed fractions of its total. Statement I gives one equation involving the two totals, and statement II gives another independent equation, so together they are sufficient.

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