Two containers A and B contains mixture of milk and water. Container A…
2024
Two containers A and B contains mixture of milk and water. Container A contains milk & water in the ratio of 3:5 and milk in container B is 75%. The total quantity of mixture in container A to B is 500x liters & 400y liters. If mixture A is mixed with mixture B, then which statement (s) is/are sufficient/necessary to find the total quantity of container A (in liters).
I. The sum of quantity of milk in container 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
Attempted by 5 students.
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Correct answer: D
Let the quantities in containers A and B be 500x and 400y litres. Milk in A is 3/8 of 500x and milk in B is 75% of 400y.
Statement I gives one equation in x and y, and statement II also gives one equation in x and y. Either statement alone is insufficient.
Together, the two independent equations determine x and y, so the quantity of container A can be found.