In a vessel water is 25% of the milk. When 10 liters of mixture was taken out…

2022

In a vessel water is 25% of the milk. When 10 liters of mixture was taken out from the vessel and 25 liters’ milk was added in the vessel, then quantity of milk become 400% more than the quantity of water in resulting mixture. Find the initial quantity (in liters) of milk in the vessel.

  1. A.

    116

  2. B.

    108

  3. C.

    102

  4. D.

    112

  5. E.

    114

Attempted by 3 students.

Show answer & explanation

Correct answer: B

Initial water is 25% of milk. Let milk be M and water be 0.25M. Removing 10 litres removes 8 litres milk and 2 litres water. After adding 25 litres milk, milk = M + 17 and water = 0.25M - 2. Since milk is 400% more than water, M + 17 = 5(0.25M - 2), so M = 108.

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