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.

Answer: B. 108Initial 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…

  1. A.

    116

  2. B.

    108

  3. C.

    102

  4. D.

    112

  5. E.

    114

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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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