Vessel contains liters mixture of milk and water in the

2025

A vessel contains 72 liters mixture of milk and water in the ratio of 5 : 3 respectively. 40 liters mixture is taken out and x liters of pure milk added in the remaining mixture. If the quantity of milk becomes 7 times of the water in the final mixture, then find the value of x?

  1. A.

    72

  2. B.

    48

  3. C.

    68

  4. D.

    60

  5. E.

    64

Attempted by 23 students.

Show answer & explanation

Correct answer: E

Initial mixture is 72 liters with milk:water = 5:3, so milk = 45 liters and water = 27 liters.

After removing 40 liters, 32 liters remain with milk = 20 liters and water = 12 liters.

After adding x liters of pure milk, (20 + x) : 12 = 7 : 1, so 20 + x = 84 and x = 64.

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