From 40 liters of 2: 3 milk-water solutions, 5 liters are withdrawn and replaced by 5 liters of water. Now, 8 liters are withdrawn and replaced by 8 liters of water. Finally, 10 liters are withdrawn and replaced by 10 liters of water. What is the ratio of water to milk in the solution now?

  • Option 1)

    21: 79

  • Option 2)

    79 : 21

  • Option 3)

    2 : 6

  • Option 4)

    1 : 4

  • Option 5)

    4 : 9

Answers (1)

40 L solution = milk = 2/5 x 40 = 16 L

Water = 16 liters

5 L withdrawn means = 5/40 =1/8 part taken out

Means = 1/8 x16 and 1/8 of 24 L = 2L milk and 3 L water

Now milk = 14 L

Water = 21 L

5L water added = 14 L , 26 water

8L withdrawn = 1/5th part = 1/5 x 14 = 2.8 milk

=1/5x 26 = 5.2 L water

Now milk = 11.2 liter

Water = 20.8 liter

8 L added = milk = 11.2 L , W = 28.8 L

Now 10 L taken out = milk= 11.2 – 1/4 x11.2, water 28.8 -28.8 x ¼

M= 8.4L

W= 21.6L

10 L added M= 8.4 L

W= 31.6 L

Ratio= 31.6:8.4 = 79:21

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