A vessel contains a mixture of milk and water in the respective ratio 3:1. 32 litre of mixture was taken out and replaced with the same quantity of milk so that the resultant ratio between the quantities of milk and water in the mixture was 4 : 1 respectively. If 10 litre of mixture is again taken out from the vessel. What is the resultant quantity of water in the mixture ? (in litre)

  • 24
  • 30
  • 20
  • 36
  • 32
  • Explanation:

    Let the total quantity of mixture = x litre

    According to question, 4/4+1=(x-32/x)

    4x = 5x-160

    x = 160 litre

    The quantity of milk in mixture = 160 ×3/4

    = 120 litre

    The quantity of water in mixture = 160×¼= 40 litre

    32 litre of mixture was taken out and replaced with the same quantity of milk.

    Then, the quantity of milk in mixture

    = 120-32×¾+32

    = 120 -24+32

    = 128 litre

    The quantity of water in mixture = 40-32×¼ = 40-8

    = 32 litre

    New ratio of milk and water = 128:32 = 4:1

    After 10 litres of mixture is again taken out from the vessel, The resultant quantity of water in the mixture = 32-10×1/5 = 32-2

    = 30 litre

     

     


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A vessel contains a mixture of milk and water in the respective ratio 3:1. 32 litre of mixture was t
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