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    A vessel contains a mixture of apple, orange and mango juices in the respective ratio of 3 : 5 : 4. 12 litre of this mixture is taken out and 8 litre of apple juice is added to the mixture. If the respective quantities of apple juice and orange juice in the vessel are equal, what was the initial quantity of mixture in the vessel? (in litre)

  • 60
  • 84
  • 96
  • 48
  • 72
  • Explanation:

    Suppose, the initial quantity of mixture in vessel

    =3x+5x+4x=12x

    The quantity of apple juice in 12 litre of mixture

    = 3 litre

    The quantity of orange juice in 12 litre of mixtrue

    = 5 litre

    ∴ The quantity of mango juice in 12 litre of mixture

    = 4 litre

    According to question,

    3x-3+8=5x-5

    2x=10

    x=5 litre


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