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In a vessel, there is a mixture of apple, orange and mango juices in the ratio of 3 : 5 : 4 respectively. A quantity of 12 litres from the…

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In a vessel, there is a mixture of apple, orange and mango juices in the ratio of 3 : 5 : 4 respectively. A quantity of 12 litres from the mixture is replaced by 8 litres of apple juice. Thereafter the quantities of apple and orange juices in the resultant mixtures become same. Find out the initial quantity of mixture in the vessel.
  • A90 litres
  • B70 litres
  • C60 litres
  • D80 litres
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Ratio of apple, orange and mango juices = 3 : 5 : 4

Let 12x is the initial quantity, so,

⇒ 3x – 3 + 8 = 5x – 5

⇒ 2x = 10

⇒ x = 5

∴ Initial quantity = 12 × 5 = 60 litres