A vessel contains a mixture of grape, pineapple and banana juices in the respective ratio of 4 : 6 : 5. 15 litre of this mixture is taken out and 8 litre of grape juice and 2 litre of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litre less than the resultant quantity of pineapple juice, what was the initial quantity of mixture in the vessel ?
Correct Answer: Description for Correct answer:
Suppose, the initial quantity of mixture in the vessel = 4x + 6x + 5x = 15x litre
The quantity of grape juice in 15 litre of mixture = 4 litre
The quantity of pineapple juice in 15 litre of mixture = 6 litre
The quantity of banana shake in 15 litre of mixture = 5 litre
According to question,
(6x-6+2)-(4x-4+8)=10
=> 6x-4-4x-4=10
= 2x = 10 + 8
= 2x = 18
x = 9
The initial quantity of mixture =15x9=135Litre
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