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Two vessel P and Q contain milk and water in ratio 3 : 2 and 5 : 3 respectively. If 10 liters of the mixture is removed from vessels P and poured in vessel Q then ratio of milk to water in vessel Q becomes 8 : 5. Find the initial quantity of water in vessel Q.

Correct Answer: 10 lit

Explanation:

Given ratio of initial mixture of milk and water in Q = 5 : 3


Let the initial quantity of mixture in vessel Q = 8x


Let quantity of Milk = 5x and


Let quantity of water = 3x


According to the question,


5 x   +   10   x   3 5 3 x   +   10   x   2 5     =   8 5


=> 25x + 30 = 24x + 32


=> x = 2


Required Initial quantity of milk = 5x = 5 x 2 = 10 lit.


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