A vessel which contains a mixture of acid and water in ratio 13 4 25 5 litres of mixture is taken ou...........

Quant (SSC) Mixture and Alligation

A vessel which contains a mixture of acid and water in ratio 13:4. 25.5 litres of mixture is taken out from the vessel and 2.5 litres of pure water and 5 litres of acid is added to the mixture. If resultant mixture contains 25% water, what was the initial quantity of mixture in the vessel before the replacement in litres?

58 litre

68 litre

78 litre

48 litre

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Explanation:

Quantity of Acid = 13x
Quantity of water = 4x
Total = 17x
Resultant Mixture = 17x – 25.5 + 2.5 + 5 = 17x – 18
Resultant water = 4x – 25.5 * (4/17) + 2.5 = 4x – 3.5
Resultant mixture contains 25% water
(17x – 18)*25/100 = 4x – 3.5
x = 4
Initial quantity = 17*4 = 68