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In a solution of alcohol and  water having 40% alcohol, 220 litres of alcohol is further added such that the quanitiy of alcohol in the final solution is now 20 litres more than the quantity of water. What is the quantity of water in the final solution?

In a solution of alcohol and  water having 40% alcohol, 220 litres of alcohol is further added such that the quanitiy of alcohol in the final solution is now 20 litres more than the quantity of water. What is the quantity of water in the final solution? Correct Answer 600

Given:

In a solution of alcohol and  water having 40% alcohol, 220 litres of alcohol is further added such that the quanitiy of alcohol in the final solution is now 20 litres more than the quantity of

water.
Formula:

Final percentage of a quantity X = (Initial volume of X + added amount of X)/(Initial total volume + added amount)

Calculation:

Let the initial quantity of soluiton be x litres.

Quantity of alcohol = 0.4x

Quantity of water = 0.6x

After 220 litres of alcohol is added,

0.4x + 220 = 20 + 0.6x

⇒ 0.2x = 200

⇒ x = 1000

Quantity of water = 0.6x = 600 litres.

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