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In a wine, 40% is alcohol and the rest is water. Some quantity of wine is taken out and is replaced with the same quantity of another wine containing 25% alcohol. Now the bottle contains 30% alcohol. Find what part of the wine was taken out of the bottle?

In a wine, 40% is alcohol and the rest is water. Some quantity of wine is taken out and is replaced with the same quantity of another wine containing 25% alcohol. Now the bottle contains 30% alcohol. Find what part of the wine was taken out of the bottle? Correct Answer 2/3

Given:

In a wine, 40% is alcohol and the rest is water

Another wine contains 25% alcohol

Calculation:

Let the wine be of 1000 ml

So alcohol in it will be 400 ml

To make it 30% we have to make alcohol content = 300 ml by mixing 25% wine

Let 100x quantity of solution is taken out and replaced with 25% solution.

total wine content = 40% of (1000 - 100x) + 25 % of 100 x

= 400 - 40x + 25x = 400 -15x

This should be equal to 300

15x = 100 

x = 100/15

100x = 100 × 100/15 = 10000/15 = 666.66

666.66 out of 1000 ml is taken out 

⇒ 2/3 part is taken out

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