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A 20% ethanol solution is mixed | Quantitative Aptitude – Arithmetic – Mixtures

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Arithmetic – Mixtures – A 20% ethanol solution is mixed…. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

CAT 2018 – Slot -2 - Question 4 - A 20% ethanol solution is mixed

Q. 4: A 20% ethanol solution is mixed with another ethanol solution, say, S of unknown concentration in the proportion 1:3 by volume. This mixture is then mixed with an equal volume of 20% ethanol solution. If the resultant mixture is a 31.25% ethanol solution, then the unknown concentration of S is

1. 52%
2. 50%
3. 55%
4. 48%

Let the volume of 20% ethanol solution in first mixtures = x so

Volume of S = 3x

Total volume of first solution = 4x

Total volume of final solution =2×4x=8x

Volume of ethanol solution in final mixture = x + 4x = 5x ,

So volume of S in final solution = 3x

Thus (31.25-20)/(s-31.25) = 3x/5x = 3/5

56.25=3s-93.75

3s=150

s=50%

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