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Mixture Density and Percentage Volume

CAT 2019 Slot 1 · Quantitative Ability · Medium · Mixtures

This is a medium Quantitative Ability question from the CAT 2019 Slot 1 paper. It tests Mixtures. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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A chemist mixes two liquids 1 and 2. One litre of liquid 1 weighs 1 kg and one litre of liquid 2 weighs 800 gm. If half litre of the mixture weighs 480 gm, then the percentage of liquid 1 in the mixture, in terms of volume, is

  1. A.

    70

  2. B.

    85

  3. C.

    80

  4. D.

    75

Answer

C

Explanation

Density of Liquid 1 =1000 g/L= 1000\text{ g/L}. Density of Liquid 2 =800 g/L= 800\text{ g/L}. Density of mixture =480 g0.5 L=960 g/L= \frac{480\text{ g}}{0.5\text{ L}} = 960\text{ g/L}. By allegation / weighted average: Fraction of Liquid 1=960−8001000−800=160200=0.8=80%\text{Fraction of Liquid 1} = \frac{960 - 800}{1000 - 800} = \frac{160}{200} = 0.8 = 80\%.

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