CAT 2019 Quant Question with Solution 22

Question:
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. 85
  2. 70
  3. 75
  4. 80
Show Answer

Correct Answer: Option: 4

Weight of liquid 1 per litre = 1000 gm

Weight of liquid 2 per litre = 800 gm

Weight of mixture per litre = 2×480=960 gm

Applying alligation rule

$\frac{Quantity\ of\ liquid\ 1}{Quantity\ of\ liquid\ 2}=\frac{960-800}{1000-960}=\frac{4}{1}$

Therefore, the liquids are mixed in 4:1.

Hence, the percentage of liquid 1 =$\left( \frac{4}{4+1} \right)\times 100=80%$


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