CAT Practice : Averages, Ratios, Mixtures

When we mix two mixtures in a particular ratio, we get a third mixture. Given the third mixture how does one find the ratio in which they were mixed.

Alligation

Q.35: A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?
1. 40 l
2. 30 l
3. 50 l
4. 36 l

Choice A. 40 l

Detailed Solution

Therefore, Mixture : Methanol = 3 : 1
So, for 10 litres of methanol, 30 l of Mixture is needed. So, total capacity = (30 + 10) l = 40 l

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