A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:Choices:- 1/3 2/3 2/5 3/5Save AnswerSkip this questionFinish Exam
Question
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:Choices:- 1/3 2/3 2/5 3/5Save AnswerSkip this questionFinish Exam
Solution
This problem can be solved using the method of allegation, which is a rule of mixtures to find the ratio in which two or more ingredients at a given price must be mixed to produce a mixture of a desired price.
Here are the steps:
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The first whisky has 40% alcohol and the second whisky has 19% alcohol. The mixture has 26% alcohol.
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The difference between the first whisky and the mixture is 40 - 26 = 14 parts.
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The difference between the second whisky and the mixture is 26 - 19 = 7 parts.
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So, the ratio of the first whisky to the second whisky in the mixture is 7 : 14, which simplifies to 1 : 2.
This means that 1/3 of the whisky was replaced, because 1 part was replaced out of a total of 3 parts (1 part replaced + 2 parts remaining).
So, the answer is 1/3.
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