Q.

How much pure alcohol must be added to Question Image of a Question Image solution to make its strength Question Image


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a

90 ml

b

100 ml

c

125 ml

d

60 ml 

answer is B.

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Detailed Solution

Concept- The idea of percentages will be applied in this question. The following equation describes the relationship between a substance's percentage and amount in a mixture:
Question ImageNow that we know that a 400 mL solution contains 15% alcohol at first, let's move on. Using the formula, we will first determine how much alcohol is present in the original solution. If there is v mL of alcohol, then-
Question ImageQuestion ImageThis is the initial alcohol content. Let's now imagine that the solution receives an addition of x ml of alcohol. The new volumes of the alcohol and solution are respectively 60+x and 400+x. It is assumed that this solution has a 32 percent strength. The resulting equation is as follows:
Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageTherefore, Question Image of alcohol should be added to make the strength Question ImageHence, the correct answer is option 2.
 Syllabus: CBSE
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