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How much water is to be added to 75 ml of alcohol, so that the mixture contains 20% of alcohol?
Question

How much water is to be added to 75 ml of alcohol, so that the mixture contains 20% of alcohol?

A.

100 ml

B.

300 ml

C.

250 ml

D.

125 ml

Correct option is B

Given:
Volume of alcohol = 75 ml

Required alcohol percentage in final mixture = 20%

We need to find the amount of water to be added.

Formula Used:
Let total volume of the final mixture be x ml.
Since alcohol is 20% of the final mixture:

Alcohol VolumeTotal Mixture Volume=Required Alcohol Percentage100\frac{\text{Alcohol Volume}}{\text{Total Mixture Volume}} = \frac{\text{Required Alcohol Percentage}}{100}​​

Solution:

75x=20100\frac{75}{x} = \frac{20}{100}

75×100=20x7500=20xx=750020=37575 \times 100 = 20x \\7500 = 20x \\x = \frac{7500}{20} = 375

Water to be added=x75=37575=300\text{Water to be added} = x - 75 = 375 - 75 = 300

​​​​

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