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Arun diluting a 100 litre 20% alcohol mixture by adding water. After the dilution, alcohol content decreased in the solution to 10%. How much water did he add to dilute the solution?
1. 50
2. 80
3. 100
4. 150

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Correct Answer - Option 3 : 100

Calculation:

Amount of Alcohol in the solution = 100 × (20/100) = 20 Litres

Let P be the added water,

⇒ (100 + P) × (10/100) = 20

⇒  100 + P = 200

⇒  P = 100 Litres

If a mixture of Q1 quantity C1% content is mixing with Q2 quantity C2% mixture, and the concentration of the new mixture is Cnew% , then the following equation can be used

C1% of Q1 + C2% of Q2 = Cnew% of (Q1 + Q2)

⇒ C1Q1 + C2Q2 = Cnew(Q1 + Q2)

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