Question : A 40 litres mixture contains 25% alcohol and 75% water. If 10 litres of water are added to the mixture, the percentage of alcohol in the new mixture is:
Option 1: 27%
Option 2: 18%
Option 3: 20%
Option 4: 25%
Correct Answer: 20%
Solution :
Initially, alcohol = 25% of 40 litres = $\frac{25}{100}×40$ = 10 litres
Now 10 litres of water is added.
The total volume of mixture = 40 + 10 = 50 litres
Percentage of alcohol in the mixture = $\frac{10}{50}\times 100 = 20\%$
Hence, the correct answer is 20%.
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