When one litre of water is added to a mixture of acid and water, the new mixture contains 20% acid. When one litre of acid is added to the new mixture, then the resulting mixture contains $33\frac{1}{3}$% acid. The percentage of acid in the original mixture was
When one litre of water is added to a mixture of acid and water, the new mixture contains 20% acid. When one litre of acid is added to the new mixture, then the resulting mixture contains $33\frac{1}{3}$% acid. The percentage of acid in the original mixture was
A20 %
B22 %
C24 %
D25 %
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Correct answer is: 25 %
Explanation:
If there be 1 litre of acid in 4 litres of mixture, then in case 1,
Percentage of acid\(= \frac{1}{4+1} \times 100 = 20 \text{%}\)
Case ll.
Percentage of acid\(= \frac{2}{6} \times 100 = \frac{100}{3}=33\frac{1}{3}\text{%}\)
Therefore, Percentage of acid in original 1 mixture = \(= \frac{1}{4} \times 100 \)
\(= 25 \text{%}\)
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