A man buys 12 litres of Solution A which contains 20% of the liquid and the…
2024
A man buys 12 litres of Solution A which contains 20% of the liquid and the rest is water. He then mixes it with 10 litres of another Solution B with 30% of liquid. What is the % of water in the new mixture?
- A.
24.55 %
- B.
75.45 %
- C.
75.90 %
- D.
24.50 %
Attempted by 220 students.
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Correct answer: B
Solution:
For the first solution (12 L with 20% liquid): water percentage = 100% - 20% = 80%; water volume = (80/100) × 12 = 9.6 L.
For the second solution (10 L with 30% liquid): water percentage = 100% - 30% = 70%; water volume = (70/100) × 10 = 7 L.
Combine the two solutions: total volume = 12 + 10 = 22 L; total water = 9.6 + 7 = 16.6 L.
Percentage of water in the mixture = (16.6 / 22) × 100 = 75.4545...%, which rounds to 75.45%.