A vessel contains 32-litre solutions of acid and water in which the ratio of acid and water is 5:3. If 12 litres of the solution is taken out and 7.5 litres of water is added to it, then what is the ratio of acid and water in the resulting solution?
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Correct answer: B
Explanation
The correct answer is option 2 i.e. 5 : 6
Acid : water = 5 : 3
The total solution in the vessel = 32 litres
Acid quantity = 5/8 × 32 = 20 litres
Water quantity = 3/8 × 32 = 12 litres
After taking out 12 litres of the solution,
Quantity of acid = 5/8 × 20 = 12.5 litres
Quantity of water = 3/8 × 20 = 7.5 litres
Now, after adding 7.5 litres of water
The final quantity of acid = 12.5 litres
The final quantity of water = 15 litres
Hence, the ratio of acid : water = 12.5/15 = 5 : 6