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A vessel contained a solution of acid and water in which water was 64%.
Four litres of the solution were taken out of the vessel and the same
quantity of water was added. If the resulting solution contains 30% acid,
the quantity (in litres) of the solution, in the beginning in the vessel, was?
Most Upvoted Answer
A vessel contained a solution of acid and water in which water was 64%...
Given Information:
- Initial solution in the vessel contained 64% water.
- 4 litres of the solution were taken out.
- Same quantity of water was added.
- Resulting solution contains 30% acid.

Solution:

Step 1: Let's assume the initial quantity of the solution in the vessel is x litres.
- Since the solution contains 64% water, the quantity of acid in the initial solution = 100% - 64% = 36%
- Therefore, the quantity of acid in the initial solution = 0.36x litres

Step 2: After taking out 4 litres of the solution,
- The quantity of acid left in the vessel = 0.36x - 0.36*4 = 0.36x - 1.44 litres
- The quantity of water left in the vessel = x - 4 litres

Step 3: After adding 4 litres of water,
- The quantity of acid remains the same, i.e., 0.36x - 1.44 litres
- The quantity of water in the vessel = x - 4 + 4 = x litres

Step 4: Given that the resulting solution contains 30% acid,
- 30% of the resulting solution = 0.3x litres
- The quantity of acid in the resulting solution = 0.36x - 1.44 litres

Step 5: Setting up the equation,
- 0.36x - 1.44 = 0.3x
- 0.06x = 1.44
- x = 24

Therefore, the initial quantity of the solution in the vessel was 24 litres.
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A vessel contained a solution of acid and water in which water was 64%. Four litres of the solution were taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the solution, in the beginning in the vessel, was?
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A vessel contained a solution of acid and water in which water was 64%. Four litres of the solution were taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the solution, in the beginning in the vessel, was? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A vessel contained a solution of acid and water in which water was 64%. Four litres of the solution were taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the solution, in the beginning in the vessel, was? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel contained a solution of acid and water in which water was 64%. Four litres of the solution were taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the solution, in the beginning in the vessel, was?.
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