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A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?
- a)40 litres
- b)32 litres
- c)36 litres
- d)48 litres
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A vessel is full of a mixture of kerosene and petrol in which there is...
kerosene=18%
so petrol =82%
after kerosene =15%
petrol=85%
so 3% =8
lit so total kerosene in the mixture =(8*18/3) =48 lit
Most Upvoted Answer
A vessel is full of a mixture of kerosene and petrol in which there is...
Given information:
- A vessel is full of a mixture of kerosene and petrol.
- The mixture contains 18% kerosene.
- 8 litres are drawn off.
- The vessel is filled with petrol.
- The kerosene is now 15%.
To find: How much does the vessel hold?
Solution:
Let's assume that the vessel initially contains x litres of the mixture.
Step 1: Finding the amount of kerosene and petrol in the initial mixture
- The initial mixture contains 18% kerosene.
- So, the amount of kerosene in the mixture = 18% of x = 0.18x
- Similarly, the amount of petrol in the mixture = 82% of x = 0.82x
Step 2: Drawing off 8 litres of the mixture
- 8 litres are drawn off from the mixture.
- So, the amount of kerosene in the remaining mixture = 0.18x - 0.18(8) = 0.18x - 1.44
- Similarly, the amount of petrol in the remaining mixture = 0.82x - 0.82(8) = 0.82x - 6.56
Step 3: Filling the vessel with petrol
- The 8 litres drawn off from the mixture are replaced with petrol.
- So, the amount of petrol in the mixture becomes 0.82x - 6.56 + 8 = 0.82x + 1.44
Step 4: Finding the new percentage of kerosene in the mixture
- The kerosene is now 15% in the mixture.
- So, the amount of kerosene in the mixture = 15% of (x-8) = 0.15(x-8)
Step 5: Equating the amount of kerosene in the mixture
- The amount of kerosene in the mixture before and after the changes should be the same.
- So, 0.18x - 1.44 = 0.15(x-8)
- Solving the above equation, we get x = 48
Therefore, the vessel holds 48 litres of the initial mixture.
Answer: Option D (48 litres)
- A vessel is full of a mixture of kerosene and petrol.
- The mixture contains 18% kerosene.
- 8 litres are drawn off.
- The vessel is filled with petrol.
- The kerosene is now 15%.
To find: How much does the vessel hold?
Solution:
Let's assume that the vessel initially contains x litres of the mixture.
Step 1: Finding the amount of kerosene and petrol in the initial mixture
- The initial mixture contains 18% kerosene.
- So, the amount of kerosene in the mixture = 18% of x = 0.18x
- Similarly, the amount of petrol in the mixture = 82% of x = 0.82x
Step 2: Drawing off 8 litres of the mixture
- 8 litres are drawn off from the mixture.
- So, the amount of kerosene in the remaining mixture = 0.18x - 0.18(8) = 0.18x - 1.44
- Similarly, the amount of petrol in the remaining mixture = 0.82x - 0.82(8) = 0.82x - 6.56
Step 3: Filling the vessel with petrol
- The 8 litres drawn off from the mixture are replaced with petrol.
- So, the amount of petrol in the mixture becomes 0.82x - 6.56 + 8 = 0.82x + 1.44
Step 4: Finding the new percentage of kerosene in the mixture
- The kerosene is now 15% in the mixture.
- So, the amount of kerosene in the mixture = 15% of (x-8) = 0.15(x-8)
Step 5: Equating the amount of kerosene in the mixture
- The amount of kerosene in the mixture before and after the changes should be the same.
- So, 0.18x - 1.44 = 0.15(x-8)
- Solving the above equation, we get x = 48
Therefore, the vessel holds 48 litres of the initial mixture.
Answer: Option D (48 litres)
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A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?a)40 litresb)32 litresc)36 litresd)48 litresCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?a)40 litresb)32 litresc)36 litresd)48 litresCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?a)40 litresb)32 litresc)36 litresd)48 litresCorrect answer is option 'D'. Can you explain this answer?.
A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?a)40 litresb)32 litresc)36 litresd)48 litresCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?a)40 litresb)32 litresc)36 litresd)48 litresCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?a)40 litresb)32 litresc)36 litresd)48 litresCorrect answer is option 'D'. Can you explain this answer?.
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A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?a)40 litresb)32 litresc)36 litresd)48 litresCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?a)40 litresb)32 litresc)36 litresd)48 litresCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?a)40 litresb)32 litresc)36 litresd)48 litresCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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