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A vessel contains a mixture of two liquids A and B in the ratio of 4:1. When 10 litres of the mixture is replaced with liquid B, the ratio becomes 2:3. How many litres of liquid A was present in the jar initially?
  • a)
    12 litres
  • b)
    14 litres
  • c)
    16 litres
  • d)
    10 litres
Correct answer is option 'C'. Can you explain this answer?
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A vessel contains a mixture of two liquids A and B in the ratio of 4:1...
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A vessel contains a mixture of two liquids A and B in the ratio of 4:1...
Let's assume that the initial amount of liquid A in the vessel is 4x litres and the initial amount of liquid B is x litres. Therefore, the total initial volume of the mixture is 4x + x = 5x litres.

When 10 litres of the mixture is replaced with liquid B, the volume of liquid A remains the same (4x litres) and the volume of liquid B becomes (x + 10) litres.

According to the question, the new ratio of liquid A to liquid B is 2:3. So, we can set up the equation:

4x / (x + 10) = 2 / 3

Cross-multiplying, we get:

12x = 2(x + 10)

Simplifying the equation, we have:

12x = 2x + 20

Subtracting 2x from both sides, we get:

10x = 20

Dividing both sides by 10, we have:

x = 2

Therefore, the initial amount of liquid A in the jar is 4x = 4 * 2 = 8 litres.

So, the correct answer is option C: 16 litres.
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A vessel contains a mixture of two liquids A and B in the ratio of 4:1. When 10 litres of the mixture is replaced with liquid B, the ratio becomes 2:3. How many litres of liquid A was present in the jar initially?a)12 litresb)14 litresc)16 litresd)10 litresCorrect answer is option 'C'. Can you explain this answer?
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A vessel contains a mixture of two liquids A and B in the ratio of 4:1. When 10 litres of the mixture is replaced with liquid B, the ratio becomes 2:3. How many litres of liquid A was present in the jar initially?a)12 litresb)14 litresc)16 litresd)10 litresCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A vessel contains a mixture of two liquids A and B in the ratio of 4:1. When 10 litres of the mixture is replaced with liquid B, the ratio becomes 2:3. How many litres of liquid A was present in the jar initially?a)12 litresb)14 litresc)16 litresd)10 litresCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel contains a mixture of two liquids A and B in the ratio of 4:1. When 10 litres of the mixture is replaced with liquid B, the ratio becomes 2:3. How many litres of liquid A was present in the jar initially?a)12 litresb)14 litresc)16 litresd)10 litresCorrect answer is option 'C'. Can you explain this answer?.
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