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A bucket contains a mixture of two liquids A and B in the proportion 5: 7 . If 6 litres of the mixture is replaced by 6 litres of liquid B, then the ratio of the two liquids becomes 3 : 5. How much of the liquid B was there in the Bucket initially?
  • a)
    42 litre
  • b)
    44 litre
  • c)
    45 litre
  • d)
    35 litre
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
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A bucket contains a mixture of two liquids A and B in the proportion 5...
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A bucket contains a mixture of two liquids A and B in the proportion 5...
Let's assume the initial quantity of the mixture in the bucket is x litres, out of which 5x/12 litres is liquid A and 7x/12 litres is liquid B.

1. Initial Ratio of Liquids
- Liquid A: 5x/12 litres
- Liquid B: 7x/12 litres

2. Replacement Process
- 6 litres of the mixture is replaced by 6 litres of liquid B.
- Since the replacement is done with liquid B, the quantity of liquid A remains the same.
- Therefore, the quantity of liquid B in the mixture after replacement is (7x/12 + 6) litres.

3. Final Ratio of Liquids
- Liquid A: 5x/12 litres (unchanged)
- Liquid B: (7x/12 + 6) litres

According to the question, the final ratio of the two liquids is 3:5. Therefore, we can write the following equation:

(5x/12) / (7x/12 + 6) = 3/5

To solve this equation, we can cross-multiply:

5x/12 = 3(7x/12 + 6)

Simplifying the equation:

5x = 3(7x + 72)

5x = 21x + 216

21x - 5x = 216

16x = 216

x = 216/16

x = 13.5

Since x represents the initial quantity of the mixture in the bucket, the amount of liquid B initially present in the bucket is:

7x/12 = 7(13.5)/12 = 7(9/2) = 63/2 = 31.5 litres

Since there cannot be half litres, we can round it to the nearest whole number, which is 32 litres.

Therefore, the correct answer is option D) 32 litres.
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A bucket contains a mixture of two liquids A and B in the proportion 5: 7 . If 6 litres of the mixture is replaced by 6 litres of liquid B, then the ratio of the two liquids becomes 3 : 5. How much of the liquid B was there in the Bucket initially?a)42 litreb)44 litrec)45 litred)35 litree)None of theseCorrect answer is option 'D'. Can you explain this answer?
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A bucket contains a mixture of two liquids A and B in the proportion 5: 7 . If 6 litres of the mixture is replaced by 6 litres of liquid B, then the ratio of the two liquids becomes 3 : 5. How much of the liquid B was there in the Bucket initially?a)42 litreb)44 litrec)45 litred)35 litree)None of theseCorrect answer is option 'D'. 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 bucket contains a mixture of two liquids A and B in the proportion 5: 7 . If 6 litres of the mixture is replaced by 6 litres of liquid B, then the ratio of the two liquids becomes 3 : 5. How much of the liquid B was there in the Bucket initially?a)42 litreb)44 litrec)45 litred)35 litree)None of theseCorrect answer is option 'D'. 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 bucket contains a mixture of two liquids A and B in the proportion 5: 7 . If 6 litres of the mixture is replaced by 6 litres of liquid B, then the ratio of the two liquids becomes 3 : 5. How much of the liquid B was there in the Bucket initially?a)42 litreb)44 litrec)45 litred)35 litree)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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