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A bucket contains a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?
- a)56 litres, 70 litres
- b)14 litres, 70 litres
- c)65 litres, 72 litres
- d)18 litres, 90 litres
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A bucket contains a mixture of two liquids A and B in the proportion 4...
Let the quantity of A = 4x
Most Upvoted Answer
A bucket contains a mixture of two liquids A and B in the proportion 4...
Solution:
Let's assume that the initial quantity of the mixture in the bucket is 5x liters, where 4x liters is liquid A and x liters is liquid B.
After replacing 45 liters of the mixture with liquid B, the new quantity of liquid B in the mixture becomes x + 45 liters.
We are given that the new ratio of the two liquids is 2 : 5, so we can form the equation:
((4x) / (x + 45)) = 2/5
Simplifying the equation:
Cross-multiplying, we get:
5(4x) = 2(x + 45)
20x = 2x + 90
20x - 2x = 90
18x = 90
x = 90 / 18
x = 5
Calculating the quantity of liquid B:
So the initial quantity of liquid B in the bucket is 5 liters.
Calculating the total quantity held by the bucket:
The initial quantity of the mixture in the bucket is 5x, which is 5 * 5 = 25 liters.
Therefore, the bucket holds 25 liters of the mixture.
Hence, the correct answer is option B) 14 liters of liquid B and the bucket holds 70 liters.
Let's assume that the initial quantity of the mixture in the bucket is 5x liters, where 4x liters is liquid A and x liters is liquid B.
After replacing 45 liters of the mixture with liquid B, the new quantity of liquid B in the mixture becomes x + 45 liters.
We are given that the new ratio of the two liquids is 2 : 5, so we can form the equation:
((4x) / (x + 45)) = 2/5
Simplifying the equation:
Cross-multiplying, we get:
5(4x) = 2(x + 45)
20x = 2x + 90
20x - 2x = 90
18x = 90
x = 90 / 18
x = 5
Calculating the quantity of liquid B:
So the initial quantity of liquid B in the bucket is 5 liters.
Calculating the total quantity held by the bucket:
The initial quantity of the mixture in the bucket is 5x, which is 5 * 5 = 25 liters.
Therefore, the bucket holds 25 liters of the mixture.
Hence, the correct answer is option B) 14 liters of liquid B and the bucket holds 70 liters.
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A bucket contains a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A bucket contains a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. 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 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. 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 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. Can you explain this answer?.
A bucket contains a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. 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 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. 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 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A bucket contains a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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Here you can find the meaning of A bucket contains a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A bucket contains a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A bucket contains a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A bucket contains a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold?a)56 litres, 70 litresb)14 litres, 70 litresc)65 litres, 72 litresd)18 litres, 90 litrese)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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