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A cane contains a mixture of two liquids 'A' and 'B' in the ratio 7 : 5. When 9 liters of mixture are drawn off and the cane is filled with 'B', the ratio of 'A' and 'B' becomes 7 : 9 liters. Liter of Liquid 'A' contained by the cane initially was?
  • a)
    10 Liter
  • b)
    20 Liter
  • c)
    21 Liter
  • d)
    25 Liter
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A cane contains a mixture of two liquids 'A' and 'B' in the ratio 7 :...
According to the question
4 units = 9 litres
1 unit = 9/4 litres
12 units = 94×12 = 27 litres
Initially solution was = 27+9 = 36litres
Quantity of liquid 'A' initially = ‘712×36 = 21 litres
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Most Upvoted Answer
A cane contains a mixture of two liquids 'A' and 'B' in the ratio 7 :...
Solution:

Let's assume that the cane initially contains 7x and 5x liters of liquids A and B respectively.

Step 1: Calculation before drawing off 9 liters of mixture

The total volume of the mixture = 7x + 5x = 12x liters

Therefore, the volume of liquid A = 7x liters

Step 2: Calculation after drawing off 9 liters of mixture

When 9 liters of the mixture are drawn off, the volume of liquid A in the remaining mixture is still 7x. Therefore, the volume of liquid B in the remaining mixture = (12x - 7x) = 5x.

Now, the 9 liters of drawn mixture is replaced with liquid B. Therefore, the total volume of the mixture = (12x - 9) + 9 = 12x liters.

Step 3: Calculation after replacement

The volume of liquid B in the new mixture = (5x + 9) liters

Now, we are given that the ratio of liquid A and liquid B in the new mixture is 7 : 9.

Therefore, 7x : (5x + 9) = 7 : 9

Solving this equation, we get:

63x = 35x + 63

28x = 63

x = 63/28

x = 2.25

Step 4: Calculation of the volume of liquid A initially

The volume of liquid A initially = 7x = 7(2.25) = 15.75 liters

Therefore, the answer is option C) 21 liters.

Final Answer: 21 Liter
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A cane contains a mixture of two liquids 'A' and 'B' in the ratio 7 : 5. When 9 liters of mixture are drawn off and the cane is filled with 'B', the ratio of 'A' and 'B' becomes 7 : 9 liters. Liter of Liquid 'A' contained by the cane initially was?a)10 Literb)20 Literc)21 Literd)25 LiterCorrect answer is option 'C'. Can you explain this answer?
Question Description
A cane contains a mixture of two liquids 'A' and 'B' in the ratio 7 : 5. When 9 liters of mixture are drawn off and the cane is filled with 'B', the ratio of 'A' and 'B' becomes 7 : 9 liters. Liter of Liquid 'A' contained by the cane initially was?a)10 Literb)20 Literc)21 Literd)25 LiterCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A cane contains a mixture of two liquids 'A' and 'B' in the ratio 7 : 5. When 9 liters of mixture are drawn off and the cane is filled with 'B', the ratio of 'A' and 'B' becomes 7 : 9 liters. Liter of Liquid 'A' contained by the cane initially was?a)10 Literb)20 Literc)21 Literd)25 LiterCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cane contains a mixture of two liquids 'A' and 'B' in the ratio 7 : 5. When 9 liters of mixture are drawn off and the cane is filled with 'B', the ratio of 'A' and 'B' becomes 7 : 9 liters. Liter of Liquid 'A' contained by the cane initially was?a)10 Literb)20 Literc)21 Literd)25 LiterCorrect answer is option 'C'. Can you explain this answer?.
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