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A container contains a mixture of two liquids A and B in the ratio of 7 : 5. When 9 L of mixture is drawn off and the container is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the container initially ?
  • a)
    10    
  • b)
    20    
  • c)
    21    
  • d)
    25
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A container contains a mixture of two liquids A and B in the ratio of ...
Given:
Initial ratio of liquids A and B = 7 : 5
When 9 L of mixture is drawn off and the container is filled with B, new ratio of A and B becomes 7 : 9.

Let the quantity of mixture in the container be 12x litres.
7x litres of liquid A and 5x litres of liquid B are there in the container initially.

9 litres of the mixture is drawn off which contains 7/12 × 9 = 21/4 litres of A and 5/12 × 9 = 15/4 litres of B.

After 9 litres of mixture is drawn off, the quantity of mixture left in the container = 12x - 9.

Now, the container is again filled with liquid B. Let y litres of liquid B be added to the container.

So, the final quantity of liquid B in the container = 5x + y.

The final ratio of A and B = 7 : 9.
So, we have (7x - 21/4) : (5x + y) = 7/9.

On solving the above equation, we get y = 3x/2.

Therefore, the final quantity of liquid B in the container = 5x + 3x/2 = 11x/2.

Also, we know that the final quantity of mixture in the container = 12x - 9 + y = 12x - 9 + 3x/2 = 15x/2 - 9.

Now, we can write the equation:

Quantity of liquid A in the container initially/Quantity of liquid B in the container initially = 7/5

On solving the equation, we get the quantity of liquid A in the container initially = 21 litres.

Hence, the correct answer is option (c) 21.
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Community Answer
A container contains a mixture of two liquids A and B in the ratio of ...
A        B
7        5
7        9
4 unit — 9 liter
12 unit — 27 liter
Total amount of mixture = 27+9
= 36 liter
Amount of A 
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Read the given passage and answer the questions that follow:The cargo in the after-hold consisted almost entirely of opium. Under the battering of the storm, hundreds of chests had broken loose and splintered, spilling their contents. Earthenware containers of opium were crashing into the bulkheads like cannonballs. Opium, in this form, was of a mud-brown colour: although leathery to the touch, it dissolved when mixed and stirred with liquids. The Anahita’s builders had not been unmindful of this, and a great deal of ingenuity had been expended in trying to make the hold watertight. But the storm was shaking the vessel so hard that the joints between the planks had begun to ‘bleed’, letting in a slick of rain and bilge water. The wetness had weakened the hemp bindings that held the cargo in place and they had snapped; the chests had crashed into each other, spilling their contents into the sludge. Waves of this gummy, stinking liquid were now sweeping from side to side, breaking against the walls of the hold as the vessel rolled and lurched.Nothing like this had ever happened to Bahram before: he had ridden out many a storm, without having a consignment of opium run amuck as it had now. He liked to think of himself as a careful man and in the course of thirty-odd years in the China trade, he had evolved his own procedures for stacking the chests in which the drug was packed. The opium in the hold was of two kinds: about two-thirds of it was ‘Malwa’, from western India – a product that was sold in the shape of small, round cakes, much like certain kinds of jaggery. These were shipped without any protective covering, other than a wrapping of leaves and a light dusting of poppy ‘trash’. The rest of the shipment consisted of ‘Bengal’ opium, which had more durable packaging, with each cake of the drug being fitted inside a hard-shelled clay container, of about the shape and size of a cannonball. Every chest contained forty of these and each ball was nested inside a crib of poppy leaves, straw, and other remains from the harvest. The chests were made of mango wood and were certainly sturdy enough to keep their contents secure during the three or four weeks it usually took to sail from Bombay to Canton: breakages were rare, and damage, when it occurred, was generally caused by seepage and damp. To prevent this, Bahram generally left some space between the rows so that air could circulate freely between the chests.Over the years, Bahram’s procedures had proved their worth: through decades of travelling between India and China, he never had, in the course of a single voyage, had to write off more than a chest or two of his cargo. Experience had given him such confidence in his methods that he had not taken the trouble to check the hold when the Anahita was hit by the storm. It was the crashing of the runaway chests that had alerted the ship’s crew, who had then brought the problem to Vico’s attention.Q. According to the passage, what portion of the total shipment contained Bengal Opium which Bahram was shipping to china?

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A container contains a mixture of two liquids A and B in the ratio of 7 : 5. When 9 L of mixture is drawn off and the container is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the container initially ?a)10 b)20 c)21 d)25Correct answer is option 'C'. Can you explain this answer?
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A container contains a mixture of two liquids A and B in the ratio of 7 : 5. When 9 L of mixture is drawn off and the container is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the container initially ?a)10 b)20 c)21 d)25Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A container contains a mixture of two liquids A and B in the ratio of 7 : 5. When 9 L of mixture is drawn off and the container is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the container initially ?a)10 b)20 c)21 d)25Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A container contains a mixture of two liquids A and B in the ratio of 7 : 5. When 9 L of mixture is drawn off and the container is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the container initially ?a)10 b)20 c)21 d)25Correct answer is option 'C'. Can you explain this answer?.
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