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A can is full of a mixture of a two liquids A and B in the ratio of 7 : 5. When 9 litres of mixture are drawn off from the can and replaced by the same quantity of liquid B, the ratio of A and B in the can becomes 7 : 9. The capacity of the can initially was    (SSC Sub. Ins. 2016)
  • a)
    10 litres
  • b)
    21 litres
  • c)
    20 litres
  • d)
    36 litres
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A can is full of a mixture of a two liquids A and B in the ratio of 7 ...
Suppose, the can initially contains 7x and 5x of volume of a mixtures of A and B of volume respectively.
ATQ

⇒ 252 x – 189 = 140x + 147
⇒ 112x = 336 ⇒ x = 3
So, the can contained 21 litres of A initially.
Free Test
Community Answer
A can is full of a mixture of a two liquids A and B in the ratio of 7 ...
Given data:
- Initial ratio of liquids A and B in the can = 7 : 5
- After drawing off and replacing with liquid B, the ratio becomes 7 : 9

Let's calculate the initial capacity of the can:
Let the capacity of the can be x litres.

Calculating the quantities of A and B initially:
- Quantity of A = 7x / (7+5) = 7x / 12
- Quantity of B = 5x / (7+5) = 5x / 12

Calculating quantities after the operation:
- Quantity of A after the operation = 7x / 12 - 9
- Quantity of B after the operation = 5x / 12 + 9

Given that the new ratio of A and B is 7 : 9:
- (7x / 12 - 9) / (5x / 12 + 9) = 7 / 9
- Solving the above equation, we get x = 21
Therefore, the initial capacity of the can was 21 litres.
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A can is full of a mixture of a two liquids A and B in the ratio of 7 : 5. When 9 litres of mixture are drawn off from the can and replaced by the same quantity of liquid B, the ratio of A and B in the can becomes 7 : 9. The capacity of the can initially was (SSC Sub. Ins. 2016)a)10 litresb)21 litresc)20 litresd)36 litresCorrect answer is option 'B'. Can you explain this answer?
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