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 A mixture contains A and B in the ratio 5 : 7. 24 litres of this mixture is taken out and 15 litres of A is poured in. Now the ratio of A to B becomes 10 : 7. Find the amount of B originally present in the mixture.
  • a)
    25 litres
  • b)
    45 litres
  • c)
    55 litres
  • d)
    40 litres
  • e)
    35 litres
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
A mixture contains A and B in the ratio 5 : 7. 24 litres of this mixtu...
E) 35 litres Explanation: Total = 5x+7x+24 = 12x+24 So 5x+15/7x = 10/7 Solve, x = 3 So total = 12*3 + 24 = 60 litres So B = 7/(5+7) * 60 = 35
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Most Upvoted Answer
A mixture contains A and B in the ratio 5 : 7. 24 litres of this mixtu...
Let's assume that the original amount of A in the mixture is 5x liters and the original amount of B is 7x liters.

24 liters of the mixture is taken out, so the remaining mixture will have (5x+7x-24) liters.

Then, 15 liters of A is poured in, so the new amount of A becomes (5x+15) liters.

The ratio of A to B in the new mixture is given as 10:7.

Therefore, we can set up the equation:

(5x+15)/(7x-24) = 10/7

Now, let's solve the equation to find the value of x.

Cross-multiplying the equation, we get:

7(5x+15) = 10(7x-24)

35x + 105 = 70x - 240

Simplifying the equation, we get:

35x - 70x = -240 - 105

-35x = -345

Dividing both sides of the equation by -35, we get:

x = 345/35

x ≈ 9.857

Since we are looking for the amount of B originally present in the mixture, we need to find the value of 7x.

7x = 7 * 9.857

7x ≈ 69

Therefore, the amount of B originally present in the mixture is approximately 69 liters.

Hence, the correct answer is option E: 35 liters.
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A mixture contains A and B in the ratio 5 : 7. 24 litres of this mixture is taken out and 15 litres of A is poured in. Now the ratio of A to B becomes 10 : 7. Find the amount of B originally present in the mixture.a)25 litresb)45 litresc)55 litresd)40 litrese)35 litresCorrect answer is option 'E'. Can you explain this answer?
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A mixture contains A and B in the ratio 5 : 7. 24 litres of this mixture is taken out and 15 litres of A is poured in. Now the ratio of A to B becomes 10 : 7. Find the amount of B originally present in the mixture.a)25 litresb)45 litresc)55 litresd)40 litrese)35 litresCorrect answer is option 'E'. 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 mixture contains A and B in the ratio 5 : 7. 24 litres of this mixture is taken out and 15 litres of A is poured in. Now the ratio of A to B becomes 10 : 7. Find the amount of B originally present in the mixture.a)25 litresb)45 litresc)55 litresd)40 litrese)35 litresCorrect answer is option 'E'. 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 mixture contains A and B in the ratio 5 : 7. 24 litres of this mixture is taken out and 15 litres of A is poured in. Now the ratio of A to B becomes 10 : 7. Find the amount of B originally present in the mixture.a)25 litresb)45 litresc)55 litresd)40 litrese)35 litresCorrect answer is option 'E'. Can you explain this answer?.
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