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A mixture contains alcohol and water in the ratio of 4 : 3. If 14 L of water is added to the mixture the ratio of Alcohol and water becomes 3 : 4, find the quantity of alcohol in the mixture.
  • a)
    35 L                         
  • b)
    18 L
  • c)
    24 L                         
  • d)
    29 L
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A mixture contains alcohol and water in the ratio of 4 : 3. If 14 L of...
Given:

Initial ratio of alcohol and water = 4 : 3

After adding 14 L of water, the new ratio becomes 3 : 4

Let the initial quantity of alcohol be 4x and water be 3x

After adding 14 L of water, the quantity of water becomes 3x + 14

New ratio of alcohol and water = 3 : 4

Therefore, quantity of alcohol = 3/7 * total quantity

To find the total quantity, we can use the fact that the quantity of water has increased by 14 L.

So,

3x + 14 = 4/7 * (4x + 3x + 14)

21x + 98 = 28x + 20

7x = 78

x = 11

Therefore, initial quantity of alcohol = 4x = 44 L

Hence, the correct answer is option C.
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Community Answer
A mixture contains alcohol and water in the ratio of 4 : 3. If 14 L of...
Let alcohol be 4x L and water be 3x L.
When 14L water is added ratio becomes 3:4
so now water becomes (3x+14) L.
Therefore , 4x/(3x+14) = 3/4
=>16x = 9x + 42 => 7x = 42 => x=6
Alcohol = 4x = 4*6 = 24L ,i.e, option c)
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A mixture contains alcohol and water in the ratio of 4 : 3. If 14 L of water is added to the mixture the ratio of Alcohol and water becomes 3 : 4, find the quantity of alcohol in the mixture.a)35 Lb)18 Lc)24 Ld)29 Le)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A mixture contains alcohol and water in the ratio of 4 : 3. If 14 L of water is added to the mixture the ratio of Alcohol and water becomes 3 : 4, find the quantity of alcohol in the mixture.a)35 Lb)18 Lc)24 Ld)29 Le)None of theseCorrect answer is option 'C'. 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 alcohol and water in the ratio of 4 : 3. If 14 L of water is added to the mixture the ratio of Alcohol and water becomes 3 : 4, find the quantity of alcohol in the mixture.a)35 Lb)18 Lc)24 Ld)29 Le)None of theseCorrect answer is option 'C'. 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 alcohol and water in the ratio of 4 : 3. If 14 L of water is added to the mixture the ratio of Alcohol and water becomes 3 : 4, find the quantity of alcohol in the mixture.a)35 Lb)18 Lc)24 Ld)29 Le)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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