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A mixture of 70 litres of alcohol and water contains 10% of water. How much water must be added to the above mixture to make the water 12.5% of the resulting mixture?
  • a)
    1 litre
  • b)
    1.5 litre
  • c)
    2 litres
  • d)
    2.5 litres
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A mixture of 70 litres of alcohol and water contains 10% of water. How...
Mixture = 70 L
Water =10% of mixture = 10% of 70 = 7 L.
Alcohol = 63 L.
Let x water added. Now, Water and Alcohol ratio will be,
(7 + x)/63 = 12.5/87.5
7 +x = 787.5/87.5
7 + x = 9
x = 2 L.
Water added = 2 L.
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Most Upvoted Answer
A mixture of 70 litres of alcohol and water contains 10% of water. How...
12.5% in fraction = 1\8
let the new quantity of water = x
therefore, water = 7+x and new mixture be 70+x and their ratio = 1\8
7+x\70+x =1\8
8(7+x)= 70+x
56 + 8x = 70+x 
7x = 14
x = 2
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Community Answer
A mixture of 70 litres of alcohol and water contains 10% of water. How...
Given:
- A mixture of 70 litres of alcohol and water contains 10% of water.

To find:
- How much water must be added to the above mixture to make the water 12.5% of the resulting mixture?

Solution:
Let's first find the amount of water in the initial mixture:
- Water = 10% of 70 litres = (10/100) x 70 litres = 7 litres
- Alcohol = 70 - 7 = 63 litres

Let's assume 'x' litres of water needs to be added to make the water 12.5% of the resulting mixture.
- Total amount of water in the resulting mixture = 7 + x litres
- Total amount of mixture = 70 + x litres

According to the question, the water should be 12.5% of the resulting mixture:
- (7 + x) = (12.5/100) x (70 + x)

Let's solve for 'x':
- 7 + x = (7/40) x (70 + x)
- 280 + 40x = 245 + 7x
- 33x = 35
- x = 35/33 litres

Therefore, the amount of water that needs to be added is:
- x = 1.06 litres (approx)
- Answer: Option (c) 2 litres

Note: The answer given in the question is incorrect. The correct answer is 1.06 litres (approx), which is closest to option (b) 1.5 litres. However, if we round off the answer to the nearest whole number, it becomes 1 litre.
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A mixture of 70 litres of alcohol and water contains 10% of water. How much water must be added to the above mixture to make the water 12.5% of the resulting mixture?a)1 litreb)1.5 litrec)2 litresd)2.5 litresCorrect answer is option 'C'. Can you explain this answer?
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A mixture of 70 litres of alcohol and water contains 10% of water. How much water must be added to the above mixture to make the water 12.5% of the resulting mixture?a)1 litreb)1.5 litrec)2 litresd)2.5 litresCorrect 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 of 70 litres of alcohol and water contains 10% of water. How much water must be added to the above mixture to make the water 12.5% of the resulting mixture?a)1 litreb)1.5 litrec)2 litresd)2.5 litresCorrect 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 of 70 litres of alcohol and water contains 10% of water. How much water must be added to the above mixture to make the water 12.5% of the resulting mixture?a)1 litreb)1.5 litrec)2 litresd)2.5 litresCorrect answer is option 'C'. Can you explain this answer?.
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