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A Container contains 192 liter of Milk. A seller draws out x% of Milk and replaced it with the same quantity of water. He repeated the same process for 3 times. And thus Milk content in the mixture is only 81 liter. Then how much percent he withdraw every time?
  • a)
    10%
  • b)
    15%
  • c)
    18%
  • d)
    20%
  • e)
    25%
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
A Container contains 192 liter of Milk. A seller draws out x% of Milk ...
Answer – 5. 25% Explanation : 81 = 192(1-x/100)³ x = 25
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Most Upvoted Answer
A Container contains 192 liter of Milk. A seller draws out x% of Milk ...
As we Know,
         Amount of milk left=((1-(Amount drawn/Initial quantity))^(no of times  performed)) *initial quantity
         but here amount drawn is given in %
              So,81=((1-x/100)^3) *192
                  81/192= 27/64=(1-x/100)^3
                    or 1-x/100=3/4
                    or  x=25%
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Community Answer
A Container contains 192 liter of Milk. A seller draws out x% of Milk ...
Given:
- Initial quantity of milk in the container = 192 liters
- The seller repeats the process of withdrawing x% of milk and replacing it with the same quantity of water for 3 times.
- The quantity of milk in the mixture after 3 replacements = 81 liters

To find:
- The percentage of milk withdrawn by the seller at each step.

Solution:
Let's assume that the percentage of milk withdrawn by the seller at each step is 'p'.

Step 1:
- In the first step, the seller withdraws p% of milk from the container.
- The remaining milk in the container = (100 - p)% of 192 liters = (100 - p)/100 * 192 liters
- The seller replaces the withdrawn milk with an equal quantity of water.
- So, the quantity of milk in the container after the first replacement = (100 - p)/100 * 192 liters - (p/100 * 192 liters) + (p/100 * 192 liters) = (100 - p)/100 * 192 liters

Step 2:
- In the second step, the seller again withdraws p% of milk from the container.
- The remaining milk in the container after the second step = (100 - p)% of [(100 - p)/100 * 192 liters] = (100 - p)/100 * (100 - p)/100 * 192 liters
- The seller replaces the withdrawn milk with an equal quantity of water.
- So, the quantity of milk in the container after the second replacement = (100 - p)/100 * (100 - p)/100 * 192 liters - (p/100 * (100 - p)/100 * 192 liters) + (p/100 * (100 - p)/100 * 192 liters) = (100 - p)/100 * (100 - p)/100 * 192 liters

Step 3:
- In the third step, the seller once again withdraws p% of milk from the container.
- The remaining milk in the container after the third step = (100 - p)% of [(100 - p)/100 * (100 - p)/100 * 192 liters] = (100 - p)/100 * (100 - p)/100 * (100 - p)/100 * 192 liters
- The seller replaces the withdrawn milk with an equal quantity of water.
- So, the quantity of milk in the container after the third replacement = (100 - p)/100 * (100 - p)/100 * (100 - p)/100 * 192 liters - (p/100 * (100 - p)/100 * (100 - p)/100 * 192 liters) + (p/100 * (100 - p)/100 * (100 - p)/100 * 192 liters) = (100 - p)/100 * (100 - p)/100 * (100 - p)/100 * 192 liters

Final equation:
- The quantity of milk in the container after 3 replacements = (100 - p)/100 * (100 - p)/100 * (100 - p)/100 * 192 liters = 81 liters

Solving the equation:
- (100 - p)/100 * (100 - p)/100 * (100 - p)/
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A Container contains 192 liter of Milk. A seller draws out x% of Milk and replaced it with the same quantity of water. He repeated the same process for 3 times. And thus Milk content in the mixture is only 81 liter. Then how much percent he withdraw every time?a)10%b)15%c)18%d)20%e)25%Correct answer is option 'E'. Can you explain this answer?
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A Container contains 192 liter of Milk. A seller draws out x% of Milk and replaced it with the same quantity of water. He repeated the same process for 3 times. And thus Milk content in the mixture is only 81 liter. Then how much percent he withdraw every time?a)10%b)15%c)18%d)20%e)25%Correct 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 Container contains 192 liter of Milk. A seller draws out x% of Milk and replaced it with the same quantity of water. He repeated the same process for 3 times. And thus Milk content in the mixture is only 81 liter. Then how much percent he withdraw every time?a)10%b)15%c)18%d)20%e)25%Correct 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 Container contains 192 liter of Milk. A seller draws out x% of Milk and replaced it with the same quantity of water. He repeated the same process for 3 times. And thus Milk content in the mixture is only 81 liter. Then how much percent he withdraw every time?a)10%b)15%c)18%d)20%e)25%Correct answer is option 'E'. Can you explain this answer?.
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