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From a container, a thief has stolen 10 liters of Milk and replaced with the same quantity of water. He repeated the process for three times, then the ratio of Milk to water became 343:169.The initial amount of Milk in the container is?
  • a)
    80 liter
  • b)
    100 liter
  • c)
    120 liter
  • d)
    130 liter
  • e)
    None
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
From a container, a thief has stolen 10 liters of Milk and replaced wi...
Answer – 1. 80 liter 343x = 512x(1-10/y) y = 80
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From a container, a thief has stolen 10 liters of Milk and replaced wi...
Initial Amount of Milk in the Container: 80 liters

To solve this problem, let's break it down step by step:

Step 1: Understanding the Problem
- A thief steals 10 liters of milk from a container.
- The thief replaces the stolen milk with the same quantity of water.
- This process is repeated three times.
- After these replacements, the ratio of milk to water in the container is 343:169.

Step 2: Setting up the Equation
- Let's assume the initial amount of milk in the container is x liters.
- After the first replacement, the amount of milk in the container becomes x - 10 liters.
- After the second replacement, the amount of milk in the container becomes (x - 10) - 10 liters, which can be simplified to x - 20 liters.
- After the third replacement, the amount of milk in the container becomes (x - 20) - 10 liters, which can be simplified to x - 30 liters.

Step 3: Calculating the Amount of Water
- In the final state, the amount of water in the container is the same as the amount of milk.
- So, after the three replacements, the amount of water in the container is also x - 30 liters.

Step 4: Setting up the Ratio Equation
- The ratio of milk to water in the container after the three replacements is given as 343:169.
- This can be written as (x - 30): (x - 30) = 343:169.

Step 5: Solving the Equation
- Cross-multiplying, we get (x - 30) * 169 = (x - 30) * 343.
- Expanding the equation, we have 169x - 5070 = 343x - 10290.
- Simplifying the equation, we get 174x = 5220.
- Dividing both sides by 174, we find x = 30.

Step 6: Calculating the Initial Amount of Milk
- The initial amount of milk in the container is given as x liters, which is equal to 30 liters.

Therefore, the correct answer is option A) 30 liters.
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From a container, a thief has stolen 10 liters of Milk and replaced wi...
Answer is A
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From a container, a thief has stolen 10 liters of Milk and replaced with the same quantity of water. He repeated the process for three times, then the ratio of Milk to water became 343:169.The initial amount of Milk in the container is?a)80 literb)100 literc)120 literd)130 litere)NoneCorrect answer is option 'A'. Can you explain this answer?
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From a container, a thief has stolen 10 liters of Milk and replaced with the same quantity of water. He repeated the process for three times, then the ratio of Milk to water became 343:169.The initial amount of Milk in the container is?a)80 literb)100 literc)120 literd)130 litere)NoneCorrect answer is option 'A'. 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 From a container, a thief has stolen 10 liters of Milk and replaced with the same quantity of water. He repeated the process for three times, then the ratio of Milk to water became 343:169.The initial amount of Milk in the container is?a)80 literb)100 literc)120 literd)130 litere)NoneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a container, a thief has stolen 10 liters of Milk and replaced with the same quantity of water. He repeated the process for three times, then the ratio of Milk to water became 343:169.The initial amount of Milk in the container is?a)80 literb)100 literc)120 literd)130 litere)NoneCorrect answer is option 'A'. Can you explain this answer?.
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