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A bottle contains 50 liters of milk. From this bottle 5 liters of milk was taken out and replaced the water. This process was repeated further for three times. How much milk is now contained in the bottle ?
- a)32.8 liters
- b)34.4 liters
- c)36.8 liters
- d)46.5 liters
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A bottle contains 50 liters of milk. From this bottle 5 liters of milk...
Total milk = 50 L
Volume of Mixture / Milk replaced each time = 5l.
Volume of Mixture / Milk replaced each time = 5l.
As this process is repeated 4 times, so the milk remained 
Most Upvoted Answer
A bottle contains 50 liters of milk. From this bottle 5 liters of milk...
Problem Analysis:
To solve this problem, we need to understand the concept of a solution being diluted by adding a solvent to it. In this case, the milk in the bottle is being diluted by adding water. The amount of milk in the bottle will decrease each time water is added, but the total volume of liquid in the bottle remains the same.
Solution:
Let's break down the problem into steps to find the final amount of milk in the bottle.
1. Initial amount of milk: The bottle initially contains 50 liters of milk.
2. First replacement: 5 liters of milk is taken out and replaced with water. This means that 5 liters of milk is replaced with 5 liters of water. After this replacement, the bottle contains 50 - 5 = 45 liters of milk.
3. Second replacement: Again, 5 liters of liquid is taken out, but this time it includes both milk and water. Since the ratio of milk to water in the bottle is 45:5, the amount of milk taken out is 45/50 * 5 = 4.5 liters. After this replacement, the bottle contains 45 - 4.5 = 40.5 liters of milk.
4. Third replacement: Similar to the second replacement, the amount of milk taken out is 40.5/45 * 5 = 4.5 liters. After this replacement, the bottle contains 40.5 - 4.5 = 36 liters of milk.
5. Fourth replacement: Again, the amount of milk taken out is 36/40.5 * 5 = 4.17 liters. After this replacement, the bottle contains 36 - 4.17 = 31.83 liters of milk.
So, the final amount of milk in the bottle is 31.83 liters.
Answer:
The correct answer is A) 32.8 liters.
To solve this problem, we need to understand the concept of a solution being diluted by adding a solvent to it. In this case, the milk in the bottle is being diluted by adding water. The amount of milk in the bottle will decrease each time water is added, but the total volume of liquid in the bottle remains the same.
Solution:
Let's break down the problem into steps to find the final amount of milk in the bottle.
1. Initial amount of milk: The bottle initially contains 50 liters of milk.
2. First replacement: 5 liters of milk is taken out and replaced with water. This means that 5 liters of milk is replaced with 5 liters of water. After this replacement, the bottle contains 50 - 5 = 45 liters of milk.
3. Second replacement: Again, 5 liters of liquid is taken out, but this time it includes both milk and water. Since the ratio of milk to water in the bottle is 45:5, the amount of milk taken out is 45/50 * 5 = 4.5 liters. After this replacement, the bottle contains 45 - 4.5 = 40.5 liters of milk.
4. Third replacement: Similar to the second replacement, the amount of milk taken out is 40.5/45 * 5 = 4.5 liters. After this replacement, the bottle contains 40.5 - 4.5 = 36 liters of milk.
5. Fourth replacement: Again, the amount of milk taken out is 36/40.5 * 5 = 4.17 liters. After this replacement, the bottle contains 36 - 4.17 = 31.83 liters of milk.
So, the final amount of milk in the bottle is 31.83 liters.
Answer:
The correct answer is A) 32.8 liters.
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A bottle contains 50 liters of milk. From this bottle 5 liters of milk was taken out and replaced the water. This process was repeated further for three times. How much milk is now contained in the bottle ? a)32.8 litersb)34.4 litersc)36.8 litersd)46.5 litersCorrect answer is option 'A'. Can you explain this answer?
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