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A can contains 50 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated twice. Find the amount of remaining milk in the mixture?
- a)127/3 litres
- b)26 2/3 litres
- c)87litres
- d)32 litres
- e)27 2/3 litres
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A can contains 50 litres of milk. 10 litres of this milk is taken out ...
Answer – D.128/5litres Explanation : Remaining milk = 50 [1 – (10/50)]2= 32
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A can contains 50 litres of milk. 10 litres of this milk is taken out ...
Problem:
A can contains 50 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated twice. Find the amount of remaining milk in the mixture?
Solution:
Let's break down the problem step by step:
Step 1: First Replacement
In the first replacement, 10 litres of milk is taken out and replaced with water. This means that the quantity of milk in the can is reduced by 10 litres, and the quantity of water in the can is increased by 10 litres.
Quantity of milk remaining = 50 litres - 10 litres = 40 litres
Quantity of water in the can = 10 litres
Step 2: Second Replacement
In the second replacement, 10 litres of milk is taken out and replaced with water again. This means that the quantity of milk in the can is further reduced by 10 litres, and the quantity of water in the can is increased by 10 litres.
Quantity of milk remaining = 40 litres - 10 litres = 30 litres
Quantity of water in the can = 20 litres
Step 3: Third Replacement
In the third replacement, 10 litres of milk is taken out and replaced with water for the final time. This means that the quantity of milk in the can is once again reduced by 10 litres, and the quantity of water in the can is increased by 10 litres.
Quantity of milk remaining = 30 litres - 10 litres = 20 litres
Quantity of water in the can = 30 litres
Step 4: Total Quantity
The total quantity of the mixture in the can is the sum of the quantity of milk remaining and the quantity of water in the can.
Total quantity = Quantity of milk remaining + Quantity of water in the can
Total quantity = 20 litres + 30 litres
Total quantity = 50 litres
Therefore, the amount of remaining milk in the mixture is 20 litres.
Hence, the correct answer is option 'D' - 128/5 litres.
A can contains 50 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated twice. Find the amount of remaining milk in the mixture?
Solution:
Let's break down the problem step by step:
Step 1: First Replacement
In the first replacement, 10 litres of milk is taken out and replaced with water. This means that the quantity of milk in the can is reduced by 10 litres, and the quantity of water in the can is increased by 10 litres.
Quantity of milk remaining = 50 litres - 10 litres = 40 litres
Quantity of water in the can = 10 litres
Step 2: Second Replacement
In the second replacement, 10 litres of milk is taken out and replaced with water again. This means that the quantity of milk in the can is further reduced by 10 litres, and the quantity of water in the can is increased by 10 litres.
Quantity of milk remaining = 40 litres - 10 litres = 30 litres
Quantity of water in the can = 20 litres
Step 3: Third Replacement
In the third replacement, 10 litres of milk is taken out and replaced with water for the final time. This means that the quantity of milk in the can is once again reduced by 10 litres, and the quantity of water in the can is increased by 10 litres.
Quantity of milk remaining = 30 litres - 10 litres = 20 litres
Quantity of water in the can = 30 litres
Step 4: Total Quantity
The total quantity of the mixture in the can is the sum of the quantity of milk remaining and the quantity of water in the can.
Total quantity = Quantity of milk remaining + Quantity of water in the can
Total quantity = 20 litres + 30 litres
Total quantity = 50 litres
Therefore, the amount of remaining milk in the mixture is 20 litres.
Hence, the correct answer is option 'D' - 128/5 litres.
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A can contains 50 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated twice. Find the amount of remaining milk in the mixture?a)127/3 litresb)26 2/3 litresc)87litresd)32 litrese)27 2/3 litresCorrect answer is option 'D'. Can you explain this answer?
Question Description
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Solutions for A can contains 50 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated twice. Find the amount of remaining milk in the mixture?a)127/3 litresb)26 2/3 litresc)87litresd)32 litrese)27 2/3 litresCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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A can contains 50 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated twice. Find the amount of remaining milk in the mixture?a)127/3 litresb)26 2/3 litresc)87litresd)32 litrese)27 2/3 litresCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A can contains 50 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated twice. Find the amount of remaining milk in the mixture?a)127/3 litresb)26 2/3 litresc)87litresd)32 litrese)27 2/3 litresCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A can contains 50 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated twice. Find the amount of remaining milk in the mixture?a)127/3 litresb)26 2/3 litresc)87litresd)32 litrese)27 2/3 litresCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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