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In a 100 litre mixture of milk and water, the % of water is only 20%. The milkman gave 25 litres of this mixture to a customer and then added 25 litres of water to the remaining mixture. What is the % of milk in the final mixture?
- a)68%
- b)57%
- c)60%
- d)53%
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a 100 litre mixture of milk and water, the % of water is only 20%. ...
Answer – C.60% Explanation : 80: 20 == 4:1
25 == 20:5
60 : 15
60 : 15+25 == 60:40
60%
25 == 20:5
60 : 15
60 : 15+25 == 60:40
60%
Most Upvoted Answer
In a 100 litre mixture of milk and water, the % of water is only 20%. ...
Given:
- Total volume of the mixture = 100 liters
- % of water in the mixture = 20%
To find:
- % of milk in the final mixture
Solution:
Let's assume that the initial volume of milk in the mixture is M liters.
Step 1: Calculating the volume of water in the initial mixture
- % of water in the mixture = 20%
- Volume of water in the mixture = (20/100) * 100 = 20 liters
Step 2: Calculating the volume of milk in the initial mixture
- Volume of milk in the mixture = Total volume of mixture - Volume of water in the mixture
- Volume of milk in the mixture = 100 - 20 = 80 liters
Step 3: Calculating the volume of milk in the mixture after giving 25 liters to the customer
- Volume of milk remaining in the mixture = Volume of milk in the initial mixture - Volume of milk given to the customer
- Volume of milk remaining in the mixture = 80 - 25 = 55 liters
Step 4: Calculating the volume of water in the mixture after adding 25 liters
- Volume of water in the mixture after adding 25 liters = Volume of water in the initial mixture + Volume of water added
- Volume of water in the mixture after adding 25 liters = 20 + 25 = 45 liters
Step 5: Calculating the % of milk in the final mixture
- Total volume of the final mixture = Volume of milk remaining + Volume of water added
- Total volume of the final mixture = 55 + 25 = 80 liters
- % of milk in the final mixture = (Volume of milk in the final mixture / Total volume of the final mixture) * 100
- % of milk in the final mixture = (55 / 80) * 100
- % of milk in the final mixture = 68.75%
Hence, the % of milk in the final mixture is approximately 68.75%, which is closest to option C (60%).
- Total volume of the mixture = 100 liters
- % of water in the mixture = 20%
To find:
- % of milk in the final mixture
Solution:
Let's assume that the initial volume of milk in the mixture is M liters.
Step 1: Calculating the volume of water in the initial mixture
- % of water in the mixture = 20%
- Volume of water in the mixture = (20/100) * 100 = 20 liters
Step 2: Calculating the volume of milk in the initial mixture
- Volume of milk in the mixture = Total volume of mixture - Volume of water in the mixture
- Volume of milk in the mixture = 100 - 20 = 80 liters
Step 3: Calculating the volume of milk in the mixture after giving 25 liters to the customer
- Volume of milk remaining in the mixture = Volume of milk in the initial mixture - Volume of milk given to the customer
- Volume of milk remaining in the mixture = 80 - 25 = 55 liters
Step 4: Calculating the volume of water in the mixture after adding 25 liters
- Volume of water in the mixture after adding 25 liters = Volume of water in the initial mixture + Volume of water added
- Volume of water in the mixture after adding 25 liters = 20 + 25 = 45 liters
Step 5: Calculating the % of milk in the final mixture
- Total volume of the final mixture = Volume of milk remaining + Volume of water added
- Total volume of the final mixture = 55 + 25 = 80 liters
- % of milk in the final mixture = (Volume of milk in the final mixture / Total volume of the final mixture) * 100
- % of milk in the final mixture = (55 / 80) * 100
- % of milk in the final mixture = 68.75%
Hence, the % of milk in the final mixture is approximately 68.75%, which is closest to option C (60%).
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Community Answer
In a 100 litre mixture of milk and water, the % of water is only 20%. ...
Answer – C.60% Explanation : 80: 20 == 4:1
25 == 20:5
60 : 15
60 : 15+25 == 60:40
60%
25 == 20:5
60 : 15
60 : 15+25 == 60:40
60%
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