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The ratio of milk and water in a container is 5:23. Some amount of water is added to increase the qantity of mixture by 25% after which 20 % of the mixture is removed and replaced with pure milk. The ratio of milk to water now is?
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The ratio of milk and water in a container is 5:23. Some amount of wat...
Given Information:
Ratio of milk and water in the container = 5:23
Quantity of mixture is increased by 25%
20% of the mixture is removed and replaced with pure milk
Solution:
Step 1: Find the initial quantity of mixture
Let the initial quantity of mixture be 5x + 23x = 28x.
Step 2: Increase in quantity of mixture
As the quantity of mixture is increased by 25%, the new quantity of mixture becomes:
28x + 25% of 28x = 28x + 7x = 35x.
Step 3: Remove and replace mixture
20% of the mixture is removed and replaced with pure milk. Therefore, the amount of mixture removed is:
20% of 35x = (20/100) × 35x = 7x.
After removing the mixture, the quantity of mixture left is:
35x - 7x = 28x.
Now, 20% of the mixture is replaced with pure milk. Therefore, the amount of mixture replaced with milk is:
20% of 28x = (20/100) × 28x = 5.6x.
Therefore, the amount of milk in the new mixture is:
5 + 5.6 = 10.6x.
And the amount of water in the new mixture is:
23x - 7x + 5.6x = 21.6x.
Step 4: Find the ratio of milk and water in the new mixture
The ratio of milk to water in the new mixture is:
10.6x : 21.6x = 53 : 108.
Final Answer:
The ratio of milk to water in the new mixture is 53:108.
Community Answer
The ratio of milk and water in a container is 5:23. Some amount of wat...
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The ratio of milk and water in a container is 5:23. Some amount of water is added to increase the qantity of mixture by 25% after which 20 % of the mixture is removed and replaced with pure milk. The ratio of milk to water now is? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The ratio of milk and water in a container is 5:23. Some amount of water is added to increase the qantity of mixture by 25% after which 20 % of the mixture is removed and replaced with pure milk. The ratio of milk to water now is? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of milk and water in a container is 5:23. Some amount of water is added to increase the qantity of mixture by 25% after which 20 % of the mixture is removed and replaced with pure milk. The ratio of milk to water now is?.
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