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A vesel contains 160 lr mixture of milk n water in ratio of 17 :3 .sixty lr of mixture taken out n replaced with 10 lr water .what is the approximate %of water in mixture. .plz do with solution?
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A vesel contains 160 lr mixture of milk n water in ratio of 17 :3 .six...
Problem Analysis:
Let's break down the problem into smaller steps:
1. Calculate the initial amount of water and milk in the mixture.
2. Calculate the amount of water and milk after 60 liters are taken out and replaced.
3. Calculate the ratio of water and milk in the new mixture.
4. Calculate the percentage of water in the new mixture.
Solution:
Step 1: Calculate the initial amount of water and milk in the mixture:
The ratio of milk to water is given as 17:3.
Let the amount of milk in the mixture be 17x liters.
Then the amount of water in the mixture will be 3x liters.
According to the problem, the total volume of the mixture is 160 liters.
So, 17x + 3x = 160.
Simplifying the equation, we get 20x = 160.
Solving for x, we find x = 8.
Therefore, the initial amount of milk in the mixture is 17x = 17 * 8 = 136 liters.
And the initial amount of water in the mixture is 3x = 3 * 8 = 24 liters.
Step 2: Calculate the amount of water and milk after 60 liters are taken out and replaced:
After 60 liters are taken out, the volume of the mixture becomes 160 - 60 = 100 liters.
Let's calculate the amount of milk remaining in the mixture:
The initial amount of milk in the mixture was 136 liters.
Out of this, 60 liters are taken out.
So, the amount of milk remaining in the mixture is 136 - 60 = 76 liters.
Now, let's calculate the amount of water remaining in the mixture:
The initial amount of water in the mixture was 24 liters.
After 60 liters are taken out, the amount of water in the mixture remains the same, i.e., 24 liters.
Step 3: Calculate the ratio of water and milk in the new mixture:
The amount of milk remaining in the mixture is 76 liters.
The amount of water remaining in the mixture is 24 liters.
Therefore, the ratio of water to milk in the new mixture is 24:76, which can be simplified to 3:19.
Step 4: Calculate the percentage of water in the new mixture:
To calculate the percentage of water in the new mixture, we need to find the fraction of water in the mixture and then multiply it by 100.
The fraction of water in the mixture is 3/(3+19) = 3/22.
Multiplying this fraction by 100, we find the percentage of water in the mixture is (3/22) * 100 = 13.64%.
Therefore, the approximate percentage of water in the new mixture is 13.64%.
Conclusion:
After taking out 60 liters from the initial mixture and replacing it with 10 liters of water, the approximate percentage of water in the new mixture is 13.64%.
Let's break down the problem into smaller steps:
1. Calculate the initial amount of water and milk in the mixture.
2. Calculate the amount of water and milk after 60 liters are taken out and replaced.
3. Calculate the ratio of water and milk in the new mixture.
4. Calculate the percentage of water in the new mixture.
Solution:
Step 1: Calculate the initial amount of water and milk in the mixture:
The ratio of milk to water is given as 17:3.
Let the amount of milk in the mixture be 17x liters.
Then the amount of water in the mixture will be 3x liters.
According to the problem, the total volume of the mixture is 160 liters.
So, 17x + 3x = 160.
Simplifying the equation, we get 20x = 160.
Solving for x, we find x = 8.
Therefore, the initial amount of milk in the mixture is 17x = 17 * 8 = 136 liters.
And the initial amount of water in the mixture is 3x = 3 * 8 = 24 liters.
Step 2: Calculate the amount of water and milk after 60 liters are taken out and replaced:
After 60 liters are taken out, the volume of the mixture becomes 160 - 60 = 100 liters.
Let's calculate the amount of milk remaining in the mixture:
The initial amount of milk in the mixture was 136 liters.
Out of this, 60 liters are taken out.
So, the amount of milk remaining in the mixture is 136 - 60 = 76 liters.
Now, let's calculate the amount of water remaining in the mixture:
The initial amount of water in the mixture was 24 liters.
After 60 liters are taken out, the amount of water in the mixture remains the same, i.e., 24 liters.
Step 3: Calculate the ratio of water and milk in the new mixture:
The amount of milk remaining in the mixture is 76 liters.
The amount of water remaining in the mixture is 24 liters.
Therefore, the ratio of water to milk in the new mixture is 24:76, which can be simplified to 3:19.
Step 4: Calculate the percentage of water in the new mixture:
To calculate the percentage of water in the new mixture, we need to find the fraction of water in the mixture and then multiply it by 100.
The fraction of water in the mixture is 3/(3+19) = 3/22.
Multiplying this fraction by 100, we find the percentage of water in the mixture is (3/22) * 100 = 13.64%.
Therefore, the approximate percentage of water in the new mixture is 13.64%.
Conclusion:
After taking out 60 liters from the initial mixture and replacing it with 10 liters of water, the approximate percentage of water in the new mixture is 13.64%.
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A vesel contains 160 lr mixture of milk n water in ratio of 17 :3 .sixty lr of mixture taken out n replaced with 10 lr water .what is the approximate %of water in mixture. .plz do with solution?
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A vesel contains 160 lr mixture of milk n water in ratio of 17 :3 .sixty lr of mixture taken out n replaced with 10 lr water .what is the approximate %of water in mixture. .plz do with solution? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A vesel contains 160 lr mixture of milk n water in ratio of 17 :3 .sixty lr of mixture taken out n replaced with 10 lr water .what is the approximate %of water in mixture. .plz do with solution? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vesel contains 160 lr mixture of milk n water in ratio of 17 :3 .sixty lr of mixture taken out n replaced with 10 lr water .what is the approximate %of water in mixture. .plz do with solution?.
A vesel contains 160 lr mixture of milk n water in ratio of 17 :3 .sixty lr of mixture taken out n replaced with 10 lr water .what is the approximate %of water in mixture. .plz do with solution? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A vesel contains 160 lr mixture of milk n water in ratio of 17 :3 .sixty lr of mixture taken out n replaced with 10 lr water .what is the approximate %of water in mixture. .plz do with solution? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vesel contains 160 lr mixture of milk n water in ratio of 17 :3 .sixty lr of mixture taken out n replaced with 10 lr water .what is the approximate %of water in mixture. .plz do with solution?.
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