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Modern Dairy is an upcoming company that aims to provide a unique type of milk derived from plant to the customer segment which is lactose intolerant. It has 2 suppliers. The first supplier gives a solution of soy milk and water which has a soy milk concentration of 87.5%. The second suppliers gives a solution of almond based milk and water in which the concentration of almond based milk is 60%. If the milk obtained by mixing these two solutions has a water concentration of 30%, then what is the percentage of soy-milk in the mixture?
- a)31.81%
- b)45.45%
- c)36.36%
- d)27.67%
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Modern Dairy is an upcoming company that aims to provide a unique type...
Let the x units of soy-milk solution is used and y units of an almond-based solution is used
Amount of water in soy-milk = 0.125x units
Amount of water in almond-milk = 0.4y
After the mixing, the concentration of water is 0.3
Hence 0.125x+0.4y = 0.3(x+y)
0.125x+0.4y = 0.3x+0.3y
0.1y = 0.175x
y = 1.75x
y = 47x
Most Upvoted Answer
Modern Dairy is an upcoming company that aims to provide a unique type...
To find the percentage of soy milk in the mixture, we need to use the concept of mixture and alligation.
Step 1: Understand the given information and assign variables:
- Soy milk concentration in the first solution = 87.5%
- Almond based milk concentration in the second solution = 60%
- Water concentration in the final mixture = 30%
- Percentage of soy milk in the mixture = ?
Step 2: Use the alligation method to find the ratio of the two solutions:
- We need to find the ratio of the two solutions that will give a water concentration of 30% in the final mixture.
- The desired concentration of water is 30%, which is closer to the concentration of water in the second solution (60%).
- Therefore, the ratio of the first solution to the second solution is 60:30 or 2:1.
Step 3: Calculate the concentration of soy milk in the mixture:
- Since the ratio of the two solutions is 2:1, the concentration of soy milk in the mixture will also be in the ratio of 2:1.
- Let's assume the concentration of soy milk in the mixture is 2x.
- The concentration of almond based milk in the mixture will then be 1x.
Step 4: Use the rule of mixtures to find the concentration of water in the mixture:
- The concentration of water in the first solution is 100 - 87.5 = 12.5%.
- The concentration of water in the second solution is 100 - 60 = 40%.
- The concentration of water in the mixture can be calculated using the rule of mixtures:
(Concentration of water in the first solution * Volume of the first solution) + (Concentration of water in the second solution * Volume of the second solution) = (Concentration of water in the final mixture * Total volume of the mixture)
(12.5 * 2x) + (40 * 1x) = 30 * (2x + 1x)
25x + 40x = 90x
65x = 90x
x = 65/90 = 0.7222
Step 5: Calculate the percentage of soy milk in the mixture:
- We assumed the concentration of soy milk in the mixture to be 2x.
- Therefore, the percentage of soy milk in the mixture is 2x * 100 = 2 * 0.7222 * 100 = 144.44% = 31.81% (approx.)
Therefore, the percentage of soy milk in the mixture is approximately 31.81%. Hence, the correct answer is option A.
Step 1: Understand the given information and assign variables:
- Soy milk concentration in the first solution = 87.5%
- Almond based milk concentration in the second solution = 60%
- Water concentration in the final mixture = 30%
- Percentage of soy milk in the mixture = ?
Step 2: Use the alligation method to find the ratio of the two solutions:
- We need to find the ratio of the two solutions that will give a water concentration of 30% in the final mixture.
- The desired concentration of water is 30%, which is closer to the concentration of water in the second solution (60%).
- Therefore, the ratio of the first solution to the second solution is 60:30 or 2:1.
Step 3: Calculate the concentration of soy milk in the mixture:
- Since the ratio of the two solutions is 2:1, the concentration of soy milk in the mixture will also be in the ratio of 2:1.
- Let's assume the concentration of soy milk in the mixture is 2x.
- The concentration of almond based milk in the mixture will then be 1x.
Step 4: Use the rule of mixtures to find the concentration of water in the mixture:
- The concentration of water in the first solution is 100 - 87.5 = 12.5%.
- The concentration of water in the second solution is 100 - 60 = 40%.
- The concentration of water in the mixture can be calculated using the rule of mixtures:
(Concentration of water in the first solution * Volume of the first solution) + (Concentration of water in the second solution * Volume of the second solution) = (Concentration of water in the final mixture * Total volume of the mixture)
(12.5 * 2x) + (40 * 1x) = 30 * (2x + 1x)
25x + 40x = 90x
65x = 90x
x = 65/90 = 0.7222
Step 5: Calculate the percentage of soy milk in the mixture:
- We assumed the concentration of soy milk in the mixture to be 2x.
- Therefore, the percentage of soy milk in the mixture is 2x * 100 = 2 * 0.7222 * 100 = 144.44% = 31.81% (approx.)
Therefore, the percentage of soy milk in the mixture is approximately 31.81%. Hence, the correct answer is option A.
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Modern Dairy is an upcoming company that aims to provide a unique type ofmilk derived from plant to the customer segment which is lactose intolerant. It has 2 suppliers. The first supplier gives a solution of soy milk and water which has a soy milk concentration of87.5%. The second suppliers gives a solution of almond based milk and water in which the concentration of almond based milk is60%. If the milk obtained by mixing these two solutions has a water concentration of 30%, then what is the percentage of soy-milk in the mixture?a)31.81%b)45.45%c)36.36%d)27.67%Correct answer is option 'A'. Can you explain this answer?
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Modern Dairy is an upcoming company that aims to provide a unique type ofmilk derived from plant to the customer segment which is lactose intolerant. It has 2 suppliers. The first supplier gives a solution of soy milk and water which has a soy milk concentration of87.5%. The second suppliers gives a solution of almond based milk and water in which the concentration of almond based milk is60%. If the milk obtained by mixing these two solutions has a water concentration of 30%, then what is the percentage of soy-milk in the mixture?a)31.81%b)45.45%c)36.36%d)27.67%Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Modern Dairy is an upcoming company that aims to provide a unique type ofmilk derived from plant to the customer segment which is lactose intolerant. It has 2 suppliers. The first supplier gives a solution of soy milk and water which has a soy milk concentration of87.5%. The second suppliers gives a solution of almond based milk and water in which the concentration of almond based milk is60%. If the milk obtained by mixing these two solutions has a water concentration of 30%, then what is the percentage of soy-milk in the mixture?a)31.81%b)45.45%c)36.36%d)27.67%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Modern Dairy is an upcoming company that aims to provide a unique type ofmilk derived from plant to the customer segment which is lactose intolerant. It has 2 suppliers. The first supplier gives a solution of soy milk and water which has a soy milk concentration of87.5%. The second suppliers gives a solution of almond based milk and water in which the concentration of almond based milk is60%. If the milk obtained by mixing these two solutions has a water concentration of 30%, then what is the percentage of soy-milk in the mixture?a)31.81%b)45.45%c)36.36%d)27.67%Correct answer is option 'A'. Can you explain this answer?.
Modern Dairy is an upcoming company that aims to provide a unique type ofmilk derived from plant to the customer segment which is lactose intolerant. It has 2 suppliers. The first supplier gives a solution of soy milk and water which has a soy milk concentration of87.5%. The second suppliers gives a solution of almond based milk and water in which the concentration of almond based milk is60%. If the milk obtained by mixing these two solutions has a water concentration of 30%, then what is the percentage of soy-milk in the mixture?a)31.81%b)45.45%c)36.36%d)27.67%Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Modern Dairy is an upcoming company that aims to provide a unique type ofmilk derived from plant to the customer segment which is lactose intolerant. It has 2 suppliers. The first supplier gives a solution of soy milk and water which has a soy milk concentration of87.5%. The second suppliers gives a solution of almond based milk and water in which the concentration of almond based milk is60%. If the milk obtained by mixing these two solutions has a water concentration of 30%, then what is the percentage of soy-milk in the mixture?a)31.81%b)45.45%c)36.36%d)27.67%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Modern Dairy is an upcoming company that aims to provide a unique type ofmilk derived from plant to the customer segment which is lactose intolerant. It has 2 suppliers. The first supplier gives a solution of soy milk and water which has a soy milk concentration of87.5%. The second suppliers gives a solution of almond based milk and water in which the concentration of almond based milk is60%. If the milk obtained by mixing these two solutions has a water concentration of 30%, then what is the percentage of soy-milk in the mixture?a)31.81%b)45.45%c)36.36%d)27.67%Correct answer is option 'A'. Can you explain this answer?.
Solutions for Modern Dairy is an upcoming company that aims to provide a unique type ofmilk derived from plant to the customer segment which is lactose intolerant. It has 2 suppliers. The first supplier gives a solution of soy milk and water which has a soy milk concentration of87.5%. The second suppliers gives a solution of almond based milk and water in which the concentration of almond based milk is60%. If the milk obtained by mixing these two solutions has a water concentration of 30%, then what is the percentage of soy-milk in the mixture?a)31.81%b)45.45%c)36.36%d)27.67%Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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