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Q.2. How much water be mixed in 36 litre of milk worth Rs. 5.00 per litre, so that value of mixture is Rs. 3.60 per litre? 1. 10 litres 2. 12 litres 3. 11 litres 4. 14 litres 5. 17 litres?
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Q.2. How much water be mixed in 36 litre of milk worth Rs. 5.00 per li...
Problem: How much water be mixed in 36 litre of milk worth Rs. 5.00 per litre, so that value of mixture is Rs. 3.60 per litre?
Solution:
To solve this problem, we need to use the concept of the weighted average.
Step 1: Find the initial value of the mixture.
The initial value of the mixture is the value of the milk before adding any water. We can find it using the formula:
Initial value = (quantity of milk x price of milk) / total quantity
Substituting the given values, we get:
Initial value = (36 x 5) / 36 = Rs. 5.00 per litre
Step 2: Find the final value of the mixture.
The final value of the mixture is the value of the milk after adding water. We can find it using the formula:
Final value = (quantity of milk + quantity of water) x price of mixture / total quantity
Substituting the given values, we get:
3.60 = (36 + quantity of water) x price of mixture / (36 + quantity of water)
3.60(36 + quantity of water) = (36 + quantity of water) x (5x + 0) (where x is the quantity of water added per litre of milk)
Simplifying the above expression, we get:
129.6 + 3.6x = 180 + 5x
1.4x = 50.4
x = 36
Therefore, we need to add 36 litres of water to 36 litres of milk to get a mixture worth Rs. 3.60 per litre.
Answer: The correct option is 1. 10 litres.
Solution:
To solve this problem, we need to use the concept of the weighted average.
Step 1: Find the initial value of the mixture.
The initial value of the mixture is the value of the milk before adding any water. We can find it using the formula:
Initial value = (quantity of milk x price of milk) / total quantity
Substituting the given values, we get:
Initial value = (36 x 5) / 36 = Rs. 5.00 per litre
Step 2: Find the final value of the mixture.
The final value of the mixture is the value of the milk after adding water. We can find it using the formula:
Final value = (quantity of milk + quantity of water) x price of mixture / total quantity
Substituting the given values, we get:
3.60 = (36 + quantity of water) x price of mixture / (36 + quantity of water)
3.60(36 + quantity of water) = (36 + quantity of water) x (5x + 0) (where x is the quantity of water added per litre of milk)
Simplifying the above expression, we get:
129.6 + 3.6x = 180 + 5x
1.4x = 50.4
x = 36
Therefore, we need to add 36 litres of water to 36 litres of milk to get a mixture worth Rs. 3.60 per litre.
Answer: The correct option is 1. 10 litres.
Community Answer
Q.2. How much water be mixed in 36 litre of milk worth Rs. 5.00 per li...
Cost 36*5=180. Now 180/x=3.6 value would be 50 which is 36+14
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Q.2. How much water be mixed in 36 litre of milk worth Rs. 5.00 per litre, so that value of mixture is Rs. 3.60 per litre? 1. 10 litres 2. 12 litres 3. 11 litres 4. 14 litres 5. 17 litres?
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Q.2. How much water be mixed in 36 litre of milk worth Rs. 5.00 per litre, so that value of mixture is Rs. 3.60 per litre? 1. 10 litres 2. 12 litres 3. 11 litres 4. 14 litres 5. 17 litres? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Q.2. How much water be mixed in 36 litre of milk worth Rs. 5.00 per litre, so that value of mixture is Rs. 3.60 per litre? 1. 10 litres 2. 12 litres 3. 11 litres 4. 14 litres 5. 17 litres? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q.2. How much water be mixed in 36 litre of milk worth Rs. 5.00 per litre, so that value of mixture is Rs. 3.60 per litre? 1. 10 litres 2. 12 litres 3. 11 litres 4. 14 litres 5. 17 litres?.
Q.2. How much water be mixed in 36 litre of milk worth Rs. 5.00 per litre, so that value of mixture is Rs. 3.60 per litre? 1. 10 litres 2. 12 litres 3. 11 litres 4. 14 litres 5. 17 litres? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Q.2. How much water be mixed in 36 litre of milk worth Rs. 5.00 per litre, so that value of mixture is Rs. 3.60 per litre? 1. 10 litres 2. 12 litres 3. 11 litres 4. 14 litres 5. 17 litres? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q.2. How much water be mixed in 36 litre of milk worth Rs. 5.00 per litre, so that value of mixture is Rs. 3.60 per litre? 1. 10 litres 2. 12 litres 3. 11 litres 4. 14 litres 5. 17 litres?.
Solutions for Q.2. How much water be mixed in 36 litre of milk worth Rs. 5.00 per litre, so that value of mixture is Rs. 3.60 per litre? 1. 10 litres 2. 12 litres 3. 11 litres 4. 14 litres 5. 17 litres? in English & in Hindi are available as part of our courses for CAT.
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