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A shopkeeper sells milk which contains 5% water.What quantity of pure milk should be added to 2 litres of milk so that proportions of water become 4%?
- a)1 litre
- b)2 litres
- c)0.5 litre
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A shopkeeper sells milk which contains 5% water.What quantity of pure ...
5% in 2 litres of milk is 0.1
0.1 / (2+x) = 4%
4x + 8 = 10
x = 0.5
So, the answer is 0.5.
0.1 / (2+x) = 4%
4x + 8 = 10
x = 0.5
So, the answer is 0.5.
Most Upvoted Answer
A shopkeeper sells milk which contains 5% water.What quantity of pure ...
5% in 2 litres of milk is 0.1
0.1 / (2+x) = 4%
4x + 8 = 10
x = 0.5
So, the answer is 0.5.
0.1 / (2+x) = 4%
4x + 8 = 10
x = 0.5
So, the answer is 0.5.
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Community Answer
A shopkeeper sells milk which contains 5% water.What quantity of pure ...
To solve this problem, let's first understand the given information:
- The milk sold by the shopkeeper contains 5% water.
- The shopkeeper wants to add some pure milk to 2 litres of the existing milk so that the proportion of water becomes 4%.
Let's assume the quantity of pure milk to be added is 'x' litres.
Step 1: Calculate the amount of water in the original 2 litres of milk:
- The original milk contains 5% water, so the amount of water in 2 litres of milk is (5/100) * 2 = 0.1 litres.
Step 2: Calculate the amount of milk in the original 2 litres of milk:
- Since the original milk is 100% - 5% = 95% milk, the amount of milk in 2 litres of milk is (95/100) * 2 = 1.9 litres.
Step 3: Calculate the amount of water in the final mixture:
- The final mixture should have 4% water. Since the total quantity of the mixture is 2 litres + x litres, the amount of water in the final mixture is (4/100) * (2 + x) = 0.08 + 0.04x litres.
Step 4: Calculate the amount of milk in the final mixture:
- The amount of milk in the final mixture is the sum of the original milk (1.9 litres) and the pure milk added (x litres).
Step 5: Set up an equation based on the conservation of mass:
- The total amount of water in the original mixture (0.1 litres) should be equal to the total amount of water in the final mixture (0.08 + 0.04x litres).
0.1 = 0.08 + 0.04x
Step 6: Solve the equation to find the value of 'x':
- Subtracting 0.08 from both sides of the equation, we get:
0.1 - 0.08 = 0.04x
0.02 = 0.04x
- Dividing both sides of the equation by 0.04, we get:
0.02/0.04 = x
0.5 = x
Therefore, the quantity of pure milk that should be added to 2 litres of milk is 0.5 litres, which corresponds to option 'C'.
- The milk sold by the shopkeeper contains 5% water.
- The shopkeeper wants to add some pure milk to 2 litres of the existing milk so that the proportion of water becomes 4%.
Let's assume the quantity of pure milk to be added is 'x' litres.
Step 1: Calculate the amount of water in the original 2 litres of milk:
- The original milk contains 5% water, so the amount of water in 2 litres of milk is (5/100) * 2 = 0.1 litres.
Step 2: Calculate the amount of milk in the original 2 litres of milk:
- Since the original milk is 100% - 5% = 95% milk, the amount of milk in 2 litres of milk is (95/100) * 2 = 1.9 litres.
Step 3: Calculate the amount of water in the final mixture:
- The final mixture should have 4% water. Since the total quantity of the mixture is 2 litres + x litres, the amount of water in the final mixture is (4/100) * (2 + x) = 0.08 + 0.04x litres.
Step 4: Calculate the amount of milk in the final mixture:
- The amount of milk in the final mixture is the sum of the original milk (1.9 litres) and the pure milk added (x litres).
Step 5: Set up an equation based on the conservation of mass:
- The total amount of water in the original mixture (0.1 litres) should be equal to the total amount of water in the final mixture (0.08 + 0.04x litres).
0.1 = 0.08 + 0.04x
Step 6: Solve the equation to find the value of 'x':
- Subtracting 0.08 from both sides of the equation, we get:
0.1 - 0.08 = 0.04x
0.02 = 0.04x
- Dividing both sides of the equation by 0.04, we get:
0.02/0.04 = x
0.5 = x
Therefore, the quantity of pure milk that should be added to 2 litres of milk is 0.5 litres, which corresponds to option 'C'.
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A shopkeeper sells milk which contains 5% water.What quantity of pure milk should be added to 2 litres of milk so that proportions of water become 4%?a) 1 litre b) 2 litres c) 0.5 litre d) None of these Correct answer is option 'C'. Can you explain this answer?
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A shopkeeper sells milk which contains 5% water.What quantity of pure milk should be added to 2 litres of milk so that proportions of water become 4%?a) 1 litre b) 2 litres c) 0.5 litre d) None of these Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A shopkeeper sells milk which contains 5% water.What quantity of pure milk should be added to 2 litres of milk so that proportions of water become 4%?a) 1 litre b) 2 litres c) 0.5 litre d) None of these Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sells milk which contains 5% water.What quantity of pure milk should be added to 2 litres of milk so that proportions of water become 4%?a) 1 litre b) 2 litres c) 0.5 litre d) None of these Correct answer is option 'C'. Can you explain this answer?.
A shopkeeper sells milk which contains 5% water.What quantity of pure milk should be added to 2 litres of milk so that proportions of water become 4%?a) 1 litre b) 2 litres c) 0.5 litre d) None of these Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A shopkeeper sells milk which contains 5% water.What quantity of pure milk should be added to 2 litres of milk so that proportions of water become 4%?a) 1 litre b) 2 litres c) 0.5 litre d) None of these Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sells milk which contains 5% water.What quantity of pure milk should be added to 2 litres of milk so that proportions of water become 4%?a) 1 litre b) 2 litres c) 0.5 litre d) None of these Correct answer is option 'C'. Can you explain this answer?.
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