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Ramu sells milk after adulterating X litres of pure milk with 0.75 litres of tap water. If he sold milk after adulterating X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%. What is the cost of pure milk per litre? (The cost of mineral water is Rs. 12 per litre and tap water comes for free. Ramu always sells at cost price.?
Verified Answer
Ramu sells milk after adulterating X litres of pure milk with 0.75 lit...
Profit when tap water is added = 0.75C
Profit when mineral water is added = 0.75C - 4.5.
Therefore, 0.75C - 4.5 = 0.85 (0.75C) which gives C = 53.33
Profit when mineral water is added = 0.75C - 4.5.
Therefore, 0.75C - 4.5 = 0.85 (0.75C) which gives C = 53.33
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Ramu sells milk after adulterating X litres of pure milk with 0.75 lit...
Given:
- Ramu adulterates X litres of pure milk with 0.75 litres of tap water to sell.
- If he adulterates X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%.
- The cost of mineral water is Rs. 12 per litre.
- Ramu always sells milk at cost price.
To find:
- The cost of pure milk per litre.
Solution:
Step 1: Understanding the problem
- Ramu adulterates X litres of pure milk with 0.75 litres of tap water to sell.
- If he adulterates X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%.
- The cost of mineral water is Rs. 12 per litre.
- Ramu always sells milk at cost price.
Step 2: Analyzing the given information
- The profit reduction when using mineral water instead of tap water is 15%.
- The cost of mineral water is Rs. 12 per litre.
- Ramu always sells milk at cost price.
Step 3: Formulating the equation
Let's assume the cost of pure milk per litre as C.
When adulterating with tap water:
- The cost of X litres of pure milk = X * C
- The cost of 0.75 litres of tap water = 0 * 0
- The selling price of X+0.75 litres of adulterated milk = (X + 0.75) * C
When adulterating with mineral water:
- The cost of X litres of pure milk = X * C
- The cost of 0.75 litres of mineral water = 0.75 * 12
- The selling price of X+0.75 litres of adulterated milk = (X + 0.75) * C * (1 - 0.15)
Step 4: Solving the equation
According to the given information:
(X + 0.75) * C * (1 - 0.15) = (X + 0.75) * C
Simplifying the equation:
(1 - 0.15) = 1
Therefore, the equation becomes:
(X + 0.75) * C = (X + 0.75) * C
To solve the equation, we can cancel out (X + 0.75) from both sides:
C = C
Step 5: Conclusion
From the equation, we can see that the cost of pure milk per litre (C) is equal to the cost of pure milk per litre (C). This means that the cost of pure milk per litre does not change regardless of whether tap water or mineral water is used for adulteration.
Therefore, the cost of pure milk per litre cannot be determined with the given information.
- Ramu adulterates X litres of pure milk with 0.75 litres of tap water to sell.
- If he adulterates X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%.
- The cost of mineral water is Rs. 12 per litre.
- Ramu always sells milk at cost price.
To find:
- The cost of pure milk per litre.
Solution:
Step 1: Understanding the problem
- Ramu adulterates X litres of pure milk with 0.75 litres of tap water to sell.
- If he adulterates X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%.
- The cost of mineral water is Rs. 12 per litre.
- Ramu always sells milk at cost price.
Step 2: Analyzing the given information
- The profit reduction when using mineral water instead of tap water is 15%.
- The cost of mineral water is Rs. 12 per litre.
- Ramu always sells milk at cost price.
Step 3: Formulating the equation
Let's assume the cost of pure milk per litre as C.
When adulterating with tap water:
- The cost of X litres of pure milk = X * C
- The cost of 0.75 litres of tap water = 0 * 0
- The selling price of X+0.75 litres of adulterated milk = (X + 0.75) * C
When adulterating with mineral water:
- The cost of X litres of pure milk = X * C
- The cost of 0.75 litres of mineral water = 0.75 * 12
- The selling price of X+0.75 litres of adulterated milk = (X + 0.75) * C * (1 - 0.15)
Step 4: Solving the equation
According to the given information:
(X + 0.75) * C * (1 - 0.15) = (X + 0.75) * C
Simplifying the equation:
(1 - 0.15) = 1
Therefore, the equation becomes:
(X + 0.75) * C = (X + 0.75) * C
To solve the equation, we can cancel out (X + 0.75) from both sides:
C = C
Step 5: Conclusion
From the equation, we can see that the cost of pure milk per litre (C) is equal to the cost of pure milk per litre (C). This means that the cost of pure milk per litre does not change regardless of whether tap water or mineral water is used for adulteration.
Therefore, the cost of pure milk per litre cannot be determined with the given information.
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Ramu sells milk after adulterating X litres of pure milk with 0.75 litres of tap water. If he sold milk after adulterating X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%. What is the cost of pure milk per litre? (The cost of mineral water is Rs. 12 per litre and tap water comes for free. Ramu always sells at cost price.?
Question Description
Ramu sells milk after adulterating X litres of pure milk with 0.75 litres of tap water. If he sold milk after adulterating X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%. What is the cost of pure milk per litre? (The cost of mineral water is Rs. 12 per litre and tap water comes for free. Ramu always sells at cost price.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Ramu sells milk after adulterating X litres of pure milk with 0.75 litres of tap water. If he sold milk after adulterating X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%. What is the cost of pure milk per litre? (The cost of mineral water is Rs. 12 per litre and tap water comes for free. Ramu always sells at cost price.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramu sells milk after adulterating X litres of pure milk with 0.75 litres of tap water. If he sold milk after adulterating X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%. What is the cost of pure milk per litre? (The cost of mineral water is Rs. 12 per litre and tap water comes for free. Ramu always sells at cost price.?.
Ramu sells milk after adulterating X litres of pure milk with 0.75 litres of tap water. If he sold milk after adulterating X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%. What is the cost of pure milk per litre? (The cost of mineral water is Rs. 12 per litre and tap water comes for free. Ramu always sells at cost price.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Ramu sells milk after adulterating X litres of pure milk with 0.75 litres of tap water. If he sold milk after adulterating X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%. What is the cost of pure milk per litre? (The cost of mineral water is Rs. 12 per litre and tap water comes for free. Ramu always sells at cost price.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramu sells milk after adulterating X litres of pure milk with 0.75 litres of tap water. If he sold milk after adulterating X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%. What is the cost of pure milk per litre? (The cost of mineral water is Rs. 12 per litre and tap water comes for free. Ramu always sells at cost price.?.
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Ramu sells milk after adulterating X litres of pure milk with 0.75 litres of tap water. If he sold milk after adulterating X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%. What is the cost of pure milk per litre? (The cost of mineral water is Rs. 12 per litre and tap water comes for free. Ramu always sells at cost price.?, a detailed solution for Ramu sells milk after adulterating X litres of pure milk with 0.75 litres of tap water. If he sold milk after adulterating X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%. What is the cost of pure milk per litre? (The cost of mineral water is Rs. 12 per litre and tap water comes for free. Ramu always sells at cost price.? has been provided alongside types of Ramu sells milk after adulterating X litres of pure milk with 0.75 litres of tap water. If he sold milk after adulterating X litres of pure milk with 0.75 litres of mineral water instead, his profit would reduce by 15%. What is the cost of pure milk per litre? (The cost of mineral water is Rs. 12 per litre and tap water comes for free. Ramu always sells at cost price.? theory, EduRev gives you an
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