CAT Exam > CAT Questions > Ramu sells milk after adulterating X litres o...
Start Learning for Free
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
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
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.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
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.?.
Solutions 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.? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning 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.? defined & explained in the simplest way possible. Besides giving the explanation 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.?, 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
ample number of questions to practice 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.? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup