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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.45 B.53.33 C.60 D.63.33?
Most Upvoted Answer
Ramu sells milk after adulterating X litres of pure milk with 0.75 lit...
Approach:
Let's assume the cost price of one litre of pure milk be Rs. x
To solve the problem, we need to follow the below steps:
- Calculate the selling price of milk sold after adulterating X litres of pure milk with 0.75 litres of tap water.
- Calculate the selling price of milk sold after adulterating X litres of pure milk with 0.75 litres of mineral water.
- Calculate the profit percentage in both the above cases.
- Formulate an equation using the given information.
- Solve the equation to get the value of x.
Calculation:
Step 1: Calculation of selling price of milk sold after adulterating X litres of pure milk with 0.75 litres of tap water.
- Let's assume that X litres of pure milk is adulterated with 0.75 litres of tap water.
- So, the total quantity of milk will be X + 0.75 litres.
- As Ramu always sells at cost price, the selling price of milk will be equal to the cost price of milk which is Rs. x per litre.
- Therefore, the selling price of X litres of milk after adulteration will be X * x.
- Similarly, the selling price of 0.75 litres of tap water will be 0.75 * 0 = 0.
- Hence, the total selling price of X litres of milk after adulteration with 0.75 litres of tap water will be X * x + 0.
Step 2: Calculation of selling price of milk sold after adulterating X litres of pure milk with 0.75 litres of mineral water.
- As given, the cost of mineral water is Rs. 12 per litre.
- So, the cost of 0.75 litres of mineral water will be 0.75 * 12 = Rs. 9.
- Therefore, the total cost of X litres of pure milk after adulteration with 0.75 litres of mineral water will be X * x + 9.
- As Ramu sells at cost price, the selling price of milk sold after adulterating X litres of pure milk with 0.75 litres of mineral water will also be X * x + 9.
Step 3: Calculation of profit percentage in both the above cases.
- Profit percentage in the first case will be (selling price - cost price) / cost price * 100
- Profit percentage in the second case will be (selling price - cost price) / cost price * 100 * 0.85 (as the profit reduces by 15%)
- Therefore, profit percentage in the first case will be (X * x + 0 - X * x) / X * x * 100 = 0%.
- And, profit percentage in the second case will be (X * x + 9 - X * x) / X * x * 100 * 0.85 = 0.15 * 100 = 15%.
Step 4: Formulation of equation using the given information.
- Profit percentage reduces by 15% when X litres of pure milk is adulterated with 0.75 litres of mineral water instead of tap water.
- Therefore, (profit percentage with mineral water - profit percentage with tap water) / profit percentage with tap water * 100 = 15.
- Substituting the values, we
Let's assume the cost price of one litre of pure milk be Rs. x
To solve the problem, we need to follow the below steps:
- Calculate the selling price of milk sold after adulterating X litres of pure milk with 0.75 litres of tap water.
- Calculate the selling price of milk sold after adulterating X litres of pure milk with 0.75 litres of mineral water.
- Calculate the profit percentage in both the above cases.
- Formulate an equation using the given information.
- Solve the equation to get the value of x.
Calculation:
Step 1: Calculation of selling price of milk sold after adulterating X litres of pure milk with 0.75 litres of tap water.
- Let's assume that X litres of pure milk is adulterated with 0.75 litres of tap water.
- So, the total quantity of milk will be X + 0.75 litres.
- As Ramu always sells at cost price, the selling price of milk will be equal to the cost price of milk which is Rs. x per litre.
- Therefore, the selling price of X litres of milk after adulteration will be X * x.
- Similarly, the selling price of 0.75 litres of tap water will be 0.75 * 0 = 0.
- Hence, the total selling price of X litres of milk after adulteration with 0.75 litres of tap water will be X * x + 0.
Step 2: Calculation of selling price of milk sold after adulterating X litres of pure milk with 0.75 litres of mineral water.
- As given, the cost of mineral water is Rs. 12 per litre.
- So, the cost of 0.75 litres of mineral water will be 0.75 * 12 = Rs. 9.
- Therefore, the total cost of X litres of pure milk after adulteration with 0.75 litres of mineral water will be X * x + 9.
- As Ramu sells at cost price, the selling price of milk sold after adulterating X litres of pure milk with 0.75 litres of mineral water will also be X * x + 9.
Step 3: Calculation of profit percentage in both the above cases.
- Profit percentage in the first case will be (selling price - cost price) / cost price * 100
- Profit percentage in the second case will be (selling price - cost price) / cost price * 100 * 0.85 (as the profit reduces by 15%)
- Therefore, profit percentage in the first case will be (X * x + 0 - X * x) / X * x * 100 = 0%.
- And, profit percentage in the second case will be (X * x + 9 - X * x) / X * x * 100 * 0.85 = 0.15 * 100 = 15%.
Step 4: Formulation of equation using the given information.
- Profit percentage reduces by 15% when X litres of pure milk is adulterated with 0.75 litres of mineral water instead of tap water.
- Therefore, (profit percentage with mineral water - profit percentage with tap water) / profit percentage with tap water * 100 = 15.
- Substituting the values, we
Community Answer
Ramu sells milk after adulterating X litres of pure milk with 0.75 lit...
15%=9 rs
100%=60rs
Profit 60 with tap water
Profit 51 with mineral water
100%=60rs
Profit 60 with tap water
Profit 51 with mineral water
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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.45 B.53.33 C.60 D.63.33?
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.) A.45 B.53.33 C.60 D.63.33? 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.) A.45 B.53.33 C.60 D.63.33? 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.) A.45 B.53.33 C.60 D.63.33?.
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.45 B.53.33 C.60 D.63.33? 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.) A.45 B.53.33 C.60 D.63.33? 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.) A.45 B.53.33 C.60 D.63.33?.
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.) A.45 B.53.33 C.60 D.63.33? in English & in Hindi are available as part of our courses for CAT.
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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.45 B.53.33 C.60 D.63.33?, 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.) A.45 B.53.33 C.60 D.63.33? 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.) A.45 B.53.33 C.60 D.63.33? theory, EduRev gives you an
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