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Solution 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.)?
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Solution of Ramu sells milk after adulterating X litres of pure milk w...
Solution:
Let us assume that Ramu initially had X litres of pure milk.
Adulteration with Tap Water
After adulterating X litres of pure milk with 0.75 litres of tap water, Ramu has (X+0.75) litres of milk.
As Ramu sells the milk at cost price, the selling price of 1 litre of milk is equal to the cost price.
Let the cost price of pure milk be Rs. A per litre.
The cost price of (X+0.75) litres of adulterated milk is (X+0.75) x A.
Adulteration with Mineral Water
After adulterating X litres of pure milk with 0.75 litres of mineral water, Ramu has (X+0.75) litres of milk.
If Ramu sells this milk at cost price, he will incur a loss of 15% on the cost price of pure milk.
The selling price of 1 litre of milk is equal to the cost price.
Therefore, the cost price of (X+0.75) litres of adulterated milk is (85/100) x A x (X+0.75).
Equating the Cost Prices
We know that the cost price of both the adulterated milks is the same.
Therefore, we can equate the two expressions of cost price derived above.
(X+0.75) x A = (85/100) x A x (X+0.75)
Solving this equation, we get:
X = 5
Therefore, Ramu initially had 5 litres of pure milk.
The cost price of pure milk per litre is A = (X+0.75) x A / (X)
= (5+0.75) x A / 5
= 0.95A
Therefore, the cost of pure milk per litre is Rs. 0.95A.
As given in the question, the cost of mineral water is Rs. 12 per litre and tap water comes for free. Therefore, the cost of adulterating 0.75 litres of milk with mineral water is Rs. 9.
Therefore, the cost price of 1 litre of adulterated milk with mineral water is (0.95A + 9/5) = (19A+18)/20.
Since Ramu sells at cost price, the selling price of 1 litre of milk is also (19A+18)/20.
Therefore, the answer is:
The cost of pure milk per litre is Rs. 0.95A.
The selling price of 1 litre of milk is also (19A+18)/20.
Let us assume that Ramu initially had X litres of pure milk.
Adulteration with Tap Water
After adulterating X litres of pure milk with 0.75 litres of tap water, Ramu has (X+0.75) litres of milk.
As Ramu sells the milk at cost price, the selling price of 1 litre of milk is equal to the cost price.
Let the cost price of pure milk be Rs. A per litre.
The cost price of (X+0.75) litres of adulterated milk is (X+0.75) x A.
Adulteration with Mineral Water
After adulterating X litres of pure milk with 0.75 litres of mineral water, Ramu has (X+0.75) litres of milk.
If Ramu sells this milk at cost price, he will incur a loss of 15% on the cost price of pure milk.
The selling price of 1 litre of milk is equal to the cost price.
Therefore, the cost price of (X+0.75) litres of adulterated milk is (85/100) x A x (X+0.75).
Equating the Cost Prices
We know that the cost price of both the adulterated milks is the same.
Therefore, we can equate the two expressions of cost price derived above.
(X+0.75) x A = (85/100) x A x (X+0.75)
Solving this equation, we get:
X = 5
Therefore, Ramu initially had 5 litres of pure milk.
The cost price of pure milk per litre is A = (X+0.75) x A / (X)
= (5+0.75) x A / 5
= 0.95A
Therefore, the cost of pure milk per litre is Rs. 0.95A.
As given in the question, the cost of mineral water is Rs. 12 per litre and tap water comes for free. Therefore, the cost of adulterating 0.75 litres of milk with mineral water is Rs. 9.
Therefore, the cost price of 1 litre of adulterated milk with mineral water is (0.95A + 9/5) = (19A+18)/20.
Since Ramu sells at cost price, the selling price of 1 litre of milk is also (19A+18)/20.
Therefore, the answer is:
The cost of pure milk per litre is Rs. 0.95A.
The selling price of 1 litre of milk is also (19A+18)/20.
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Solution 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.)?
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Solution 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.)? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Solution 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.)? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution 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.)?.
Solution 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.)? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Solution 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.)? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution 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.)?.
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