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A milkman sells milk at the rate of Rs 50 per liter. The milk sold contains 25% water. Assuming that the cost of the milk is Rs. 40 per liter, what is the profit per liter made by the milkman?
  • a)
    Rs. 20
  • b)
    Rs. 15
  • c)
    Rs. 10
  • d)
    Rs. 25
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A milkman sells milk at the rate of Rs 50 per liter. The milk sold con...
To find the profit per liter made by the milkman, we need to calculate the cost price per liter and subtract it from the selling price per liter.

Given:
Selling price per liter = Rs 50
Water content in milk = 25%

Step 1: Calculate the cost price per liter
Since the milk contains 25% water, the remaining 75% is pure milk.
Let's assume the cost price per liter of pure milk is x.

75% of x (0.75x) is the cost of the milk.

Given that the cost of the milk is Rs. 40 per liter, we can set up the following equation:
0.75x = Rs. 40

Solving for x, we get:
x = Rs. (40 / 0.75)
x = Rs. 53.33 (approx.)

Therefore, the cost price per liter of pure milk is Rs. 53.33.

Step 2: Calculate the profit per liter
Profit per liter = Selling price per liter - Cost price per liter
Profit per liter = Rs. 50 - Rs. 53.33
Profit per liter = - Rs. 3.33 (approx.)

Since the profit is negative, it means there is a loss of Rs. 3.33 per liter.

However, the options given suggest that the answer is a profit of Rs. 20 per liter. This discrepancy could be due to a mistake in the question or the options provided. Please double-check the question and options to ensure accuracy.
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Community Answer
A milkman sells milk at the rate of Rs 50 per liter. The milk sold con...
Milk contains 25% water and 75% milk.
Therefore, 1 liter milk contains only 750 ml of milk.
Cost of 750 ml milk = 40 * (750/1000) = 40 * 3/4 = Rs. 30
Since, 750 ml of milk is diluted to one liter and sold at the rate of Rs. 50 per liter.
Selling price of 1 Liter milk = Rs. 50.
Profit per liter = Rs. 50 - Rs. 30 = Rs. 20.
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A milkman sells milk at the rate of Rs 50 per liter. The milk sold contains 25% water. Assuming that the cost of the milk is Rs. 40 per liter, what is the profit per liter made by the milkman?a)Rs. 20b)Rs. 15c)Rs. 10d)Rs. 25Correct answer is option 'A'. Can you explain this answer?
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