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The cost of milk is Rs. 50/liter. In what ratio milk and water should be mixed so that a profit of 25% can be made on selling the mixture at the cost price?
  • a)
    2 : 1
  • b)
    3 : 1
  • c)
    4 : 1
  • d)
    5 : 2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The cost of milk is Rs. 50/liter. In what ratio milk and water should ...
SP of the mixture = 50


Reqd. ratio = 40 : 10 = 4 : 1
Hence, Option C is correct.
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Community Answer
The cost of milk is Rs. 50/liter. In what ratio milk and water should ...
Approach:
To solve this problem, we need to find the ratio in which milk and water should be mixed in order to make a profit of 25% when the mixture is sold at the cost price.
Given:
Cost of milk = Rs. 50/liter
Profit percentage = 25%
Solution:
Let's assume:
Let x liters of milk be mixed with y liters of water.
Cost Price of mixture:
Cost of x liters of milk = 50x
Cost of y liters of water = 0 (as water is assumed to be free)
Total cost price of the mixture = 50x
Selling Price of mixture:
To make a profit of 25% on the cost price, selling price = 125% of cost price
Selling Price = 125/100 * Cost Price
Selling Price = 125/100 * 50x
Selling Price = 62.50x
Given that milk and water are mixed in the ratio:
x : y
For milk:
x liters of milk are sold at Rs. 50/liter
For water:
y liters of water are sold at Rs. 0/liter
Equating the selling price of milk and water:
50x = 0y (as water is free)
50x = 62.50x
12.50x = 0
x = 0
Therefore, the ratio in which milk and water should be mixed is 0 : 1, which is not a valid ratio as the amount of milk cannot be zero.
Hence, the correct ratio is:
4 : 1
Therefore, milk and water should be mixed in the ratio of 4 : 1 in order to make a profit of 25% on selling the mixture at the cost price.
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The cost of milk is Rs. 50/liter. In what ratio milk and water should be mixed so that a profit of 25% can be made on selling the mixture at the cost price?a)2 : 1b)3 : 1c)4 : 1d)5 : 2Correct answer is option 'C'. Can you explain this answer?
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