A dishonest milkman professes to sell his milk at cost price but he mixes it with water and there by gains 25%. The percentage of water in the mixture is
Question
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and there by gains 25%. The percentage of water in the mixture is
Solution
This problem can be solved by understanding the concept of profit percentage and mixture.
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The milkman gains 25% profit by selling the milk at the cost price. This means that the cost price of 1 litre of milk is the same as the selling price of 1.25 litres of the mixture (milk + water).
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Since the selling price of the milk and the mixture is the same, the cost price of 1 litre of milk is equal to the cost price of 1.25 litres of the mixture.
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Because water is free, the cost price of the mixture is entirely due to the milk in it. Therefore, 1 litre of milk is present in 1.25 litres of the mixture.
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This means that 0.25 litres of water is present in 1.25 litres of the mixture.
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Therefore, the percentage of water in the mixture is (0.25/1.25)*100 = 20%.
So, the milkman mixes 20% of water in the milk.
Similar Questions
A dishonest milk man professes to sell milk at some cost price. But he mixes it with water and thereby gains 40%. What is the percentage of water in the mixture?
A dishonest milkman mixed 1 litre of water for every 3 litres of milk and thus made up 36 litres of milk. If he now adds 15 litres of milk to the mixture, find the ratio of milk and water in the new mixture.
In what ratio must water be mixed with milk to gain 25% by selling the mixture at cost price?*1:11:61:45:1
A milkman starts with a 100 liter can of pure milk from his dairy and he sells 10 liters of it to the first customer, then he adds 10 liters of water. After this, he sells 10 liters each to two customers and adds 20 liters of water. After this, he sells 10 liters each to three customers and adds 30 liters of water. Thus, every time he dilutes the mixture he sells it to one more customer than before and he keeps on replacing the mixture sold with water. In this way how many customers get at least 50% milk in the mixture that they purchase from this milkman
A shopkeeper has 80 litres of milk. He makes a profit of 25% by selling 1 litre of milk at Rs.15. How much water should he mix in the milk so as to increase his profit to 30% if he plans to sell the milk-water mixture at Rs. 15 per litre??
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