A certain quantity of water is mixed with milk priced at Rs 12 per litre. The price of mixture is Rs 8 per litre. Find out the ratio of water and milk in the new mixture.
Question
A certain quantity of water is mixed with milk priced at Rs 12 per litre. The price of mixture is Rs 8 per litre. Find out the ratio of water and milk in the new mixture.
Solution
To solve this problem, we can use the concept of alligation, which is a rule that allows us to find the ratio in which two or more ingredients at a given price must be mixed to produce a mixture of a desired price.
Here are the steps:
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First, we need to know the cost price of water which is 0 (since water is free).
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The cost price of milk is given as Rs 12 per litre.
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The mean price is the cost price of the mixture, which is given as Rs 8 per litre.
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Now, we subtract the smaller from the larger on the price scale to get the ratios.
So, the ratio of milk to water is (8-0) : (12-8) = 8 : 4
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Simplify the ratio to get the final ratio of milk to water in the mixture.
The simplified ratio is 2 : 1.
So, the ratio of water to milk in the mixture is 2 : 1.
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