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A mixture contains milk and water in the ratio 5:1. On adding 5 litres of water, the ratio of milk and water becomes 5:2. The quantity of milk in the original mixture is ?a.25 litresb.32.5litresc.16 litresd.22.75 litres

Question

A mixture contains milk and water in the ratio 5:1. On adding 5 litres of water, the ratio of milk and water becomes 5:2. The quantity of milk in the original mixture is ?a.25 litresb.32.5litresc.16 litresd.22.75 litres

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Solution

Let's solve this step by step:

Step 1: Let's assume the quantity of milk and water in the original mixture is 5x and x respectively.

Step 2: According to the problem, when 5 litres of water is added to the mixture, the ratio of milk to water becomes 5:2. So, we can write this as:

5x/(x+5) = 5/2

Step 3: Cross multiply to solve for x:

10x = 5x + 25

Step 4: Subtract 5x from both sides:

5x = 25

Step 5: Solve for x:

x = 5

Step 6: Substitute x = 5 into the assumed quantity of milk in the original mixture:

Quantity of milk = 5x = 5*5 = 25 litres

So, the quantity of milk in the original mixture is 25 litres. Therefore, the answer is (a) 25 litres.

This problem has been solved

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