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A pot contains 40 litres of juice. How much juice will be there in the pot, if 4 litres of juice was removed and was replaced by water and this process was further repeated twice?

Question

A pot contains 40 litres of juice. How much juice will be there in the pot, if 4 litres of juice was removed and was replaced by water and this process was further repeated twice?

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Solution

Step 1: Initially, the pot contains 40 litres of juice.

Step 2: When 4 litres of juice is removed, the pot will have 36 litres of juice left.

Step 3: When 4 litres of water is added, the total volume in the pot remains 40 litres, but only 36 litres of it is juice.

Step 4: This process is repeated twice more. Each time, 4 litres of the mixture (which is 90% juice) is removed and replaced with water.

Step 5: After the first repeat, the pot will contain 90% of 36 litres of juice, which is 32.4 litres.

Step 6: After the second repeat, the pot will contain 90% of 32.4 litres of juice, which is 29.16 litres.

So, after this process is repeated twice, there will be approximately 29.16 litres of juice left in the pot.

This problem has been solved

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