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?
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.
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