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8 liters were taken out of a pot filled with mango juice and filled with water. This process is done three more times. The ratio of the amount of mango juice left in the pot to that of the total solution is 16 : 81. In the beginning, how much mango juice was there in the pot?1. 25 liters2. 36 liters3. 30 liters4. 24 liters |
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Answer» Correct Answer - Option 4 : 24 liters Given : 8 litres of water is taken out from a jar filled with mango juice. This process is done for 4 times. In final mixture ratio of mango juice to total solution is 16 : 81 Formula used : [Total amount - amount replaced each time)/total amount)n = Final concentration/Initial concentration (where n is the number of times process performed) Calculations : Let the total amount or mango juice be 'A' According to the question [(A - 8)/A]4 = 16/81 [(A - 8)/A] = 2/3 3A - 24 = 2A ⇒ A = 24 ∴ Initially, there were 24 litres of mango juice in the pot |
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