Question

Vessel contains 40 liters wine. If x liters of wine is taken out and replaced with water, this process is repeated two more times and then quantity of wine in the vessel is 20.48 liters, find the value of x?

A 12 liters Correct Answer Incorrect Answer
B 5 liters Correct Answer Incorrect Answer
C 7 liters Correct Answer Incorrect Answer
D 15 liters Correct Answer Incorrect Answer
E 8 liters Correct Answer Incorrect Answer

Solution

=> 40 × (1 – x/40)3 = 20.48 => (1 – x/40)3 = 20.48/40 => (1 – x/40)3 = 512/1000 => 1 – 8/10 = x/40 => x = 8 liters

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