From a container of wine 8 litres of wine is drawn and replace the same quantity with wate...........

Quantitative Aptitude ( CCS) Mixture and Alligation

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From a container of wine , 8 litres of wine is drawn and replace the same quantity with water. This is performed three more times, now the ratio of the quantity of wine to that of water in the container becomes 16 : 65. What is the initial quantity of wine in the container?

26 L

28 L

24 L

22 L

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Explanation:

Let x be the initial quantity of the wine .
After 4 operations the quantity of wine left = [x{1-(8/x)^4}]L
=> [x{1-(8/x)}^4] = 16 / 81
=>{1 – (8/x)}^4 = 16/81
=> (x -8)/x = 2/3
=> x = 24 L

Hence, option 3 is the correct answer.

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