QA – Placement Quizzes | Mixtures and Alligation | Question 8

8 liters of wine is replaced by water from a pot full of wine and repeated this two more times. The ratio of the wine :water left in pot is 8 : 19. How much wine was there in the pot originally?
(A) 32
(B) 26
(C) 28
(D) 24


Answer: (D)

Explanation: Let initial quantity of wine =x litre

After a total of 1+2=3 operations, quantity of wine
=x(1−y/x)n =x(1−8/x)3
⇒x(1−8/x)3 x=8/27

⇒(1−8/x)3=(2/3)3

⇒(1−8/x)=2/3

⇒x=24

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