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:total left in pot is 8 : 27.
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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