A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture becomes 1 : 1 = ?
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{3}{4}$$
D. $$\frac{2}{3}$$
Answer: Option B
Solution(By Examveda Team)
Original ratio of the mixture 3:1Taking out the mixture actually means just taking out the wine because the water anyways is going to be added back.
if we remove 1 part of wine, it makes the ratio 2 : 2 ( 1 part water is added to keep the volume constant )
so, what we have actually done is remove 1 part wine from 3 part Wine.
i.e. $$\frac{1}{3}$$
So, $$\frac{1}{3}$$ mixture drawn.
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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