Alcohol and water in two vessels A and B are in the ratio 5: 3 and 5: 4, respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C is the ratio 7: 5? [SSC (10+2) 2011] |
A) 2 : 3
B) 3 : 2
C) 3 : 5
D) 2 : 5
Correct Answer: A
Solution :
First of all we write the fraction of alcohol present in three mixtures. |
In \[A:\frac{5}{8}\]and in \[B:\frac{5}{9}\] |
In combination of A and B\[=\frac{7}{2}.\] |
Now, apply alligation rule, |
So, the required ratio \[=\frac{1}{36}:\frac{1}{24}=2:3\] |
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