Question : If $W_{1}:W_{2}= 2:3$ and $W_{1}:W_{3}= 1:2$, then $W_{2}:W_{3}$ is:
Option 1: 3 : 4
Option 2: 4 : 3
Option 3: 2 : 3
Option 4: 4 : 5
Correct Answer: 3 : 4
Solution :
$W_{1}:W_{2}= 2:3$
and $W_{1}:W_{3}= 1:2$
Equalising the ratio as $W_1$ is common in both, 2 is multiplied in $W_{1}:W_{3}= 2:4$
The ratio becomes
$W_{1}:W_{2}:W_3= 2:3:4$
So, the ratio of $W_{2}:W_{3}$ is $3:4$.
Hence, the correct answer is 3 : 4.
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