If W₁: W₂=2: 3 and W₁: W₃=1: 2, then W₂ : W₃ is · ABC26GN2993
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: S.S.C. 2010
If $W_{1}: W_{2}=2: 3$ and $W_{1}: W_{3}=1: 2$, then $W_{2}$ : $W_{3}$ is
(a)3 : 4
(b)4 : 3
(c)2 : 3
(d)4 : 5
Answer
Explanation
$\frac{W_{2}}{W_{1}}=\frac{3}{2}$ and $\frac{W_{1}}{W_{3}}=\frac{1}{2}$ $$\Rightarrow \frac{W_{2}}{W_{3}}=\left(\frac{W_{2}}{W_{1}} \times \frac{W_{1}}{W_{3}}\right)=\frac{3}{2} \times \frac{1}{2}=\frac{3}{4} \Rightarrow W_{2}: W_{3}=3: 4 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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