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Word Problems

Choose the co...

Question

Choose the correct answer from the alternative given.
If $W_{1} : W_{2}$ = $2 : 3$ and $W_{1} : W_{3}$ = $l : 2$ then $W_{2} : W_{3}$ is

3:4

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4:3

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2:3

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4:5

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Solution

The correct option is A 3:4
$\frac{W_{1}}{W_{2}} = \frac{2}{3} \to \frac{W_{2}}{W_{3}} = \frac{3}{2} a n d \frac{W_{1}}{W_{3}} = \frac{1}{2}$
Hence, $\frac{W_{2}}{W_{1}} \times \frac{W_{1}}{W_{3}} = \frac{W_{2}}{W_{3}} = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4} = 3 : 4$

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