Divide $R s . 391$ into three parts in proportion in to the fraction $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$

102, 136, 153

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136, 102, 153

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153, 136, 102

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None of these

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Solution

The correct option is A $102, 136, 153$
$\frac{1}{2} x + \frac{2}{3} x + \frac{3}{4} x = 391$
$\Rightarrow \frac{6 x + 8 x + 9 x}{12} = 391$
$\Rightarrow x = 204$
$\Rightarrow 102, 136, 153$

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