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(A) Let the initial value of the index be $100$.The weightage of the shares is as follows:Vision Power $= 7$,Vision Infra $= 13$,Vision Communication

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$5.34\%$

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(A) Let the initial value of the index be $100$.The weightage of the shares is as follows:Vision Power $= 7$,Vision Infra $= 13$,Vision Communication $= 15$,and the remaining shares $= 100 - (7 + 13 + 15) = 65$.Calculate the new values after the given percentage increases:New value of Vision Power $= 7 	imes (1 + 0.09) = 7.63$.New value of Vision Infra $= 13 	imes (1 + 0.10) = 14.3$.New value of Vision Communication $= 15 	imes (1 + 0.04) = 15.6$.The index rises by $6\%$,so the new total index value $= 100 	imes (1 + 0.06) = 106$.Let the new value of the remaining shares be $x$.$7.63 + 14.3 + 15.6 + x = 106$$37.53 + x = 106$$x = 106 - 37.53 = 68.47$.The increase in the remaining shares is $68.47 - 65 = 3.47$.The percentage increase $= (3.47 / 65) 	imes 100 = 5.338...\% \approx 5.34\%$.

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