In Mumbai,60 % of the registered voters are B | vedclass

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Question

(A) Let $y$ be the total number of registered voters in Mumbai.Given that $60 \%$ of the voters are $BJP$-supporters,the number of $BJP$-supporters is

Vedclass · Accepted Answer

$53$

Vedclass · Answer

(A) Let $y$ be the total number of registered voters in Mumbai.Given that $60 \%$ of the voters are $BJP$-supporters,the number of $BJP$-supporters is $0.60y$.The remaining voters are Congress-supporters,which is $100 \% - 60 \% = 40 \%$. Thus,the number of Congress-supporters is $0.40y$.It is expected that $75 \%$ of $BJP$-supporters will vote for candidate $X$,which is $0.75 	imes 0.60y = 0.45y$.It is expected that $20 \%$ of Congress-supporters will vote for candidate $X$,which is $0.20 	imes 0.40y = 0.08y$.The total percentage of registered voters expected to vote for candidate $X$ is the sum of these two groups:Total $= 0.45y + 0.08y = 0.53y$.Converting this to a percentage,we get $0.53 	imes 100 = 53 \%$.Therefore,$53 \%$ of the registered voters are expected to vote for candidate $X$.

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