In a recent opinion poll held during April,60 | vedclass

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Question

(A) Let the total number of respondents be $100.$In April,$IAC$ supporters $= 60$ and $IPP$ supporters $= 40.$In May,$10 \%$ of $IAC$ supporters ($6$

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$14$

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(A) Let the total number of respondents be $100.$In April,$IAC$ supporters $= 60$ and $IPP$ supporters $= 40.$In May,$10 \%$ of $IAC$ supporters ($6$ people) switched to $IPP,$ and $10 \%$ of $IPP$ supporters ($4$ people) switched to $IAC.$New $IAC$ count $= 60 - 6 + 4 = 58.$New $IPP$ count $= 40 - 4 + 6 = 42.$Let $x$ be the percentage of the total electorate that must switch from $IAC$ to $IPP$ to make the counts equal.$58 - x = 42 + x$$16 = 2x$$x = 8.$Wait,re-evaluating the requirement: To make them equal,$IAC$ must lose $8$ and $IPP$ must gain $8$. Since $58 - 42 = 16$,shifting $8$ from $IAC$ to $IPP$ results in $58 - 8 = 50$ and $42 + 8 = 50$. The required percentage is $8 \%$. Given the options provided,there may be a discrepancy in the original question's expected answer. Based on the calculation,the correct value is $8 \%$. If we assume the question implies the total shift from the original $60$,the calculation holds.

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