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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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 ($6$

Vedclass · Accepted Answer

$14$

Vedclass · Answer

(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.

Similar Questions

$A$ scored $30\%$ marks and failed by $15$ marks. $B$ scored $40\%$ marks and obtained $35$ marks more than that required to pass. The pass percentage is: (in $\%$)

Rice is now being sold at $Rs. 30$ per $kg$. During last month,its rate was $Rs. 26$ per $kg$. Find by how much percentage must a family reduce its consumption to keep the expenditure fixed?

In a motor of $120$ machine parts,$5 \%$ parts were defective. In another motor of $80$ machine parts,$10 \%$ parts were defective. For the two motors considered together,the percentage of defective machine parts was (in $\%$)

The population of a town is $32000$. It increases $15\%$ annually. What will it be in $2$ years?

$A$ man spends $75 \%$ of his income. His income increases by $20 \%$ and his expenditure also increases by $10 \%$. The percentage of increase in his savings is (in $\%$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module