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raveena yadav

· started a discussion

· 1 Months ago

Vote question (Question:115384.0)

How to calculate vote in this question

Question:
\(\cfrac{4}{5}\)th of the voters in Bellary promised to vote for Sonia Gandhi and the rest promised to vote for Sushma Swaraj. Of these voters, 10% of the voters who had promised to vote for Sonia Gandhi, did not vote on the election day, while 20% of the voters who had promised to vote for Sushma Swaraj did not vote on the election day. What is the total number of votes polled if Sonia Gandhi got 216 votes?
Options:
A) 200
B) 300
C) 264
D) 100
Solution:
Ans: (c) Let x be the total number of votes

Votes polled on the day of election


Alternate solution -

4/5 means 80%

\(\therefore\) 80/100 = 4/5

80% promise to vote for Sonia but actually voted 72%

20% promise to vote for Sushma but actually voted 16%

Because 72% = 216

1% = 3

\(\therefore\) 72 + 16 = 88 \(\times\) 3 = 264

Knowledge Expert

· commented

· 1 Months ago

Dear student

4/5 is nothing but 80%(therefore 80/100=4/5)
80% promised to vote for Sonia ,but actually voted =72%
20% promised to vote for Sushma ,but actually voted =16%
1%=3
Therefore,
Total polling = 72 + 16 =88% = 88 x 3 = 264

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