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Chamanial, Arshad and Jagjit Singh contested an election. All the votes polled were valid. Arshad got 35% ofthe total votes. For
every 35 votes Chamanilal got 14 votes. The winner got 4950 more votes than the person who received the least number of
votes. Find the total number of votes polled.
99000
33000
13378
38000
- Arshad received 35% of the total votes.
- Chamanial got 14 for every 35 votes cast, meaning Chamanial received 2/5 of the votes.
- If Chamanial got 2/5 of the votes, he would have received (2/5) * total votes.
- Jagjit Singh would have received the remaining votes.
- The winner got 4950 more votes than the candidate with the least votes.
- This relationship helps equate the total votes to find the solution.
Let's calculate:
- Let total votes = \( V \).
- Arshad's votes = \( 0.35V \).
- Chamanial's votes = \( \frac{2}{5}V = 0.4V \).
- Jagjit Singh's votes will thus be \( V - (0.35V + 0.4V) = 0.25V \).
- The winner has 4950 more votes than the candidate with the least votes.
- Chamanial's votes exceed Jagjit Singh's votes by \( 0.4V - 0.25V = 0.15V \).
- Set this difference to 4950:
\( 0.15V = 4950 \).
- Solving gives:
\( V = 4950 / 0.15 = 33000 \).
- \(\color{green}\checkmark\) Correct Answer: Option 2, 33000.
By: santosh ProfileResourcesReport error
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