Question : In a constituency, 90% of the total number of people on the electoral roll cast their votes during an election. 15% of the votes cast were declared invalid. Jeeta secured 60% of the valid votes. If Jeeta secured 91,800 valid votes, what was the total number of people on the electoral roll?
Option 1: 2,16,000
Option 2: 2,25,000
Option 3: 1,80,000
Option 4: 2,00,000
Correct Answer: 2,00,000
Solution :
Given:
Jeeta secured 60% of the valid votes.
Jeeta secured 91,800 valid votes.
So, total valid votes = $\frac{91800}{60}×100=153000$
15% of the votes cast were declared invalid.
So, the total cast valid votes = (100 – 15)% of votes cast = 85% of votes cast = 1,53,000
So, total casted vote = $\frac{153000}{85}×100 = 180000$
90% of people cast their votes, which is 1,80,000.
So, total votes = $\frac{180000}{90}×100=200000$
Hence, the correct answer is 2,00,000.
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