Question : In a constituency, 85% of the total number of people on the electoral roll cast their votes during an election. 10% of the votes cast were declared invalid. If there were 3,00,000 people on the electoral roll and Dharam secured 1,37,700 valid votes, what percentage of the total number of valid votes did Dharam secure?
Option 1: 50.5%
Option 2: 70.2%
Option 3: 45.9%
Option 4: 60.0%
Correct Answer: 60.0%
Solution :
Given: Total number of people on the electoral roll = 3,00,000
Number of valid votes secured by Dharam = 1,37,700
Total number of people who cast their votes
= 85% of 3,00,000
= 2,55,000
Number of invalid votes
= 10% of 2,55,000
= 25,500
So, the number of valid votes
= 2,55,000 – 25,500
= 2,29,500
Now, the percentage of votes Dharam secured
= $\frac{137700}{229500}×100$
= 60.0%
Hence, the correct answer is 60.0%.
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