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? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 3)
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  1. 50.5%
  2. 70.2%
  3. 45.9%
  4. 60.0%

Answer (Detailed Solution Below)

Option 4 : 60.0%
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Detailed Solution

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Given:

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.

Calculation:

The number of casted votes

⇒ 300000 × 85/100 =2,55,000

Number of valid votes,

⇒ 2,55,000 × 90 /100 = 229500

Percentage of votes Dharam secured

⇒ (137700 / 229500) × 100 = 60%

∴ The correct option is 4

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