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? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)
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  1. 2,16,000
  2. 2,25,000
  3. 1,80,000
  4. 2,00,000

Answer (Detailed Solution Below)

Option 4 : 2,00,000
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Detailed Solution

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Given:

Total votes cast = 90% × the total number of people on the electoral roll

Invalid votes = 15% ×  the votes cast at the election centre

Jeeta got 60% × valid votes

Jeeta got 91,800 valid votes

Calculation:

Let, the total number of people on the electoral roll = 100x

Total votes cast = 100x × 90% = 90x

Valid votes = 90x × 85%

According to the question:

⇒ 90x × 85% × 60% = 91800

⇒ 90x = (91800 × 100 × 10)/(85 × 6)

⇒ x = (180 × 100 × 10)/90

⇒ x = 2000

The total number of people on the electoral roll = 100x

⇒ 100 × 2000 = 200000 people

∴ The correct answer is 200000.

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