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?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)

Answer 1

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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