In an election between two candidates, 12% of voters did not cast their votes. The winner by obtaining 68% of the total voters defeated his contestant by 2880 votes. What was the total number of voters who cast their votes in the election?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 3)
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  1. 5280
  2. 8000
  3. 4000
  4. 6000

Answer (Detailed Solution Below)

Option 1 : 5280
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Detailed Solution

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Given:

In an election between two candidates, 12% of voters did not cast their votes.

The winner by obtaining 68% of the total votes defeated his contestant by 2880 votes. 

Calculation:

Let total voters be 100a

So, total voters who casted their vote = 88a

Now,

Winner got 100a × 68%

⇒ 68a

So, losing candidate got 88a - 68a

⇒ 20a

According to the question,

68a - 20a = 2880

⇒ 48a = 2880

⇒ a = 60

So, number of voters who casted their votes = 60 × 88

⇒ 5280

∴ The total number of voters who cast their votes in the election was 5280.

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