In an election between two candidates, the defeated candidate secured 42% of the valid votes polled and lost the election by 7,68,400 votes. If 82,560 votes were declared invalid and 20% people did NOT cast their vote, then the invalid votes were what percentage (rounded off to 1 decimal place) of the votes which people did NOT cast?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
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  1. 10.6 percent
  2. 9.8 percent
  3. 12.9 percent
  4. 6.8 percent

Answer (Detailed Solution Below)

Option 4 : 6.8 percent
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Given:

In an election between two candidates, the defeated candidate secured 42% of the valid votes polled and lost the election by 7,68,400 votes. 

82,560 votes were declared invalid and 20% of people did NOT cast their votes.

Calculation:

Percentage of total valid votes that winning candidate secured = (100 - 42) = 58%

% difference between the winning and defeated candidate = 58 - 42 = 16%

So, the total number of valid votes = 768400 ÷ 16% = 4802500

Total number of votes (both valid and invalid) = 4802500 + 82560 = 4885060

Total number of voters = 4885060 ÷ (100 - 20)% = 6106325

Number of people who didn't case vote = 6106325 × 20% = 1221265

Now, % = (82560/1221265) × 100% = 6.7602% ≈ 6.8%

∴ The invalid votes were 6.8% of the votes which people did NOT cast.

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