In an election between two candidates, one got 60% of the total valid votes and 15% of the votes were invalid. If the total number of votes were 8400, the number of valid votes that the other candidate got were:

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 03 Jul, 2024 Shift 4)
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  1. 2998
  2. 2856
  3. 3117
  4. 3213

Answer (Detailed Solution Below)

Option 2 : 2856
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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Given:

Total number of votes = 8400

Invalid votes percentage = 15%

Valid votes percentage = 100% - 15% = 85%

One candidate's valid votes percentage = 60%

Formula Used:

Valid votes = Total votes × Valid votes percentage

Other candidate's votes = Total valid votes - One candidate's valid votes

Calculation:

Valid votes = 8400 × 85% = 8400 × 0.85

⇒ Valid votes = 7140

One candidate's valid votes = 7140 × 60% = 7140 × 0.60

⇒ One candidate's valid votes = 4284

Other candidate's valid votes = 7140 - 4284

⇒ Other candidate's valid votes = 2856

The number of valid votes that the other candidate got were 2856.

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