एका मतदारसंघात, मतदार यादीत समाविष्ट असलेल्या एकूण लोकांपैकी 90% लोकांनी निवडणुकीदरम्यान मतदान केले. 15% मते अवैध ठरविण्यात आली. जीताला वैध मतांपैकी 60% मते मिळाली. जर जीताला 91,800 वैध मते मिळाली, तर मतदार यादीतील एकूण लोकांची संख्या किती होती?

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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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दिलेले आहे:

एकूण पडलेली मते = 90% × मतदार यादीतील एकूण लोकांची संख्या

अवैध मते = 15% × मतदान केंद्रावर टाकलेली मते

जीताला 60% × वैध मते मिळाली

जीताला 91,800 वैध मते मिळाली

गणना:

समजा, मतदार यादीतील एकूण लोकांची संख्या = 100x

एकूण मिळालेली मते = 100x × 90% = 90x

वैध मते = 90x × 85%

प्रश्नानुसार:

⇒ 90x × 85% × 60% = 91800

⇒ 90x = (91800 × 100 × 10)/(85 × 6)

⇒ x = (180 × 100 × 10)/90

⇒ x = 2000

मतदार यादीतील एकूण लोकांची संख्या = 100x

⇒ 100 × 2000 = 200000 लोक

योग्य उत्तर 200000 आहे.

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