एक निर्वाचन क्षेत्र में, मतदाता सूची में शामिल कुल लोगों में से 90% लोगों ने चुनाव के दौरान अपना वोट डाला। डाले गए 15% वोट अवैध घोषित कर दिए गए। जीतने वाले को वैध वोट के 60% मिले। यदि जीतने वाले को 91,800 वैध वोट मिले, तो मतदाता सूची में कुल लोगों की संख्या क्या थी?

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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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दिया गया है:

डाले गए कुल वोट = 90% × मतदाता सूची में शामिल लोगों की कुल संख्या

अवैध वोट = 15% × चुनाव केंद्र पर डाले गए वोट

जीतने वाले को 60% × वैध वोट मिले।

जीतने वाले को 91,800 वैध वोट मिले

गणना:

मान लीजिए, मतदाता सूची में लोगों की कुल संख्या = 100x

कुल डाले गए वोट = 100x × 90% = 90x

वैध वोट = 90x × 85%

प्रश्न के अनुसार:

⇒ 90x × 85% × 60% = 91800

⇒ 90x = (91800 × 100 × 10)/(85 × 6)

⇒ x = (180 × 100 × 10)/90

⇒ x = 2000

मतदाता सूची में लोगों की कुल संख्या = 100x

⇒ 100 × 2000 = 200000 लोग

∴ सही उत्तर 200000 है।

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