शहराची लोकसंख्या दरवर्षी 5% वाढते. जर सध्याची लोकसंख्या 9261 असेल तर 3 वर्षांपूर्वीची लोकसंख्या किती होती?

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MPSC Prelims Exam CSAT Official Paper-II (Held On: 1st December 2024)
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  1. 5700
  2. 6000
  3. 7500
  4. 8000

Answer (Detailed Solution Below)

Option 4 : 8000
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योग्य उत्तर पर्याय 4 आहे.

Key Points 

लोकसंख्या वाढीचे सूत्र वापरा

P = P₀ × (1 + r)3

येथे:

P = सध्याची लोकसंख्या = 9261

r = वाढीचा दर =  5% = 0.05

P₀ साठी सोडवा

P₀ = \(\frac{P}{(1 + r)^3}\) = \(\frac{9261}{(1.05)^3}\)

\((1.05)^3 \) = 1.157625 मोजा

P₀ मोजा

P₀ = \(\frac{9261}{1.157625}\) = अंदाजे 8000

3 वर्षांपूर्वी लोकसंख्या सुमारे 8000 होती.

म्हणून योग्य उत्तर पर्याय 4 आहे.

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