एका ठरावीक रकमेवर 3 वर्षांसाठी दसादशे 5% व्याजदराने आकारलेल्या चक्रवाढ व्याज आणि सरळव्याजातील फरक 190.625 आहे, तर रक्कम काढा. 

  1. 25,000 रुपये 
  2. 28,000 रुपये 
  3. 30,000 रुपये 
  4. 35,000 रुपये 

Answer (Detailed Solution Below)

Option 1 : 25,000 रुपये 
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Detailed Solution

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दिल्याप्रमाणे:

दर = दसादशे 5% 

3 वर्षांसाठी चक्रवाढ व्याज आणि सरळव्याजातील फरक  = 190.625 रुपये

वापरलेले सूत्र:

3 वर्षांसाठी फरक  = \({\rm{P}}{\left( {\frac{{\rm{R}}}{{100}}{\rm{\;}}} \right)^2}\left( {\frac{{300{\rm{\;}} + {\rm{\;R}}}}{{100}}} \right)\)

गणना:

\(\Rightarrow {\rm{}}190.625{\rm{}} = {\rm{P}}{\left( {\frac{5}{{100}}} \right)^2}\left( {\frac{{300{\rm{\;}} + {\rm{\;}}5}}{{100}}} \right)\)

\( \Rightarrow {\rm{}}190.625{\rm{}} = {\rm{P}}\left( {\frac{1}{{400}}} \right)\left( {\frac{{305}}{{100}}} \right)\)

⇒ P = (190.625 × 400 × 100)/305 रुपये

⇒ P = 25,000 रुपये

∴ 25,000 रुपये​ ही रक्कम आहे.

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