கூட்டு வட்டி மற்றும் எளிய வட்டிக்கு 3 ஆண்டுகளுக்கு ஒரு வருடத்திற்கு 5% என்ற விகிதத்தில் ரூ. 190.625 என்ற வித்தியாசம் இருந்தால், அதன் தொகையைக் கண்டறியவும்.

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

Answer (Detailed Solution Below)

Option 1 : ரூ. 25,000
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Detailed Solution

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கொடுக்கப்பட்டவை:

விகிதம் = ஆண்டுக்கு 5%

3 ஆண்டுகளாக கூட்டு வட்டிக்கும் எளிய வட்டிக்கும் இடையிலான வேறுபாடு = ரூ. 190.625

பயன்படுத்தப்படும் சூத்திரம்:

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

கணக்கீடு:

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

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

⇒ P = Rs. (190.625 × 400 × 100)/305

⇒ P = Rs. 25,000

∴ தொகையானது ரூ. 25,000 ஆகும்

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