പ്രതിവർഷം 5% എന്ന നിരക്കിൽ 3 വർഷത്തേക്ക് ഒരു തുകയുടെ കൂട്ടുപലിശയും സാധാരണ പലിശയും തമ്മിലുള്ള വ്യത്യാസം  190.625 രൂപയാണ്. തുക കണ്ടെത്തുക.

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

Answer (Detailed Solution Below)

Option 1 : 25,000 രൂപ 
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Detailed Solution

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നൽകിയിരിക്കുന്നത്:

നിരക്ക് = പ്രതിവർഷം 5%

3 വർഷത്തേക്ക് C.I-യും S.I-യും തമ്മിലുള്ള വ്യത്യാസം = 190.625 രൂപ 

ഉപയോഗിച്ച സൂത്രവാക്യം:

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

കണക്കുകൂട്ടൽ:

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

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

⇒ P = (190.625 × 400 × 100)/305 രൂപ 

⇒ P = 25,000 രൂപ 

∴ തുക 25,000  രൂപയാണ്.

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