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May 6th, 2021
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  1. Answer :
  2. 8320
  3.  
  4. Explanation :
  5. We know, Compound interest = Amount - principal
  6.  
  7. Using Amount formula :
  8. [tex]\bigg(1 + \dfrac{r}{100}\bigg)^n[/tex]
  9. Where,
  10. p(principal) = 50,000
  11. r(rate) = 8% n(time) = 2 years.
  12.  
  13. On substituting the given values,
  14. [tex]\sf \longrightarrow 50000\bigg(1 + \dfrac{8}{100} \bigg)^{2} \\ \sf \longrightarrow \: 50000\bigg( \dfrac{108}{100} \bigg)^{2} \\ \sf \longrightarrow \: 5 \cancel{0000} \times \dfrac{108}{1 \cancel{00}} \times \dfrac{108}{1 \cancel{00}} \\ \sf \longrightarrow \: 5 \times 108 \times 108\\ \sf \longrightarrow \: 58320[/tex]
  15.  
  16. ∴ Compound interest = 58,320 - 50,000 = 8,320∴ Required answer : ₹8,320
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