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दिपकले कुनै रकम वार्षिक 5% व्याजदरमा 2 वर्षका लागि साधारण व्याजदरमा ऋण लियो । उसले सो रकम उही व्याजदरमा उत्ति नै समयका लागि साथी प्रकाशलाई वार्षिक चक्रीय व्याजमा सापटि दियो । यो प्रक्रियाबाट दिपकले रु. 50 नाफा गन्यो । Dipak has taken some loan at the rate of 5% simple interest for 2 years and immediately lent the sum to his friend Prakash at same ratecompounded annually for same duration. In this transaction Dipak has gained Rs 50. a). तलका मध्ये अर्धबार्षिक चक्रिय व्याज पत्ता लगाउने सुत्र कुन हो ? Which of the following is the formula to find compound interest compounded half-yearly? [1]​

Respuesta :

Answer :

  • A = P(1+r/2)^2t

Explanation :

The formula to find the compound interest is given by,

  • A = P(1+r/n)^nt

wherein,

  • A = amount after n years
  • P = initial amount
  • r = rate of interest
  • n = number of times interest is compounded annually
  • t = time period in years

when the interest is compounded half-yearly, the formula would become

  • A = P(1+r/2)^2t

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To find the compound interest after 2 years ,we firstly are required to find the initial amount 'P' using the simple interest formula

  • simple interest = P*r*t
  • Rs. 50 = P*5%*2
  • Rs. 50 = P*0.1
  • P = Rs 50/0.1
  • P = 500

now, we can find the compound interest

  • A = 500(1+0.05/2)^2*2
  • A = 500(1+ 0.025)^4
  • A = 500 (1.025)^4
  • A = 500*1.1
  • A = 550