A loan of Rs. 12300 at 5% per annum compound interest, is to be repaid in two equal annual installments at the end of every year. Find the amount of each installment ?

  • 1Rs. 6651
  • 2Rs. 6615
  • 3Rs. 6516
  • 4Rs. 6156
Answer:- 1
Explanation:-

Solution:
5%=120=21 Installment20 Principal
Year         Principal         Installment  
⇒ I 20×21 21×21 ......(i)
⇒ II 400→ 441 .....(ii)
Since, installment is equal, hence multiply equation (i) by 21
⇒ Total principal = 420 + 400 = 820
⇒ 820 units = Rs. 12300
⇒ 1 units = Rs. 15
⇒ 441 units = Rs. 6615
∴ Each installment = Rs. 6615

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Year         Principal         Installment  
⇒ I 20×21 21×21 ......(i)
⇒ II 400→ 441 .....(ii)
Since, installment is equal, hence multiply equation (i) by 21
⇒ Total principal = 420 + 400 = 820
⇒ 820 units = Rs. 12300
⇒ 1 units = Rs. 15
⇒ 441 units = Rs. 6615
∴ Each installment = Rs. 6615 ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "
Solution:
5%=120=21 Installment20 Principal
Year         Principal         Installment  
⇒ I 20×21 21×21 ......(i)
⇒ II 400→ 441 .....(ii)
Since, installment is equal, hence multiply equation (i) by 21
⇒ Total principal = 420 + 400 = 820
⇒ 820 units = Rs. 12300
⇒ 1 units = Rs. 15
⇒ 441 units = Rs. 6615
∴ Each installment = Rs. 6615 ", "dateCreated": "7/24/2019 10:09:12 AM" } }
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