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Sovon

· started a discussion

· 1 Months ago

How is it calculated by x[1+(1.08)+(1.08)^2] ??

Question:

A sum of \(\unicode{x20B9} \)10000 is borrowed at 8% p.a compounded annually which is paid back in 3 equal annual  installments. What is the amount of each installments?

Options:
A) 3880
B) 4200
C) 3560
D) 3680
E) None of these
Solution:

Let, amount to each installment be Rs x,  

10000 (1.08)3=x [1+(1.08)+(1.08)2]

⇒ x = 3880.335 

∴ each installment = 3880.335

kanhaiya jha

· commented

· 1 Months ago



10000 (1.08)^3=x [1+(1.08)+(1.08)^2]

12597.12 = x * 3.2464

x = 12597.12 / 3.2464

⇒ x = 3880.335

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