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Mr. X borrowed R.s 5120 at 12 ½ % p.a C.I.At the end of 3 yrs, the money was repaid along with the interest accrued. The ammount of interest paid by him is 
  • a)
    Rs. 2100
  • b)
    Rs. 2170
  • c)
    Rs. 2000
  • d)
    None of these 
Correct answer is option 'B'. Can you explain this answer?
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Mr. X borrowed R.s 5120 at 12½ % p.a C.I.At the end of 3 yrs, t...
% per annum interest. The interest was compounded annually and he repaid the loan after 3 years.

To calculate the amount repaid, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = the total amount repaid
P = the principal amount (R.s 5120)
r = the annual interest rate (12% or 0.12)
n = the number of times interest is compounded per year (in this case, 1, since it is compounded annually)
t = the number of years (3)

Plugging in the values into the formula:

A = 5120(1 + 0.12/1)^(1*3)
A = 5120(1 + 0.12)^3
A = 5120(1.12)^3
A = 5120(1.404928)
A = R.s 7196.44

Therefore, Mr. X repaid a total amount of R.s 7196.44.
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Mr. X borrowed R.s 5120 at 12½ % p.a C.I.At the end of 3 yrs, the money was repaid along with the interest accrued. The ammount of interest paid by him isa)Rs. 2100b)Rs. 2170c)Rs. 2000d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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