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The amount of debt that will be discharged by 5 equal monthly instalments of ₹1,845 each, at the rate of 48% simple interest per annum, is:

  1. A
    ₹9,936
  2. B
    ₹9,468
  3. C
    ₹9,048
  4. D
    ₹9,963

Solution & Step-by-step Explanation

Monthly installment amount (x) = ₹1,845
Number of monthly installments (n) = 5
Annual interest rate = 48% per annum.
Monthly interest rate (r) =
12
48%

=4% per month = 0.04

The total debt discharged is equal to the sum of the installments plus the interest each installment earns up to the end of the 5
th
month:

The 1
st
installment earns interest for 4 months.

The 2
nd
installment earns interest for 3 months.

The 3
rd
installment earns interest for 2 months.

The 4
th
installment earns interest for 1 month.

The 5
th
installment earns interest for 0 months.

Total Debt=5x+
100
x×r×(4+3+2+1+0)


Total Debt=5(1845)+
100
1845×4×10


Total Debt=9225+
100
1845×40


Total Debt=9225+18.45×40
Total Debt=9225+738=₹9,963

Practice this question

Try it yourself before checking the explanation above.

The amount of debt that will be discharged by 5 equal monthly instalments of ₹1,845 each, at the rate of 48% simple interest per annum, is:
A
₹9,936
B
₹9,468
C
₹9,048
D
₹9,963

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