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
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
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