Calculate the missing information for the installment loan that is being paid off early.
| Number of Payments |
Payments Made |
Payments Remaining |
Sum-of-the- Digits Payments Remaining |
Sum-of-the- Digits Number of Payments |
Rebate Fraction |
|---|---|---|---|---|---|
| 36 | 21 |
Solution :-
(i)Payments Remaining = Total payments - Payments Made
= 36 - 21 = 15 Payments Remaining
Sum of digits is to be calculated by n(n+1) /2
(ii) Sum of digits Payments Remaining (SOD Payment Remaining) = 15*(15+1) / 2 = 120
(iii) Sum of digits Number of Payments (SOD Number of Payments) = 36*(36+1) / 2 = 666
(iv) Rebate Fraction = SOD Payment remaining / SOD Number of Payment = 120 / 666 = 18.02%
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