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Kamal took Rs. 6800 as a loan which along with interest is to be repaid in two equal annual installment. If the rate of interest is $$12\frac{1}{2}$$ % compounded annually, then the value of each installment is = ?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& {\text{Rate of interest}} \cr
& {\text{r}} = {\text{12}}\frac{1}{2}\% = \frac{1}{8} \cr} $$
Since, installment is equal hence multiply equation (i) by 9
⇒ Total principal = 72 + 64 = 136 units
136 units → 6800
1 units → 50
81 units → 4050
⇒ Each installment = Rs. 4050
| Year | Principal | Installment | |
| ⇒ I | 8×9 → | 9×9 | ......(i) |
| ⇒ II | 64 → | 81 | ......(ii) |
⇒ Total principal = 72 + 64 = 136 units
136 units → 6800
1 units → 50
81 units → 4050
⇒ Each installment = Rs. 4050
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